16 files changed, 5608 insertions, 65 deletions

diff --git a/.gitignore b/.gitignore
index 73b4789..b6f82fe 100755
--- a/.gitignore
+++ b/.gitignore
@@ -5,4 +5,7 @@
 *.blg
 *.out
 *.brf
+*.gz
+*.fls
+*.fdb_latexmk
 /*.pdf
diff --git a/abbrvnat.bst b/abbrvnat.bst
new file mode 100644
index 0000000..6109cb7
--- /dev/null
+++ b/abbrvnat.bst
@@ -0,0 +1,1436 @@
+%% File: `abbrvnat.bst'
+%% A modification of `abbrv.bst' for use with natbib package 
+%%
+%% Copyright 1993-2007 Patrick W Daly
+%% Max-Planck-Institut f\"ur Sonnensystemforschung
+%% Max-Planck-Str. 2
+%% D-37191 Katlenburg-Lindau
+%% Germany
+%% E-mail: daly@mps.mpg.de
+%%
+%% This program can be redistributed and/or modified under the terms
+%% of the LaTeX Project Public License Distributed from CTAN
+%% archives in directory macros/latex/base/lppl.txt; either
+%% version 1 of the License, or any later version.
+%%
+ % Version and source file information:
+ % \ProvidesFile{natbst.mbs}[2007/11/26 1.93 (PWD)]
+ %
+ % BibTeX `plainnat' family
+ %   version 0.99b for BibTeX versions 0.99a or later,
+ %   for LaTeX versions 2.09 and 2e.
+ %
+ % For use with the `natbib.sty' package; emulates the corresponding
+ %   member of the `plain' family, but with author-year citations.
+ %
+ % With version 6.0 of `natbib.sty', it may also be used for numerical
+ %   citations, while retaining the commands \citeauthor, \citefullauthor,
+ %   and \citeyear to print the corresponding information.
+ %
+ % For version 7.0 of `natbib.sty', the KEY field replaces missing
+ %   authors/editors, and the date is left blank in \bibitem.
+ %
+ % Includes field EID for the sequence/citation number of electronic journals
+ %  which is used instead of page numbers.
+ %
+ % Includes fields ISBN and ISSN.
+ %
+ % Includes field URL for Internet addresses.
+ %
+ % Includes field DOI for Digital Object Idenfifiers.
+ %
+ % Works best with the url.sty package of Donald Arseneau.
+ %
+ % Works with identical authors and year are further sorted by
+ %   citation key, to preserve any natural sequence.
+ %
+ENTRY
+  { address
+    author
+    booktitle
+    chapter
+    doi
+    eid
+    edition
+    editor
+    howpublished
+    institution
+    isbn
+    issn
+    journal
+    key
+    month
+    note
+    number
+    organization
+    pages
+    publisher
+    school
+    series
+    title
+    type
+    url
+    volume
+    year
+  }
+  {}
+  { label extra.label sort.label short.list }
+
+INTEGERS { output.state before.all mid.sentence after.sentence after.block }
+
+FUNCTION {init.state.consts}
+{ #0 'before.all :=
+  #1 'mid.sentence :=
+  #2 'after.sentence :=
+  #3 'after.block :=
+}
+
+STRINGS { s t }
+
+FUNCTION {output.nonnull}
+{ 's :=
+  output.state mid.sentence =
+    { ", " * write$ }
+    { output.state after.block =
+        { add.period$ write$
+          newline$
+          "\newblock " write$
+        }
+        { output.state before.all =
+            'write$
+            { add.period$ " " * write$ }
+          if$
+        }
+      if$
+      mid.sentence 'output.state :=
+    }
+  if$
+  s
+}
+
+FUNCTION {output}
+{ duplicate$ empty$
+    'pop$
+    'output.nonnull
+  if$
+}
+
+FUNCTION {output.check}
+{ 't :=
+  duplicate$ empty$
+    { pop$ "empty " t * " in " * cite$ * warning$ }
+    'output.nonnull
+  if$
+}
+
+FUNCTION {fin.entry}
+{ add.period$
+  write$
+  newline$
+}
+
+FUNCTION {new.block}
+{ output.state before.all =
+    'skip$
+    { after.block 'output.state := }
+  if$
+}
+
+FUNCTION {new.sentence}
+{ output.state after.block =
+    'skip$
+    { output.state before.all =
+        'skip$
+        { after.sentence 'output.state := }
+      if$
+    }
+  if$
+}
+
+FUNCTION {not}
+{   { #0 }
+    { #1 }
+  if$
+}
+
+FUNCTION {and}
+{   'skip$
+    { pop$ #0 }
+  if$
+}
+
+FUNCTION {or}
+{   { pop$ #1 }
+    'skip$
+  if$
+}
+
+FUNCTION {new.block.checka}
+{ empty$
+    'skip$
+    'new.block
+  if$
+}
+
+FUNCTION {new.block.checkb}
+{ empty$
+  swap$ empty$
+  and
+    'skip$
+    'new.block
+  if$
+}
+
+FUNCTION {new.sentence.checka}
+{ empty$
+    'skip$
+    'new.sentence
+  if$
+}
+
+FUNCTION {new.sentence.checkb}
+{ empty$
+  swap$ empty$
+  and
+    'skip$
+    'new.sentence
+  if$
+}
+
+FUNCTION {field.or.null}
+{ duplicate$ empty$
+    { pop$ "" }
+    'skip$
+  if$
+}
+
+FUNCTION {emphasize}
+{ duplicate$ empty$
+    { pop$ "" }
+    { "\emph{" swap$ * "}" * }
+  if$
+}
+
+INTEGERS { nameptr namesleft numnames }
+
+FUNCTION {format.names}
+{ 's :=
+  #1 'nameptr :=
+  s num.names$ 'numnames :=
+  numnames 'namesleft :=
+    { namesleft #0 > }
+    { s nameptr "{f.~}{vv~}{ll}{, jj}" format.name$ 't :=
+      nameptr #1 >
+        { namesleft #1 >
+            { ", " * t * }
+            { numnames #2 >
+                { "," * }
+                'skip$
+              if$
+              t "others" =
+                { " et~al." * }
+                { " and " * t * }
+              if$
+            }
+          if$
+        }
+        't
+      if$
+      nameptr #1 + 'nameptr :=
+      namesleft #1 - 'namesleft :=
+    }
+  while$
+}
+
+FUNCTION {format.key}
+{ empty$
+    { key field.or.null }
+    { "" }
+  if$
+}
+
+FUNCTION {format.authors}
+{ author empty$
+    { "" }
+    { author format.names }
+  if$
+}
+
+FUNCTION {format.editors}
+{ editor empty$
+    { "" }
+    { editor format.names
+      editor num.names$ #1 >
+        { ", editors" * }
+        { ", editor" * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.isbn}
+{ isbn empty$
+    { "" }
+    { new.block "ISBN " isbn * }
+  if$
+}
+
+FUNCTION {format.issn}
+{ issn empty$
+    { "" }
+    { new.block "ISSN " issn * }
+  if$
+}
+
+FUNCTION {format.url}
+{ url empty$
+    { "" }
+    { new.block "URL \url{" url * "}" * }
+  if$
+}
+
+FUNCTION {format.doi}
+{ doi empty$
+    { "" }
+    { new.block "\doi{" doi * "}" * }
+  if$
+}
+
+FUNCTION {format.title}
+{ title empty$
+    { "" }
+    { title "t" change.case$ }
+  if$
+}
+
+FUNCTION {format.full.names}
+{'s :=
+  #1 'nameptr :=
+  s num.names$ 'numnames :=
+  numnames 'namesleft :=
+    { namesleft #0 > }
+    { s nameptr
+      "{vv~}{ll}" format.name$ 't :=
+      nameptr #1 >
+        {
+          namesleft #1 >
+            { ", " * t * }
+            {
+              numnames #2 >
+                { "," * }
+                'skip$
+              if$
+              t "others" =
+                { " et~al." * }
+                { " and " * t * }
+              if$
+            }
+          if$
+        }
+        't
+      if$
+      nameptr #1 + 'nameptr :=
+      namesleft #1 - 'namesleft :=
+    }
+  while$
+}
+
+FUNCTION {author.editor.full}
+{ author empty$
+    { editor empty$
+        { "" }
+        { editor format.full.names }
+      if$
+    }
+    { author format.full.names }
+  if$
+}
+
+FUNCTION {author.full}
+{ author empty$
+    { "" }
+    { author format.full.names }
+  if$
+}
+
+FUNCTION {editor.full}
+{ editor empty$
+    { "" }
+    { editor format.full.names }
+  if$
+}
+
+FUNCTION {make.full.names}
+{ type$ "book" =
+  type$ "inbook" =
+  or
+    'author.editor.full
+    { type$ "proceedings" =
+        'editor.full
+        'author.full
+      if$
+    }
+  if$
+}
+
+FUNCTION {output.bibitem}
+{ newline$
+  "\bibitem[" write$
+  label write$
+  ")" make.full.names duplicate$ short.list =
+     { pop$ }
+     { * }
+   if$
+  "]{" * write$
+  cite$ write$
+  "}" write$
+  newline$
+  ""
+  before.all 'output.state :=
+}
+
+FUNCTION {n.dashify}
+{ 't :=
+  ""
+    { t empty$ not }
+    { t #1 #1 substring$ "-" =
+        { t #1 #2 substring$ "--" = not
+            { "--" *
+              t #2 global.max$ substring$ 't :=
+            }
+            {   { t #1 #1 substring$ "-" = }
+                { "-" *
+                  t #2 global.max$ substring$ 't :=
+                }
+              while$
+            }
+          if$
+        }
+        { t #1 #1 substring$ *
+          t #2 global.max$ substring$ 't :=
+        }
+      if$
+    }
+  while$
+}
+
+FUNCTION {format.date}
+{ year duplicate$ empty$
+    { "empty year in " cite$ * warning$
+       pop$ "" }
+    'skip$
+  if$
+  month empty$
+    'skip$
+    { month
+      " " * swap$ *
+    }
+  if$
+  extra.label *
+}
+
+FUNCTION {format.btitle}
+{ title emphasize
+}
+
+FUNCTION {tie.or.space.connect}
+{ duplicate$ text.length$ #3 <
+    { "~" }
+    { " " }
+  if$
+  swap$ * *
+}
+
+FUNCTION {either.or.check}
+{ empty$
+    'pop$
+    { "can't use both " swap$ * " fields in " * cite$ * warning$ }
+  if$
+}
+
+FUNCTION {format.bvolume}
+{ volume empty$
+    { "" }
+    { "volume" volume tie.or.space.connect
+      series empty$
+        'skip$
+        { " of " * series emphasize * }
+      if$
+      "volume and number" number either.or.check
+    }
+  if$
+}
+
+FUNCTION {format.number.series}
+{ volume empty$
+    { number empty$
+        { series field.or.null }
+        { output.state mid.sentence =
+            { "number" }
+            { "Number" }
+          if$
+          number tie.or.space.connect
+          series empty$
+            { "there's a number but no series in " cite$ * warning$ }
+            { " in " * series * }
+          if$
+        }
+      if$
+    }
+    { "" }
+  if$
+}
+
+FUNCTION {format.edition}
+{ edition empty$
+    { "" }
+    { output.state mid.sentence =
+        { edition "l" change.case$ " edition" * }
+        { edition "t" change.case$ " edition" * }
+      if$
+    }
+  if$
+}
+
+INTEGERS { multiresult }
+
+FUNCTION {multi.page.check}
+{ 't :=
+  #0 'multiresult :=
+    { multiresult not
+      t empty$ not
+      and
+    }
+    { t #1 #1 substring$
+      duplicate$ "-" =
+      swap$ duplicate$ "," =
+      swap$ "+" =
+      or or
+        { #1 'multiresult := }
+        { t #2 global.max$ substring$ 't := }
+      if$
+    }
+  while$
+  multiresult
+}
+
+FUNCTION {format.pages}
+{ pages empty$
+    { "" }
+    { pages multi.page.check
+        { "pages" pages n.dashify tie.or.space.connect }
+        { "page" pages tie.or.space.connect }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.eid}
+{ eid empty$
+    { "" }
+    { "art." eid tie.or.space.connect }
+  if$
+}
+
+FUNCTION {format.vol.num.pages}
+{ volume field.or.null
+  number empty$
+    'skip$
+    { "\penalty0 (" number * ")" * *
+      volume empty$
+        { "there's a number but no volume in " cite$ * warning$ }
+        'skip$
+      if$
+    }
+  if$
+  pages empty$
+    'skip$
+    { duplicate$ empty$
+        { pop$ format.pages }
+        { ":\penalty0 " * pages n.dashify * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.vol.num.eid}
+{ volume field.or.null
+  number empty$
+    'skip$
+    { "\penalty0 (" number * ")" * *
+      volume empty$
+        { "there's a number but no volume in " cite$ * warning$ }
+        'skip$
+      if$
+    }
+  if$
+  eid empty$
+    'skip$
+    { duplicate$ empty$
+        { pop$ format.eid }
+        { ":\penalty0 " * eid * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.chapter.pages}
+{ chapter empty$
+    'format.pages
+    { type empty$
+        { "chapter" }
+        { type "l" change.case$ }
+      if$
+      chapter tie.or.space.connect
+      pages empty$
+        'skip$
+        { ", " * format.pages * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.in.ed.booktitle}
+{ booktitle empty$
+    { "" }
+    { editor empty$
+        { "In " booktitle emphasize * }
+        { "In " format.editors * ", " * booktitle emphasize * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {empty.misc.check}
+{ author empty$ title empty$ howpublished empty$
+  month empty$ year empty$ note empty$
+  and and and and and
+  key empty$ not and
+    { "all relevant fields are empty in " cite$ * warning$ }
+    'skip$
+  if$
+}
+
+FUNCTION {format.thesis.type}
+{ type empty$
+    'skip$
+    { pop$
+      type "t" change.case$
+    }
+  if$
+}
+
+FUNCTION {format.tr.number}
+{ type empty$
+    { "Technical Report" }
+    'type
+  if$
+  number empty$
+    { "t" change.case$ }
+    { number tie.or.space.connect }
+  if$
+}
+
+FUNCTION {format.article.crossref}
+{ key empty$
+    { journal empty$
+        { "need key or journal for " cite$ * " to crossref " * crossref *
+          warning$
+          ""
+        }
+        { "In \emph{" journal * "}" * }
+      if$
+    }
+    { "In " }
+  if$
+  " \citet{" * crossref * "}" *
+}
+
+FUNCTION {format.book.crossref}
+{ volume empty$
+    { "empty volume in " cite$ * "'s crossref of " * crossref * warning$
+      "In "
+    }
+    { "Volume" volume tie.or.space.connect
+      " of " *
+    }
+  if$
+  editor empty$
+  editor field.or.null author field.or.null =
+  or
+    { key empty$
+        { series empty$
+            { "need editor, key, or series for " cite$ * " to crossref " *
+              crossref * warning$
+              "" *
+            }
+            { "\emph{" * series * "}" * }
+          if$
+        }
+        'skip$
+      if$
+    }
+    'skip$
+  if$
+  " \citet{" * crossref * "}" *
+}
+
+FUNCTION {format.incoll.inproc.crossref}
+{ editor empty$
+  editor field.or.null author field.or.null =
+  or
+    { key empty$
+        { booktitle empty$
+            { "need editor, key, or booktitle for " cite$ * " to crossref " *
+              crossref * warning$
+              ""
+            }
+            { "In \emph{" booktitle * "}" * }
+          if$
+        }
+        { "In " }
+      if$
+    }
+    { "In " }
+  if$
+  " \citet{" * crossref * "}" *
+}
+
+FUNCTION {article}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    { journal emphasize "journal" output.check
+      eid empty$
+        { format.vol.num.pages output }
+        { format.vol.num.eid output }
+      if$
+      format.date "year" output.check
+    }
+    { format.article.crossref output.nonnull
+      eid empty$
+        { format.pages output }
+        { format.eid output }
+      if$
+    }
+  if$
+  format.issn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {book}
+{ output.bibitem
+  author empty$
+    { format.editors "author and editor" output.check
+      editor format.key output
+    }
+    { format.authors output.nonnull
+      crossref missing$
+        { "author and editor" editor either.or.check }
+        'skip$
+      if$
+    }
+  if$
+  new.block
+  format.btitle "title" output.check
+  crossref missing$
+    { format.bvolume output
+      new.block
+      format.number.series output
+      new.sentence
+      publisher "publisher" output.check
+      address output
+    }
+    { new.block
+      format.book.crossref output.nonnull
+    }
+  if$
+  format.edition output
+  format.date "year" output.check
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {booklet}
+{ output.bibitem
+  format.authors output
+  author format.key output
+  new.block
+  format.title "title" output.check
+  howpublished address new.block.checkb
+  howpublished output
+  address output
+  format.date output
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {inbook}
+{ output.bibitem
+  author empty$
+    { format.editors "author and editor" output.check
+      editor format.key output
+    }
+    { format.authors output.nonnull
+      crossref missing$
+        { "author and editor" editor either.or.check }
+        'skip$
+      if$
+    }
+  if$
+  new.block
+  format.btitle "title" output.check
+  crossref missing$
+    { format.bvolume output
+      format.chapter.pages "chapter and pages" output.check
+      new.block
+      format.number.series output
+      new.sentence
+      publisher "publisher" output.check
+      address output
+    }
+    { format.chapter.pages "chapter and pages" output.check
+      new.block
+      format.book.crossref output.nonnull
+    }
+  if$
+  format.edition output
+  format.date "year" output.check
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {incollection}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    { format.in.ed.booktitle "booktitle" output.check
+      format.bvolume output
+      format.number.series output
+      format.chapter.pages output
+      new.sentence
+      publisher "publisher" output.check
+      address output
+      format.edition output
+      format.date "year" output.check
+    }
+    { format.incoll.inproc.crossref output.nonnull
+      format.chapter.pages output
+    }
+  if$
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {inproceedings}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    { format.in.ed.booktitle "booktitle" output.check
+      format.bvolume output
+      format.number.series output
+      format.pages output
+      address empty$
+        { organization publisher new.sentence.checkb
+          organization output
+          publisher output
+          format.date "year" output.check
+        }
+        { address output.nonnull
+          format.date "year" output.check
+          new.sentence
+          organization output
+          publisher output
+        }
+      if$
+    }
+    { format.incoll.inproc.crossref output.nonnull
+      format.pages output
+    }
+  if$
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {conference} { inproceedings }
+
+FUNCTION {manual}
+{ output.bibitem
+  format.authors output
+  author format.key output
+  new.block
+  format.btitle "title" output.check
+  organization address new.block.checkb
+  organization output
+  address output
+  format.edition output
+  format.date output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {mastersthesis}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  "Master's thesis" format.thesis.type output.nonnull
+  school "school" output.check
+  address output
+  format.date "year" output.check
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {misc}
+{ output.bibitem
+  format.authors output
+  author format.key output
+  title howpublished new.block.checkb
+  format.title output
+  howpublished new.block.checka
+  howpublished output
+  format.date output
+  format.issn output
+  format.url output
+  new.block
+  note output
+  fin.entry
+  empty.misc.check
+}
+
+FUNCTION {phdthesis}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.btitle "title" output.check
+  new.block
+  "PhD thesis" format.thesis.type output.nonnull
+  school "school" output.check
+  address output
+  format.date "year" output.check
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {proceedings}
+{ output.bibitem
+  format.editors output
+  editor format.key output
+  new.block
+  format.btitle "title" output.check
+  format.bvolume output
+  format.number.series output
+  address output
+  format.date "year" output.check
+  new.sentence
+  organization output
+  publisher output
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {techreport}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  format.tr.number output.nonnull
+  institution "institution" output.check
+  address output
+  format.date "year" output.check
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {unpublished}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  note "note" output.check
+  format.date output
+  format.url output
+  fin.entry
+}
+
+FUNCTION {default.type} { misc }
+
+
+MACRO {jan} {"Jan."}
+
+MACRO {feb} {"Feb."}
+
+MACRO {mar} {"Mar."}
+
+MACRO {apr} {"Apr."}
+
+MACRO {may} {"May"}
+
+MACRO {jun} {"June"}
+
+MACRO {jul} {"July"}
+
+MACRO {aug} {"Aug."}
+
+MACRO {sep} {"Sept."}
+
+MACRO {oct} {"Oct."}
+
+MACRO {nov} {"Nov."}
+
+MACRO {dec} {"Dec."}
+
+
+
+MACRO {acmcs} {"ACM Comput. Surv."}
+
+MACRO {acta} {"Acta Inf."}
+
+MACRO {cacm} {"Commun. ACM"}
+
+MACRO {ibmjrd} {"IBM J. Res. Dev."}
+
+MACRO {ibmsj} {"IBM Syst.~J."}
+
+MACRO {ieeese} {"IEEE Trans. Softw. Eng."}
+
+MACRO {ieeetc} {"IEEE Trans. Comput."}
+
+MACRO {ieeetcad}
+ {"IEEE Trans. Comput.-Aided Design Integrated Circuits"}
+
+MACRO {ipl} {"Inf. Process. Lett."}
+
+MACRO {jacm} {"J.~ACM"}
+
+MACRO {jcss} {"J.~Comput. Syst. Sci."}
+
+MACRO {scp} {"Sci. Comput. Programming"}
+
+MACRO {sicomp} {"SIAM J. Comput."}
+
+MACRO {tocs} {"ACM Trans. Comput. Syst."}
+
+MACRO {tods} {"ACM Trans. Database Syst."}
+
+MACRO {tog} {"ACM Trans. Gr."}
+
+MACRO {toms} {"ACM Trans. Math. Softw."}
+
+MACRO {toois} {"ACM Trans. Office Inf. Syst."}
+
+MACRO {toplas} {"ACM Trans. Prog. Lang. Syst."}
+
+MACRO {tcs} {"Theoretical Comput. Sci."}
+
+
+READ
+
+FUNCTION {sortify}
+{ purify$
+  "l" change.case$
+}
+
+INTEGERS { len }
+
+FUNCTION {chop.word}
+{ 's :=
+  'len :=
+  s #1 len substring$ =
+    { s len #1 + global.max$ substring$ }
+    's
+  if$
+}
+
+FUNCTION {format.lab.names}
+{ 's :=
+  s #1 "{vv~}{ll}" format.name$
+  s num.names$ duplicate$
+  #2 >
+    { pop$ " et~al." * }
+    { #2 <
+        'skip$
+        { s #2 "{ff }{vv }{ll}{ jj}" format.name$ "others" =
+            { " et~al." * }
+            { " and " * s #2 "{vv~}{ll}" format.name$ * }
+          if$
+        }
+      if$
+    }
+  if$
+}
+
+FUNCTION {author.key.label}
+{ author empty$
+    { key empty$
+        { cite$ #1 #3 substring$ }
+        'key
+      if$
+    }
+    { author format.lab.names }
+  if$
+}
+
+FUNCTION {author.editor.key.label}
+{ author empty$
+    { editor empty$
+        { key empty$
+            { cite$ #1 #3 substring$ }
+            'key
+          if$
+        }
+        { editor format.lab.names }
+      if$
+    }
+    { author format.lab.names }
+  if$
+}
+
+FUNCTION {author.key.organization.label}
+{ author empty$
+    { key empty$
+        { organization empty$
+            { cite$ #1 #3 substring$ }
+            { "The " #4 organization chop.word #3 text.prefix$ }
+          if$
+        }
+        'key
+      if$
+    }
+    { author format.lab.names }
+  if$
+}
+
+FUNCTION {editor.key.organization.label}
+{ editor empty$
+    { key empty$
+        { organization empty$
+            { cite$ #1 #3 substring$ }
+            { "The " #4 organization chop.word #3 text.prefix$ }
+          if$
+        }
+        'key
+      if$
+    }
+    { editor format.lab.names }
+  if$
+}
+
+FUNCTION {calc.short.authors}
+{ type$ "book" =
+  type$ "inbook" =
+  or
+    'author.editor.key.label
+    { type$ "proceedings" =
+        'editor.key.organization.label
+        { type$ "manual" =
+            'author.key.organization.label
+            'author.key.label
+          if$
+        }
+      if$
+    }
+  if$
+  'short.list :=
+}
+
+FUNCTION {calc.label}
+{ calc.short.authors
+  short.list
+  "("
+  *
+  year duplicate$ empty$
+  short.list key field.or.null = or
+     { pop$ "" }
+     'skip$
+  if$
+  *
+  'label :=
+}
+
+FUNCTION {sort.format.names}
+{ 's :=
+  #1 'nameptr :=
+  ""
+  s num.names$ 'numnames :=
+  numnames 'namesleft :=
+    { namesleft #0 > }
+    {
+      s nameptr "{vv{ } }{ll{ }}{  f{ }}{  jj{ }}" format.name$ 't :=
+      nameptr #1 >
+        {
+          "   "  *
+          namesleft #1 = t "others" = and
+            { "zzzzz" * }
+            { numnames #2 > nameptr #2 = and
+                { "zz" * year field.or.null * "   " * }
+                'skip$
+              if$
+              t sortify *
+            }
+          if$
+        }
+        { t sortify * }
+      if$
+      nameptr #1 + 'nameptr :=
+      namesleft #1 - 'namesleft :=
+    }
+  while$
+}
+
+FUNCTION {sort.format.title}
+{ 't :=
+  "A " #2
+    "An " #3
+      "The " #4 t chop.word
+    chop.word
+  chop.word
+  sortify
+  #1 global.max$ substring$
+}
+
+FUNCTION {author.sort}
+{ author empty$
+    { key empty$
+        { "to sort, need author or key in " cite$ * warning$
+          ""
+        }
+        { key sortify }
+      if$
+    }
+    { author sort.format.names }
+  if$
+}
+
+FUNCTION {author.editor.sort}
+{ author empty$
+    { editor empty$
+        { key empty$
+            { "to sort, need author, editor, or key in " cite$ * warning$
+              ""
+            }
+            { key sortify }
+          if$
+        }
+        { editor sort.format.names }
+      if$
+    }
+    { author sort.format.names }
+  if$
+}
+
+FUNCTION {author.organization.sort}
+{ author empty$
+    { organization empty$
+        { key empty$
+            { "to sort, need author, organization, or key in " cite$ * warning$
+              ""
+            }
+            { key sortify }
+          if$
+        }
+        { "The " #4 organization chop.word sortify }
+      if$
+    }
+    { author sort.format.names }
+  if$
+}
+
+FUNCTION {editor.organization.sort}
+{ editor empty$
+    { organization empty$
+        { key empty$
+            { "to sort, need editor, organization, or key in " cite$ * warning$
+              ""
+            }
+            { key sortify }
+          if$
+        }
+        { "The " #4 organization chop.word sortify }
+      if$
+    }
+    { editor sort.format.names }
+  if$
+}
+
+
+FUNCTION {presort}
+{ calc.label
+  label sortify
+  "    "
+  *
+  type$ "book" =
+  type$ "inbook" =
+  or
+    'author.editor.sort
+    { type$ "proceedings" =
+        'editor.organization.sort
+        { type$ "manual" =
+            'author.organization.sort
+            'author.sort
+          if$
+        }
+      if$
+    }
+  if$
+  "    "
+  *
+  year field.or.null sortify
+  *
+  "    "
+  *
+  cite$
+  *
+  #1 entry.max$ substring$
+  'sort.label :=
+  sort.label *
+  #1 entry.max$ substring$
+  'sort.key$ :=
+}
+
+ITERATE {presort}
+
+SORT
+
+STRINGS { longest.label last.label next.extra }
+
+INTEGERS { longest.label.width last.extra.num number.label }
+
+FUNCTION {initialize.longest.label}
+{ "" 'longest.label :=
+  #0 int.to.chr$ 'last.label :=
+  "" 'next.extra :=
+  #0 'longest.label.width :=
+  #0 'last.extra.num :=
+  #0 'number.label :=
+}
+
+FUNCTION {forward.pass}
+{ last.label label =
+    { last.extra.num #1 + 'last.extra.num :=
+      last.extra.num int.to.chr$ 'extra.label :=
+    }
+    { "a" chr.to.int$ 'last.extra.num :=
+      "" 'extra.label :=
+      label 'last.label :=
+    }
+  if$
+  number.label #1 + 'number.label :=
+}
+
+FUNCTION {reverse.pass}
+{ next.extra "b" =
+    { "a" 'extra.label := }
+    'skip$
+  if$
+  extra.label 'next.extra :=
+  extra.label
+  duplicate$ empty$
+    'skip$
+    { "{\natexlab{" swap$ * "}}" * }
+  if$
+  'extra.label :=
+  label extra.label * 'label :=
+}
+
+EXECUTE {initialize.longest.label}
+
+ITERATE {forward.pass}
+
+REVERSE {reverse.pass}
+
+FUNCTION {bib.sort.order}
+{ sort.label  'sort.key$ :=
+}
+
+ITERATE {bib.sort.order}
+
+SORT
+
+FUNCTION {begin.bib}
+{   preamble$ empty$
+    'skip$
+    { preamble$ write$ newline$ }
+  if$
+  "\begin{thebibliography}{" number.label int.to.str$ * "}" *
+  write$ newline$
+  "\providecommand{\natexlab}[1]{#1}"
+  write$ newline$
+  "\providecommand{\url}[1]{\texttt{#1}}"
+  write$ newline$
+  "\expandafter\ifx\csname urlstyle\endcsname\relax"
+  write$ newline$
+  "  \providecommand{\doi}[1]{doi: #1}\else"
+  write$ newline$
+  "  \providecommand{\doi}{doi: \begingroup \urlstyle{rm}\Url}\fi"
+  write$ newline$
+}
+
+EXECUTE {begin.bib}
+
+EXECUTE {init.state.consts}
+
+ITERATE {call.type$}
+
+FUNCTION {end.bib}
+{ newline$
+  "\end{thebibliography}" write$ newline$
+}
+
+EXECUTE {end.bib}
diff --git a/abstract.txt b/abstract.txt
new file mode 100644
index 0000000..9078926
--- /dev/null
+++ b/abstract.txt
@@ -0,0 +1,28 @@
+In the classical experimental design setting, an experimenter E has access to
+a population of n potential experiment subjects each associated
+with a vector of features x_i. Conducting an experiment with subject i
+reveals an unknown value y_i E. E typically assumes some hypothetical
+relationship between x_i and y_i, e.g., y_i = β*x_i, and estimates β from
+experiments, e.g., through linear regression. As a proxy for various practical
+constraints, E may select only a subset of subjects on which to conduct the
+experiment.
+
+We initiate the study of budgeted mechanisms for experimental design. In
+this setting, E has a budget B. Each subject i declares an associated cost
+c_i to be part of the experiment, and must be paid at least her cost. In
+particular, the Experimental Design Problem (EDP) is to find a set S of subjects
+for the experiment that maximizes V(S) = log det(I_d + \sum_{i\in S} x_i x_i^T )
+under the constraint \sum_{i\in S} c_i ≤ B; our objective function corresponds to the information
+gain in parameter β that is learned through linear regression methods, and
+is related to the so-called D-optimality criterion. Further, the subjects are
+strategic and may lie about their costs. Thus, we need to design a mechanism
+for EDP with suitable properties.
+
+We present a deterministic, polynomial time, budget feasible mechanism
+scheme, that is approximately truthful and yields a constant (= 12.98) factor
+approximation to EDP. By applying previous work on budget feasible mechanisms
+with a submodular objective, one could only have derived either an
+exponential time deterministic mechanism or a randomized polynomial time
+mechanism. We also establish that no truthful, budget-feasible mechanism is
+possible within a factor 2 approximation, and show how to generalize our approach
+to a wide class of learning problems, beyond linear regression.
diff --git a/abstract_latin.tex b/abstract_latin.tex
new file mode 100644
index 0000000..04ec9fe
--- /dev/null
+++ b/abstract_latin.tex
@@ -0,0 +1,27 @@
+\documentclass{llncs}
+\usepackage[numbers]{natbib}
+\usepackage[utf8]{inputenc}
+\usepackage{amsmath,amsfonts}
+\usepackage{algorithm, algpseudocode}
+\usepackage{bbm,color,verbatim}
+\input{definitions}
+\usepackage[pagebackref=true,breaklinks=true,colorlinks=true]{hyperref}
+\title{Budget Feasible Mechanisms\\ for Experimental Design}
+\author{
+    Thibaut Horel\inst{1}
+    \and
+    Stratis Ioannidis\inst{2}
+    \and
+    S. Muthukrishnan\inst{3}
+}
+\institute{Harvard University, \email{thibaut.horel@normalesup.org}
+    \and
+    Technicolor, \email{stratis.ioannidis@technicolor.com}
+    \and
+    Rutgers University, \email{muthu@cs.rutgers.edu}
+}
+\begin{document}
+\maketitle
+\vspace{2em}
+\input{abstract}
+\end{document}
diff --git a/approximation.tex b/approximation.tex
index 4978279..3e3f482 100755
--- a/approximation.tex
+++ b/approximation.tex
@@ -47,7 +47,7 @@ expectation of $V$ under the  distribution $P_\mathcal{N}^\lambda$:
     F(\lambda) 
     \defeq \mathbb{E}_{S\sim P_\mathcal{N}^\lambda}\big[V(S)\big]
   %  = \sum_{S\subseteq\mathcal{N}} P_\mathcal{N}^\lambda(S) V(S)
-= \mathbb{E}_{S\sim P_\mathcal{N}^\lambda}\left[ \log\det\left( I_d + \sum_{i\in S} x_i\T{x_i}\right) \right],\qquad \lambda\in[0,1]^n.
+= \mathbb{E}_{S\sim P_\mathcal{N}^\lambda}\left[ \log\det\left( I_d + \sum_{i\in S} x_i\T{x_i}\right) \right],\quad \lambda\in[0,1]^n.
 \end{equation}
 Function $F$ is an extension of $V$ to the domain  $[0,1]^n$, as it equals $V$ on integer inputs: $F(\id_S) = V(S)$ for all
 $S\subseteq\mathcal{N}$, where $\id_S$ denotes the indicator vector of $S$. %\citeN{pipage} have shown how to use this extension to obtain approximation guarantees for an interesting class of optimization problems through the \emph{pipage rounding} framework, which has been successfully applied in \citeN{chen, singer-influence}. 
@@ -55,9 +55,12 @@ Contrary to problems such as \textsc{Knapsack}, the
 multi-linear extension \eqref{eq:multi-linear} cannot be optimized in
 polynomial time for  the value function $V$  we study here, given by \eqref{modified}. Hence, we introduce an extension $L:[0,1]^n\to\reals$ s.t.~
 \begin{equation}\label{eq:our-relaxation}
-\quad L(\lambda) \defeq
-\log\det\left(I_d + \sum_{i\in\mathcal{N}} \lambda_i x_i\T{x_i}\right)=
-\log\det\left(\mathbb{E}_{S\sim P_\mathcal{N}^\lambda}\bigg[I_d + \sum_{i\in S} x_i\T{x_i} \bigg]\right), \qquad \lambda\in[0,1]^n.
+    \begin{split}
+        L(\lambda) &\defeq
+\log\det\left(I_d + \sum_{i\in\mathcal{N}} \lambda_i x_i\T{x_i}\right)\\
+&= \log\det\left(\mathbb{E}_{S\sim P_\mathcal{N}^\lambda}\bigg[I_d + \sum_{i\in S} x_i\T{x_i} \bigg]\right),
+\quad \lambda\in[0,1]^n.
+\end{split}
 \end{equation}
 Note that $L$ also extends $V$, and follows naturally from the multi-linear extension by swapping the
 expectation and $\log \det$ in \eqref{eq:multi-linear}. Crucially, it is \emph{strictly concave} on $[0,1]^n$, a fact that  we exploit in the next section to maximize $L$ subject to the budget constraint in polynomial time.
diff --git a/definitions.tex b/definitions.tex
index 7d30dcd..236c368 100755
--- a/definitions.tex
+++ b/definitions.tex
@@ -1,14 +1,14 @@
 \newcommand{\mutual}{\ensuremath{{I}}}
 \newcommand{\entropy}{\ensuremath{{H}}}
-\newtheorem{lemma}{Lemma}
-\newtheorem{proposition}{Proposition}
-\newtheorem{fact}{Fact}
-\newtheorem{example}{Example}
-\newtheorem{prop}{Proposition}
-\newtheorem{theorem}{Theorem}
-\newtheorem{corollary}{Corollary}
-\theoremstyle{definition}
-\newtheorem{definition}{Definition}
+%\newtheorem{lemma}{Lemma}
+%\newtheorem{proposition}{Proposition}
+%\newtheorem{fact}{Fact}
+%\newtheorem{example}{Example}
+%\newtheorem{prop}{Proposition}
+%\newtheorem{theorem}{Theorem}
+%\newtheorem{corollary}{Corollary}
+%\theoremstyle{definition}
+%\newtheorem{definition}{Definition}
 \newcommand{\citeN}{\citet}
 %\newcommand*{\defeq}{\stackrel{\text{def}}{=}}
 \newcommand*{\defeq}{\equiv}
@@ -36,7 +36,8 @@
 \newcommand{\junk}[1]{}
 \newcommand{\edp}{{\tt EDP}}
 \newcommand{\dom}{\mathcal{D}}
-\newcommand{\note}[1]{\textcolor{red}{#1}}
+\newcommand{\qedhere}{\qed}
+%\newcommand{\note}[1]{\textcolor{red}{#1}}
 
 \algrenewcommand\algorithmicrequire{\textbf{Input:}}
 \algrenewcommand\algorithmicensure{\textbf{Output:}}
diff --git a/intro.tex b/intro.tex
index 1d07f48..2519ac4 100755
--- a/intro.tex
+++ b/intro.tex
@@ -42,7 +42,7 @@ We present a polynomial time mechanism scheme for \SEDP{} that is approximately
 In contrast to this, we show that no truthful, budget-feasible mechanisms are possible for \SEDP{}  within a factor 2 approximation. 
 
 \smallskip
-We note that the objective \eqref{obj} is submodular. Using this fact, applying previous results on budget feasible mechanism design under general submodular objectives~\cite{singer-mechanisms,chen} would yield either a deterministic, truthful, constant-approximation mechanism that requires exponential time,  or a non-deterministic, (universally) truthful, poly-time mechanism that yields a constant approximation ratio only \emph{in expectation} (\emph{i.e.}, its approximation guarantee for a given instance may in fact be unbounded).
+We note that the objective \eqref{obj} is submodular. Using this fact, applying previous results on budget feasible mechanism design under general submodular objectives~\cite{singer-mechanisms,chen} would yield either a deterministic, truthful, constant-approximation mechanism that requires exponential time,  or a non-determi\-nis\-tic, (universally) truthful, poly-time mechanism that yields a constant approximation ratio only \emph{in expectation} (\emph{i.e.}, its approximation guarantee for a given instance may in fact be unbounded).
 \end{itemize}
 
 
diff --git a/llncs.cls b/llncs.cls
new file mode 100644
index 0000000..1d49f3d
--- /dev/null
+++ b/llncs.cls
@@ -0,0 +1,1207 @@
+% LLNCS DOCUMENT CLASS -- version 2.17 (12-Jul-2010)

+% Springer Verlag LaTeX2e support for Lecture Notes in Computer Science

+%

+%%

+%% \CharacterTable

+%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z

+%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z

+%%   Digits        \0\1\2\3\4\5\6\7\8\9

+%%   Exclamation   \!     Double quote  \"     Hash (number) \#

+%%   Dollar        \$     Percent       \%     Ampersand     \&

+%%   Acute accent  \'     Left paren    \(     Right paren   \)

+%%   Asterisk      \*     Plus          \+     Comma         \,

+%%   Minus         \-     Point         \.     Solidus       \/

+%%   Colon         \:     Semicolon     \;     Less than     \<

+%%   Equals        \=     Greater than  \>     Question mark \?

+%%   Commercial at \@     Left bracket  \[     Backslash     \\

+%%   Right bracket \]     Circumflex    \^     Underscore    \_

+%%   Grave accent  \`     Left brace    \{     Vertical bar  \|

+%%   Right brace   \}     Tilde         \~}

+%%

+\NeedsTeXFormat{LaTeX2e}[1995/12/01]

+\ProvidesClass{llncs}[2010/07/12 v2.17

+^^J LaTeX document class for Lecture Notes in Computer Science]

+% Options

+\let\if@envcntreset\iffalse

+\DeclareOption{envcountreset}{\let\if@envcntreset\iftrue}

+\DeclareOption{citeauthoryear}{\let\citeauthoryear=Y}

+\DeclareOption{oribibl}{\let\oribibl=Y}

+\let\if@custvec\iftrue

+\DeclareOption{orivec}{\let\if@custvec\iffalse}

+\let\if@envcntsame\iffalse

+\DeclareOption{envcountsame}{\let\if@envcntsame\iftrue}

+\let\if@envcntsect\iffalse

+\DeclareOption{envcountsect}{\let\if@envcntsect\iftrue}

+\let\if@runhead\iffalse

+\DeclareOption{runningheads}{\let\if@runhead\iftrue}

+

+\let\if@openright\iftrue

+\let\if@openbib\iffalse

+\DeclareOption{openbib}{\let\if@openbib\iftrue}

+

+% languages

+\let\switcht@@therlang\relax

+\def\ds@deutsch{\def\switcht@@therlang{\switcht@deutsch}}

+\def\ds@francais{\def\switcht@@therlang{\switcht@francais}}

+

+\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}

+

+\ProcessOptions

+

+\LoadClass[twoside]{article}

+\RequirePackage{multicol} % needed for the list of participants, index

+\RequirePackage{aliascnt}

+

+\setlength{\textwidth}{12.2cm}

+\setlength{\textheight}{19.3cm}

+\renewcommand\@pnumwidth{2em}

+\renewcommand\@tocrmarg{3.5em}

+%

+\def\@dottedtocline#1#2#3#4#5{%

+  \ifnum #1>\c@tocdepth \else

+    \vskip \z@ \@plus.2\p@

+    {\leftskip #2\relax \rightskip \@tocrmarg \advance\rightskip by 0pt plus 2cm

+               \parfillskip -\rightskip \pretolerance=10000

+     \parindent #2\relax\@afterindenttrue

+     \interlinepenalty\@M

+     \leavevmode

+     \@tempdima #3\relax

+     \advance\leftskip \@tempdima \null\nobreak\hskip -\leftskip

+     {#4}\nobreak

+     \leaders\hbox{$\m@th

+        \mkern \@dotsep mu\hbox{.}\mkern \@dotsep

+        mu$}\hfill

+     \nobreak

+     \hb@xt@\@pnumwidth{\hfil\normalfont \normalcolor #5}%

+     \par}%

+  \fi}

+%

+\def\switcht@albion{%

+\def\abstractname{Abstract.}

+\def\ackname{Acknowledgement.}

+\def\andname{and}

+\def\lastandname{\unskip, and}

+\def\appendixname{Appendix}

+\def\chaptername{Chapter}

+\def\claimname{Claim}

+\def\conjecturename{Conjecture}

+\def\contentsname{Table of Contents}

+\def\corollaryname{Corollary}

+\def\definitionname{Definition}

+\def\examplename{Example}

+\def\exercisename{Exercise}

+\def\figurename{Fig.}

+\def\keywordname{{\bf Keywords:}}

+\def\indexname{Index}

+\def\lemmaname{Lemma}

+\def\contriblistname{List of Contributors}

+\def\listfigurename{List of Figures}

+\def\listtablename{List of Tables}

+\def\mailname{{\it Correspondence to\/}:}

+\def\noteaddname{Note added in proof}

+\def\notename{Note}

+\def\partname{Part}

+\def\problemname{Problem}

+\def\proofname{Proof}

+\def\propertyname{Property}

+\def\propositionname{Proposition}

+\def\questionname{Question}

+\def\remarkname{Remark}

+\def\seename{see}

+\def\solutionname{Solution}

+\def\subclassname{{\it Subject Classifications\/}:}

+\def\tablename{Table}

+\def\theoremname{Theorem}}

+\switcht@albion

+% Names of theorem like environments are already defined

+% but must be translated if another language is chosen

+%

+% French section

+\def\switcht@francais{%\typeout{On parle francais.}%

+ \def\abstractname{R\'esum\'e.}%

+ \def\ackname{Remerciements.}%

+ \def\andname{et}%

+ \def\lastandname{ et}%

+ \def\appendixname{Appendice}

+ \def\chaptername{Chapitre}%

+ \def\claimname{Pr\'etention}%

+ \def\conjecturename{Hypoth\`ese}%

+ \def\contentsname{Table des mati\`eres}%

+ \def\corollaryname{Corollaire}%

+ \def\definitionname{D\'efinition}%

+ \def\examplename{Exemple}%

+ \def\exercisename{Exercice}%

+ \def\figurename{Fig.}%

+ \def\keywordname{{\bf Mots-cl\'e:}}

+ \def\indexname{Index}

+ \def\lemmaname{Lemme}%

+ \def\contriblistname{Liste des contributeurs}

+ \def\listfigurename{Liste des figures}%

+ \def\listtablename{Liste des tables}%

+ \def\mailname{{\it Correspondence to\/}:}

+ \def\noteaddname{Note ajout\'ee \`a l'\'epreuve}%

+ \def\notename{Remarque}%

+ \def\partname{Partie}%

+ \def\problemname{Probl\`eme}%

+ \def\proofname{Preuve}%

+ \def\propertyname{Caract\'eristique}%

+%\def\propositionname{Proposition}%

+ \def\questionname{Question}%

+ \def\remarkname{Remarque}%

+ \def\seename{voir}

+ \def\solutionname{Solution}%

+ \def\subclassname{{\it Subject Classifications\/}:}

+ \def\tablename{Tableau}%

+ \def\theoremname{Th\'eor\`eme}%

+}

+%

+% German section

+\def\switcht@deutsch{%\typeout{Man spricht deutsch.}%

+ \def\abstractname{Zusammenfassung.}%

+ \def\ackname{Danksagung.}%

+ \def\andname{und}%

+ \def\lastandname{ und}%

+ \def\appendixname{Anhang}%

+ \def\chaptername{Kapitel}%

+ \def\claimname{Behauptung}%

+ \def\conjecturename{Hypothese}%

+ \def\contentsname{Inhaltsverzeichnis}%

+ \def\corollaryname{Korollar}%

+%\def\definitionname{Definition}%

+ \def\examplename{Beispiel}%

+ \def\exercisename{\"Ubung}%

+ \def\figurename{Abb.}%

+ \def\keywordname{{\bf Schl\"usselw\"orter:}}

+ \def\indexname{Index}

+%\def\lemmaname{Lemma}%

+ \def\contriblistname{Mitarbeiter}

+ \def\listfigurename{Abbildungsverzeichnis}%

+ \def\listtablename{Tabellenverzeichnis}%

+ \def\mailname{{\it Correspondence to\/}:}

+ \def\noteaddname{Nachtrag}%

+ \def\notename{Anmerkung}%

+ \def\partname{Teil}%

+%\def\problemname{Problem}%

+ \def\proofname{Beweis}%

+ \def\propertyname{Eigenschaft}%

+%\def\propositionname{Proposition}%

+ \def\questionname{Frage}%

+ \def\remarkname{Anmerkung}%

+ \def\seename{siehe}

+ \def\solutionname{L\"osung}%

+ \def\subclassname{{\it Subject Classifications\/}:}

+ \def\tablename{Tabelle}%

+%\def\theoremname{Theorem}%

+}

+

+% Ragged bottom for the actual page

+\def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil

+\global\let\@textbottom\relax}}

+

+\renewcommand\small{%

+   \@setfontsize\small\@ixpt{11}%

+   \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@

+   \abovedisplayshortskip \z@ \@plus2\p@

+   \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@

+   \def\@listi{\leftmargin\leftmargini

+               \parsep 0\p@ \@plus1\p@ \@minus\p@

+               \topsep 8\p@ \@plus2\p@ \@minus4\p@

+               \itemsep0\p@}%

+   \belowdisplayskip \abovedisplayskip

+}

+

+\frenchspacing

+\widowpenalty=10000

+\clubpenalty=10000

+

+\setlength\oddsidemargin   {63\p@}

+\setlength\evensidemargin  {63\p@}

+\setlength\marginparwidth  {90\p@}

+

+\setlength\headsep   {16\p@}

+

+\setlength\footnotesep{7.7\p@}

+\setlength\textfloatsep{8mm\@plus 2\p@ \@minus 4\p@}

+\setlength\intextsep   {8mm\@plus 2\p@ \@minus 2\p@}

+

+\setcounter{secnumdepth}{2}

+

+\newcounter {chapter}

+\renewcommand\thechapter      {\@arabic\c@chapter}

+

+\newif\if@mainmatter \@mainmattertrue

+\newcommand\frontmatter{\cleardoublepage

+            \@mainmatterfalse\pagenumbering{Roman}}

+\newcommand\mainmatter{\cleardoublepage

+       \@mainmattertrue\pagenumbering{arabic}}

+\newcommand\backmatter{\if@openright\cleardoublepage\else\clearpage\fi

+      \@mainmatterfalse}

+

+\renewcommand\part{\cleardoublepage

+                 \thispagestyle{empty}%

+                 \if@twocolumn

+                     \onecolumn

+                     \@tempswatrue

+                   \else

+                     \@tempswafalse

+                 \fi

+                 \null\vfil

+                 \secdef\@part\@spart}

+

+\def\@part[#1]#2{%

+    \ifnum \c@secnumdepth >-2\relax

+      \refstepcounter{part}%

+      \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}%

+    \else

+      \addcontentsline{toc}{part}{#1}%

+    \fi

+    \markboth{}{}%

+    {\centering

+     \interlinepenalty \@M

+     \normalfont

+     \ifnum \c@secnumdepth >-2\relax

+       \huge\bfseries \partname~\thepart

+       \par

+       \vskip 20\p@

+     \fi

+     \Huge \bfseries #2\par}%

+    \@endpart}

+\def\@spart#1{%

+    {\centering

+     \interlinepenalty \@M

+     \normalfont

+     \Huge \bfseries #1\par}%

+    \@endpart}

+\def\@endpart{\vfil\newpage

+              \if@twoside

+                \null

+                \thispagestyle{empty}%

+                \newpage

+              \fi

+              \if@tempswa

+                \twocolumn

+              \fi}

+

+\newcommand\chapter{\clearpage

+                    \thispagestyle{empty}%

+                    \global\@topnum\z@

+                    \@afterindentfalse

+                    \secdef\@chapter\@schapter}

+\def\@chapter[#1]#2{\ifnum \c@secnumdepth >\m@ne

+                       \if@mainmatter

+                         \refstepcounter{chapter}%

+                         \typeout{\@chapapp\space\thechapter.}%

+                         \addcontentsline{toc}{chapter}%

+                                  {\protect\numberline{\thechapter}#1}%

+                       \else

+                         \addcontentsline{toc}{chapter}{#1}%

+                       \fi

+                    \else

+                      \addcontentsline{toc}{chapter}{#1}%

+                    \fi

+                    \chaptermark{#1}%

+                    \addtocontents{lof}{\protect\addvspace{10\p@}}%

+                    \addtocontents{lot}{\protect\addvspace{10\p@}}%

+                    \if@twocolumn

+                      \@topnewpage[\@makechapterhead{#2}]%

+                    \else

+                      \@makechapterhead{#2}%

+                      \@afterheading

+                    \fi}

+\def\@makechapterhead#1{%

+% \vspace*{50\p@}%

+  {\centering

+    \ifnum \c@secnumdepth >\m@ne

+      \if@mainmatter

+        \large\bfseries \@chapapp{} \thechapter

+        \par\nobreak

+        \vskip 20\p@

+      \fi

+    \fi

+    \interlinepenalty\@M

+    \Large \bfseries #1\par\nobreak

+    \vskip 40\p@

+  }}

+\def\@schapter#1{\if@twocolumn

+                   \@topnewpage[\@makeschapterhead{#1}]%

+                 \else

+                   \@makeschapterhead{#1}%

+                   \@afterheading

+                 \fi}

+\def\@makeschapterhead#1{%

+% \vspace*{50\p@}%

+  {\centering

+    \normalfont

+    \interlinepenalty\@M

+    \Large \bfseries  #1\par\nobreak

+    \vskip 40\p@

+  }}

+

+\renewcommand\section{\@startsection{section}{1}{\z@}%

+                       {-18\p@ \@plus -4\p@ \@minus -4\p@}%

+                       {12\p@ \@plus 4\p@ \@minus 4\p@}%

+                       {\normalfont\large\bfseries\boldmath

+                        \rightskip=\z@ \@plus 8em\pretolerance=10000 }}

+\renewcommand\subsection{\@startsection{subsection}{2}{\z@}%

+                       {-18\p@ \@plus -4\p@ \@minus -4\p@}%

+                       {8\p@ \@plus 4\p@ \@minus 4\p@}%

+                       {\normalfont\normalsize\bfseries\boldmath

+                        \rightskip=\z@ \@plus 8em\pretolerance=10000 }}

+\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%

+                       {-18\p@ \@plus -4\p@ \@minus -4\p@}%

+                       {-0.5em \@plus -0.22em \@minus -0.1em}%

+                       {\normalfont\normalsize\bfseries\boldmath}}

+\renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}%

+                       {-12\p@ \@plus -4\p@ \@minus -4\p@}%

+                       {-0.5em \@plus -0.22em \@minus -0.1em}%

+                       {\normalfont\normalsize\itshape}}

+\renewcommand\subparagraph[1]{\typeout{LLNCS warning: You should not use

+                  \string\subparagraph\space with this class}\vskip0.5cm

+You should not use \verb|\subparagraph| with this class.\vskip0.5cm}

+

+\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00}

+\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01}

+\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02}

+\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03}

+\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04}

+\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05}

+\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06}

+\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07}

+\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08}

+\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09}

+\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A}

+

+\let\footnotesize\small

+

+\if@custvec

+\def\vec#1{\mathchoice{\mbox{\boldmath$\displaystyle#1$}}

+{\mbox{\boldmath$\textstyle#1$}}

+{\mbox{\boldmath$\scriptstyle#1$}}

+{\mbox{\boldmath$\scriptscriptstyle#1$}}}

+\fi

+

+\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}}

+\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil

+\penalty50\hskip1em\null\nobreak\hfil\squareforqed

+\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi}

+

+\def\getsto{\mathrel{\mathchoice {\vcenter{\offinterlineskip

+\halign{\hfil

+$\displaystyle##$\hfil\cr\gets\cr\to\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr\gets

+\cr\to\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr\gets

+\cr\to\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr

+\gets\cr\to\cr}}}}}

+\def\lid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil

+$\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.2pt}=\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr

+\noalign{\vskip1.2pt}=\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr

+\noalign{\vskip1pt}=\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr

+<\cr

+\noalign{\vskip0.9pt}=\cr}}}}}

+\def\gid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil

+$\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.2pt}=\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr

+\noalign{\vskip1.2pt}=\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr

+\noalign{\vskip1pt}=\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr

+>\cr

+\noalign{\vskip0.9pt}=\cr}}}}}

+\def\grole{\mathrel{\mathchoice {\vcenter{\offinterlineskip

+\halign{\hfil

+$\displaystyle##$\hfil\cr>\cr\noalign{\vskip-1pt}<\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr

+>\cr\noalign{\vskip-1pt}<\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr

+>\cr\noalign{\vskip-0.8pt}<\cr}}}

+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr

+>\cr\noalign{\vskip-0.3pt}<\cr}}}}}

+\def\bbbr{{\rm I\!R}} %reelle Zahlen

+\def\bbbm{{\rm I\!M}}

+\def\bbbn{{\rm I\!N}} %natuerliche Zahlen

+\def\bbbf{{\rm I\!F}}

+\def\bbbh{{\rm I\!H}}

+\def\bbbk{{\rm I\!K}}

+\def\bbbp{{\rm I\!P}}

+\def\bbbone{{\mathchoice {\rm 1\mskip-4mu l} {\rm 1\mskip-4mu l}

+{\rm 1\mskip-4.5mu l} {\rm 1\mskip-5mu l}}}

+\def\bbbc{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm C$}\hbox{\hbox

+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}

+{\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hbox

+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}

+{\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hbox

+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}

+{\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hbox

+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}}

+\def\bbbq{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm

+Q$}\hbox{\raise

+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}

+{\setbox0=\hbox{$\textstyle\rm Q$}\hbox{\raise

+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}

+{\setbox0=\hbox{$\scriptstyle\rm Q$}\hbox{\raise

+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}

+{\setbox0=\hbox{$\scriptscriptstyle\rm Q$}\hbox{\raise

+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}}}

+\def\bbbt{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm

+T$}\hbox{\hbox to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}

+{\setbox0=\hbox{$\textstyle\rm T$}\hbox{\hbox

+to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}

+{\setbox0=\hbox{$\scriptstyle\rm T$}\hbox{\hbox

+to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}

+{\setbox0=\hbox{$\scriptscriptstyle\rm T$}\hbox{\hbox

+to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}}}

+\def\bbbs{{\mathchoice

+{\setbox0=\hbox{$\displaystyle     \rm S$}\hbox{\raise0.5\ht0\hbox

+to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox

+to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}

+{\setbox0=\hbox{$\textstyle        \rm S$}\hbox{\raise0.5\ht0\hbox

+to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox

+to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}

+{\setbox0=\hbox{$\scriptstyle      \rm S$}\hbox{\raise0.5\ht0\hbox

+to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox

+to0pt{\kern0.5\wd0\vrule height0.45\ht0\hss}\box0}}

+{\setbox0=\hbox{$\scriptscriptstyle\rm S$}\hbox{\raise0.5\ht0\hbox

+to0pt{\kern0.4\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox

+to0pt{\kern0.55\wd0\vrule height0.45\ht0\hss}\box0}}}}

+\def\bbbz{{\mathchoice {\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}

+{\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}

+{\hbox{$\mathsf\scriptstyle Z\kern-0.3em Z$}}

+{\hbox{$\mathsf\scriptscriptstyle Z\kern-0.2em Z$}}}}

+

+\let\ts\,

+

+\setlength\leftmargini  {17\p@}

+\setlength\leftmargin    {\leftmargini}

+\setlength\leftmarginii  {\leftmargini}

+\setlength\leftmarginiii {\leftmargini}

+\setlength\leftmarginiv  {\leftmargini}

+\setlength  \labelsep  {.5em}

+\setlength  \labelwidth{\leftmargini}

+\addtolength\labelwidth{-\labelsep}

+

+\def\@listI{\leftmargin\leftmargini

+            \parsep 0\p@ \@plus1\p@ \@minus\p@

+            \topsep 8\p@ \@plus2\p@ \@minus4\p@

+            \itemsep0\p@}

+\let\@listi\@listI

+\@listi

+\def\@listii {\leftmargin\leftmarginii

+              \labelwidth\leftmarginii

+              \advance\labelwidth-\labelsep

+              \topsep    0\p@ \@plus2\p@ \@minus\p@}

+\def\@listiii{\leftmargin\leftmarginiii

+              \labelwidth\leftmarginiii

+              \advance\labelwidth-\labelsep

+              \topsep    0\p@ \@plus\p@\@minus\p@

+              \parsep    \z@

+              \partopsep \p@ \@plus\z@ \@minus\p@}

+

+\renewcommand\labelitemi{\normalfont\bfseries --}

+\renewcommand\labelitemii{$\m@th\bullet$}

+

+\setlength\arraycolsep{1.4\p@}

+\setlength\tabcolsep{1.4\p@}

+

+\def\tableofcontents{\chapter*{\contentsname\@mkboth{{\contentsname}}%

+                                                    {{\contentsname}}}

+ \def\authcount##1{\setcounter{auco}{##1}\setcounter{@auth}{1}}

+ \def\lastand{\ifnum\value{auco}=2\relax

+                 \unskip{} \andname\

+              \else

+                 \unskip \lastandname\

+              \fi}%

+ \def\and{\stepcounter{@auth}\relax

+          \ifnum\value{@auth}=\value{auco}%

+             \lastand

+          \else

+             \unskip,

+          \fi}%

+ \@starttoc{toc}\if@restonecol\twocolumn\fi}

+

+\def\l@part#1#2{\addpenalty{\@secpenalty}%

+   \addvspace{2em plus\p@}%  % space above part line

+   \begingroup

+     \parindent \z@

+     \rightskip \z@ plus 5em

+     \hrule\vskip5pt

+     \large               % same size as for a contribution heading

+     \bfseries\boldmath   % set line in boldface

+     \leavevmode          % TeX command to enter horizontal mode.

+     #1\par

+     \vskip5pt

+     \hrule

+     \vskip1pt

+     \nobreak             % Never break after part entry

+   \endgroup}

+

+\def\@dotsep{2}

+

+\let\phantomsection=\relax

+

+\def\hyperhrefextend{\ifx\hyper@anchor\@undefined\else

+{}\fi}

+

+\def\addnumcontentsmark#1#2#3{%

+\addtocontents{#1}{\protect\contentsline{#2}{\protect\numberline

+                     {\thechapter}#3}{\thepage}\hyperhrefextend}}%

+\def\addcontentsmark#1#2#3{%

+\addtocontents{#1}{\protect\contentsline{#2}{#3}{\thepage}\hyperhrefextend}}%

+\def\addcontentsmarkwop#1#2#3{%

+\addtocontents{#1}{\protect\contentsline{#2}{#3}{0}\hyperhrefextend}}%

+

+\def\@adcmk[#1]{\ifcase #1 \or

+\def\@gtempa{\addnumcontentsmark}%

+  \or    \def\@gtempa{\addcontentsmark}%

+  \or    \def\@gtempa{\addcontentsmarkwop}%

+  \fi\@gtempa{toc}{chapter}%

+}

+\def\addtocmark{%

+\phantomsection

+\@ifnextchar[{\@adcmk}{\@adcmk[3]}%

+}

+

+\def\l@chapter#1#2{\addpenalty{-\@highpenalty}

+ \vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup

+ \parindent \z@ \rightskip \@tocrmarg

+ \advance\rightskip by 0pt plus 2cm

+ \parfillskip -\rightskip \pretolerance=10000

+ \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip

+ {\large\bfseries\boldmath#1}\ifx0#2\hfil\null

+ \else

+      \nobreak

+      \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern

+      \@dotsep mu$}\hfill

+      \nobreak\hbox to\@pnumwidth{\hss #2}%

+ \fi\par

+ \penalty\@highpenalty \endgroup}

+

+\def\l@title#1#2{\addpenalty{-\@highpenalty}

+ \addvspace{8pt plus 1pt}

+ \@tempdima \z@

+ \begingroup

+ \parindent \z@ \rightskip \@tocrmarg

+ \advance\rightskip by 0pt plus 2cm

+ \parfillskip -\rightskip \pretolerance=10000

+ \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip

+ #1\nobreak

+ \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern

+ \@dotsep mu$}\hfill

+ \nobreak\hbox to\@pnumwidth{\hss #2}\par

+ \penalty\@highpenalty \endgroup}

+

+\def\l@author#1#2{\addpenalty{\@highpenalty}

+ \@tempdima=15\p@ %\z@

+ \begingroup

+ \parindent \z@ \rightskip \@tocrmarg

+ \advance\rightskip by 0pt plus 2cm

+ \pretolerance=10000

+ \leavevmode \advance\leftskip\@tempdima %\hskip -\leftskip

+ \textit{#1}\par

+ \penalty\@highpenalty \endgroup}

+

+\setcounter{tocdepth}{0}

+\newdimen\tocchpnum

+\newdimen\tocsecnum

+\newdimen\tocsectotal

+\newdimen\tocsubsecnum

+\newdimen\tocsubsectotal

+\newdimen\tocsubsubsecnum

+\newdimen\tocsubsubsectotal

+\newdimen\tocparanum

+\newdimen\tocparatotal

+\newdimen\tocsubparanum

+\tocchpnum=\z@            % no chapter numbers

+\tocsecnum=15\p@          % section 88. plus 2.222pt

+\tocsubsecnum=23\p@       % subsection 88.8 plus 2.222pt

+\tocsubsubsecnum=27\p@    % subsubsection 88.8.8 plus 1.444pt

+\tocparanum=35\p@         % paragraph 88.8.8.8 plus 1.666pt

+\tocsubparanum=43\p@      % subparagraph 88.8.8.8.8 plus 1.888pt

+\def\calctocindent{%

+\tocsectotal=\tocchpnum

+\advance\tocsectotal by\tocsecnum

+\tocsubsectotal=\tocsectotal

+\advance\tocsubsectotal by\tocsubsecnum

+\tocsubsubsectotal=\tocsubsectotal

+\advance\tocsubsubsectotal by\tocsubsubsecnum

+\tocparatotal=\tocsubsubsectotal

+\advance\tocparatotal by\tocparanum}

+\calctocindent

+

+\def\l@section{\@dottedtocline{1}{\tocchpnum}{\tocsecnum}}

+\def\l@subsection{\@dottedtocline{2}{\tocsectotal}{\tocsubsecnum}}

+\def\l@subsubsection{\@dottedtocline{3}{\tocsubsectotal}{\tocsubsubsecnum}}

+\def\l@paragraph{\@dottedtocline{4}{\tocsubsubsectotal}{\tocparanum}}

+\def\l@subparagraph{\@dottedtocline{5}{\tocparatotal}{\tocsubparanum}}

+

+\def\listoffigures{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn

+ \fi\section*{\listfigurename\@mkboth{{\listfigurename}}{{\listfigurename}}}

+ \@starttoc{lof}\if@restonecol\twocolumn\fi}

+\def\l@figure{\@dottedtocline{1}{0em}{1.5em}}

+

+\def\listoftables{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn

+ \fi\section*{\listtablename\@mkboth{{\listtablename}}{{\listtablename}}}

+ \@starttoc{lot}\if@restonecol\twocolumn\fi}

+\let\l@table\l@figure

+

+\renewcommand\listoffigures{%

+    \section*{\listfigurename

+      \@mkboth{\listfigurename}{\listfigurename}}%

+    \@starttoc{lof}%

+    }

+

+\renewcommand\listoftables{%

+    \section*{\listtablename

+      \@mkboth{\listtablename}{\listtablename}}%

+    \@starttoc{lot}%

+    }

+

+\ifx\oribibl\undefined

+\ifx\citeauthoryear\undefined

+\renewenvironment{thebibliography}[1]

+     {\section*{\refname}

+      \def\@biblabel##1{##1.}

+      \small

+      \list{\@biblabel{\@arabic\c@enumiv}}%

+           {\settowidth\labelwidth{\@biblabel{#1}}%

+            \leftmargin\labelwidth

+            \advance\leftmargin\labelsep

+            \if@openbib

+              \advance\leftmargin\bibindent

+              \itemindent -\bibindent

+              \listparindent \itemindent

+              \parsep \z@

+            \fi

+            \usecounter{enumiv}%

+            \let\p@enumiv\@empty

+            \renewcommand\theenumiv{\@arabic\c@enumiv}}%

+      \if@openbib

+        \renewcommand\newblock{\par}%

+      \else

+        \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%

+      \fi

+      \sloppy\clubpenalty4000\widowpenalty4000%

+      \sfcode`\.=\@m}

+     {\def\@noitemerr

+       {\@latex@warning{Empty `thebibliography' environment}}%

+      \endlist}

+\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw

+     {\let\protect\noexpand\immediate

+     \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}

+\newcount\@tempcntc

+\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi

+  \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do

+    {\@ifundefined

+       {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries

+        ?}\@warning

+       {Citation `\@citeb' on page \thepage \space undefined}}%

+    {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}%

+     \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne

+       \@citea\def\@citea{,}\hbox{\csname b@\@citeb\endcsname}%

+     \else

+      \advance\@tempcntb\@ne

+      \ifnum\@tempcntb=\@tempcntc

+      \else\advance\@tempcntb\m@ne\@citeo

+      \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}}

+\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else

+               \@citea\def\@citea{,\,\hskip\z@skip}%

+               \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else

+               {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else

+                \def\@citea{--}\fi

+      \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi}

+\else

+\renewenvironment{thebibliography}[1]

+     {\section*{\refname}

+      \small

+      \list{}%

+           {\settowidth\labelwidth{}%

+            \leftmargin\parindent

+            \itemindent=-\parindent

+            \labelsep=\z@

+            \if@openbib

+              \advance\leftmargin\bibindent

+              \itemindent -\bibindent

+              \listparindent \itemindent

+              \parsep \z@

+            \fi

+            \usecounter{enumiv}%

+            \let\p@enumiv\@empty

+            \renewcommand\theenumiv{}}%

+      \if@openbib

+        \renewcommand\newblock{\par}%

+      \else

+        \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%

+      \fi

+      \sloppy\clubpenalty4000\widowpenalty4000%

+      \sfcode`\.=\@m}

+     {\def\@noitemerr

+       {\@latex@warning{Empty `thebibliography' environment}}%

+      \endlist}

+      \def\@cite#1{#1}%

+      \def\@lbibitem[#1]#2{\item[]\if@filesw

+        {\def\protect##1{\string ##1\space}\immediate

+      \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}

+   \fi

+\else

+\@cons\@openbib@code{\noexpand\small}

+\fi

+

+\def\idxquad{\hskip 10\p@}% space that divides entry from number

+

+\def\@idxitem{\par\hangindent 10\p@}

+

+\def\subitem{\par\setbox0=\hbox{--\enspace}% second order

+                \noindent\hangindent\wd0\box0}% index entry

+

+\def\subsubitem{\par\setbox0=\hbox{--\,--\enspace}% third

+                \noindent\hangindent\wd0\box0}% order index entry

+

+\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}

+

+\renewenvironment{theindex}

+               {\@mkboth{\indexname}{\indexname}%

+                \thispagestyle{empty}\parindent\z@

+                \parskip\z@ \@plus .3\p@\relax

+                \let\item\par

+                \def\,{\relax\ifmmode\mskip\thinmuskip

+                             \else\hskip0.2em\ignorespaces\fi}%

+                \normalfont\small

+                \begin{multicols}{2}[\@makeschapterhead{\indexname}]%

+                }

+                {\end{multicols}}

+

+\renewcommand\footnoterule{%

+  \kern-3\p@

+  \hrule\@width 2truecm

+  \kern2.6\p@}

+  \newdimen\fnindent

+  \fnindent1em

+\long\def\@makefntext#1{%

+    \parindent \fnindent%

+    \leftskip \fnindent%

+    \noindent

+    \llap{\hb@xt@1em{\hss\@makefnmark\ }}\ignorespaces#1}

+

+\long\def\@makecaption#1#2{%

+  \small

+  \vskip\abovecaptionskip

+  \sbox\@tempboxa{{\bfseries #1.} #2}%

+  \ifdim \wd\@tempboxa >\hsize

+    {\bfseries #1.} #2\par

+  \else

+    \global \@minipagefalse

+    \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%

+  \fi

+  \vskip\belowcaptionskip}

+

+\def\fps@figure{htbp}

+\def\fnum@figure{\figurename\thinspace\thefigure}

+\def \@floatboxreset {%

+        \reset@font

+        \small

+        \@setnobreak

+        \@setminipage

+}

+\def\fps@table{htbp}

+\def\fnum@table{\tablename~\thetable}

+\renewenvironment{table}

+               {\setlength\abovecaptionskip{0\p@}%

+                \setlength\belowcaptionskip{10\p@}%

+                \@float{table}}

+               {\end@float}

+\renewenvironment{table*}

+               {\setlength\abovecaptionskip{0\p@}%

+                \setlength\belowcaptionskip{10\p@}%

+                \@dblfloat{table}}

+               {\end@dblfloat}

+

+\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname

+  ext@#1\endcsname}{#1}{\protect\numberline{\csname

+  the#1\endcsname}{\ignorespaces #2}}\begingroup

+    \@parboxrestore

+    \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par

+  \endgroup}

+

+% LaTeX does not provide a command to enter the authors institute

+% addresses. The \institute command is defined here.

+

+\newcounter{@inst}

+\newcounter{@auth}

+\newcounter{auco}

+\newdimen\instindent

+\newbox\authrun

+\newtoks\authorrunning

+\newtoks\tocauthor

+\newbox\titrun

+\newtoks\titlerunning

+\newtoks\toctitle

+

+\def\clearheadinfo{\gdef\@author{No Author Given}%

+                   \gdef\@title{No Title Given}%

+                   \gdef\@subtitle{}%

+                   \gdef\@institute{No Institute Given}%

+                   \gdef\@thanks{}%

+                   \global\titlerunning={}\global\authorrunning={}%

+                   \global\toctitle={}\global\tocauthor={}}

+

+\def\institute#1{\gdef\@institute{#1}}

+

+\def\institutename{\par

+ \begingroup

+ \parskip=\z@

+ \parindent=\z@

+ \setcounter{@inst}{1}%

+ \def\and{\par\stepcounter{@inst}%

+ \noindent$^{\the@inst}$\enspace\ignorespaces}%

+ \setbox0=\vbox{\def\thanks##1{}\@institute}%

+ \ifnum\c@@inst=1\relax

+   \gdef\fnnstart{0}%

+ \else

+   \xdef\fnnstart{\c@@inst}%

+   \setcounter{@inst}{1}%

+   \noindent$^{\the@inst}$\enspace

+ \fi

+ \ignorespaces

+ \@institute\par

+ \endgroup}

+

+\def\@fnsymbol#1{\ensuremath{\ifcase#1\or\star\or{\star\star}\or

+   {\star\star\star}\or \dagger\or \ddagger\or

+   \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger

+   \or \ddagger\ddagger \else\@ctrerr\fi}}

+

+\def\inst#1{\unskip$^{#1}$}

+\def\fnmsep{\unskip$^,$}

+\def\email#1{{\tt#1}}

+\AtBeginDocument{\@ifundefined{url}{\def\url#1{#1}}{}%

+\@ifpackageloaded{babel}{%

+\@ifundefined{extrasenglish}{}{\addto\extrasenglish{\switcht@albion}}%

+\@ifundefined{extrasfrenchb}{}{\addto\extrasfrenchb{\switcht@francais}}%

+\@ifundefined{extrasgerman}{}{\addto\extrasgerman{\switcht@deutsch}}%

+}{\switcht@@therlang}%

+\providecommand{\keywords}[1]{\par\addvspace\baselineskip

+\noindent\keywordname\enspace\ignorespaces#1}%

+}

+\def\homedir{\~{ }}

+

+\def\subtitle#1{\gdef\@subtitle{#1}}

+\clearheadinfo

+%

+%%% to avoid hyperref warnings

+\providecommand*{\toclevel@author}{999}

+%%% to make title-entry parent of section-entries

+\providecommand*{\toclevel@title}{0}

+%

+\renewcommand\maketitle{\newpage

+\phantomsection

+  \refstepcounter{chapter}%

+  \stepcounter{section}%

+  \setcounter{section}{0}%

+  \setcounter{subsection}{0}%

+  \setcounter{figure}{0}

+  \setcounter{table}{0}

+  \setcounter{equation}{0}

+  \setcounter{footnote}{0}%

+  \begingroup

+    \parindent=\z@

+    \renewcommand\thefootnote{\@fnsymbol\c@footnote}%

+    \if@twocolumn

+      \ifnum \col@number=\@ne

+        \@maketitle

+      \else

+        \twocolumn[\@maketitle]%

+      \fi

+    \else

+      \newpage

+      \global\@topnum\z@   % Prevents figures from going at top of page.

+      \@maketitle

+    \fi

+    \thispagestyle{empty}\@thanks

+%

+    \def\\{\unskip\ \ignorespaces}\def\inst##1{\unskip{}}%

+    \def\thanks##1{\unskip{}}\def\fnmsep{\unskip}%

+    \instindent=\hsize

+    \advance\instindent by-\headlineindent

+    \if!\the\toctitle!\addcontentsline{toc}{title}{\@title}\else

+       \addcontentsline{toc}{title}{\the\toctitle}\fi

+    \if@runhead

+       \if!\the\titlerunning!\else

+         \edef\@title{\the\titlerunning}%

+       \fi

+       \global\setbox\titrun=\hbox{\small\rm\unboldmath\ignorespaces\@title}%

+       \ifdim\wd\titrun>\instindent

+          \typeout{Title too long for running head. Please supply}%

+          \typeout{a shorter form with \string\titlerunning\space prior to

+                   \string\maketitle}%

+          \global\setbox\titrun=\hbox{\small\rm

+          Title Suppressed Due to Excessive Length}%

+       \fi

+       \xdef\@title{\copy\titrun}%

+    \fi

+%

+    \if!\the\tocauthor!\relax

+      {\def\and{\noexpand\protect\noexpand\and}%

+      \protected@xdef\toc@uthor{\@author}}%

+    \else

+      \def\\{\noexpand\protect\noexpand\newline}%

+      \protected@xdef\scratch{\the\tocauthor}%

+      \protected@xdef\toc@uthor{\scratch}%

+    \fi

+    \addtocontents{toc}{\noexpand\protect\noexpand\authcount{\the\c@auco}}%

+    \addcontentsline{toc}{author}{\toc@uthor}%

+    \if@runhead

+       \if!\the\authorrunning!

+         \value{@inst}=\value{@auth}%

+         \setcounter{@auth}{1}%

+       \else

+         \edef\@author{\the\authorrunning}%

+       \fi

+       \global\setbox\authrun=\hbox{\small\unboldmath\@author\unskip}%

+       \ifdim\wd\authrun>\instindent

+          \typeout{Names of authors too long for running head. Please supply}%

+          \typeout{a shorter form with \string\authorrunning\space prior to

+                   \string\maketitle}%

+          \global\setbox\authrun=\hbox{\small\rm

+          Authors Suppressed Due to Excessive Length}%

+       \fi

+       \xdef\@author{\copy\authrun}%

+       \markboth{\@author}{\@title}%

+     \fi

+  \endgroup

+  \setcounter{footnote}{\fnnstart}%

+  \clearheadinfo}

+%

+\def\@maketitle{\newpage

+ \markboth{}{}%

+ \def\lastand{\ifnum\value{@inst}=2\relax

+                 \unskip{} \andname\

+              \else

+                 \unskip \lastandname\

+              \fi}%

+ \def\and{\stepcounter{@auth}\relax

+          \ifnum\value{@auth}=\value{@inst}%

+             \lastand

+          \else

+             \unskip,

+          \fi}%

+ \begin{center}%

+ \let\newline\\

+ {\Large \bfseries\boldmath

+  \pretolerance=10000

+  \@title \par}\vskip .8cm

+\if!\@subtitle!\else {\large \bfseries\boldmath

+  \vskip -.65cm

+  \pretolerance=10000

+  \@subtitle \par}\vskip .8cm\fi

+ \setbox0=\vbox{\setcounter{@auth}{1}\def\and{\stepcounter{@auth}}%

+ \def\thanks##1{}\@author}%

+ \global\value{@inst}=\value{@auth}%

+ \global\value{auco}=\value{@auth}%

+ \setcounter{@auth}{1}%

+{\lineskip .5em

+\noindent\ignorespaces

+\@author\vskip.35cm}

+ {\small\institutename}

+ \end{center}%

+ }

+

+% definition of the "\spnewtheorem" command.

+%

+% Usage:

+%

+%     \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font}

+% or  \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font}

+% or  \spnewtheorem*{env_nam}{caption}{cap_font}{body_font}

+%

+% New is "cap_font" and "body_font". It stands for

+% fontdefinition of the caption and the text itself.

+%

+% "\spnewtheorem*" gives a theorem without number.

+%

+% A defined spnewthoerem environment is used as described

+% by Lamport.

+%

+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

+

+\def\@thmcountersep{}

+\def\@thmcounterend{.}

+

+\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}}

+

+% definition of \spnewtheorem with number

+

+\def\@spnthm#1#2{%

+  \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}}

+\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}}

+

+\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname

+   {\@definecounter{#1}\@addtoreset{#1}{#3}%

+   \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand

+     \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}%

+   \expandafter\xdef\csname #1name\endcsname{#2}%

+   \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}%

+                              \global\@namedef{end#1}{\@endtheorem}}}

+

+\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname

+   {\@definecounter{#1}%

+   \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}%

+   \expandafter\xdef\csname #1name\endcsname{#2}%

+   \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}%

+                               \global\@namedef{end#1}{\@endtheorem}}}

+

+\def\@spothm#1[#2]#3#4#5{%

+  \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}%

+  {\expandafter\@ifdefinable\csname #1\endcsname

+  {\newaliascnt{#1}{#2}%

+  \expandafter\xdef\csname #1name\endcsname{#3}%

+  \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}%

+  \global\@namedef{end#1}{\@endtheorem}}}}

+

+\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@

+\refstepcounter{#1}%

+\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}}

+

+\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}%

+                    \ignorespaces}

+

+\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname

+       the#1\endcsname}{#5}{#3}{#4}\ignorespaces}

+

+\def\@spbegintheorem#1#2#3#4{\trivlist

+                 \item[\hskip\labelsep{#3#1\ #2\@thmcounterend}]#4}

+

+\def\@spopargbegintheorem#1#2#3#4#5{\trivlist

+      \item[\hskip\labelsep{#4#1\ #2}]{#4(#3)\@thmcounterend\ }#5}

+

+% definition of \spnewtheorem* without number

+

+\def\@sthm#1#2{\@Ynthm{#1}{#2}}

+

+\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname

+   {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}%

+    \expandafter\xdef\csname #1name\endcsname{#2}%

+    \global\@namedef{end#1}{\@endtheorem}}}

+

+\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@

+\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}}

+

+\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces}

+

+\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1}

+       {#4}{#2}{#3}\ignorespaces}

+

+\def\@Begintheorem#1#2#3{#3\trivlist

+                           \item[\hskip\labelsep{#2#1\@thmcounterend}]}

+

+\def\@Opargbegintheorem#1#2#3#4{#4\trivlist

+      \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }}

+

+\if@envcntsect

+   \def\@thmcountersep{.}

+   \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape}

+\else

+   \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape}

+   \if@envcntreset

+      \@addtoreset{theorem}{section}

+   \else

+      \@addtoreset{theorem}{chapter}

+   \fi

+\fi

+

+%definition of divers theorem environments

+\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily}

+\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily}

+\if@envcntsame % alle Umgebungen wie Theorem.

+   \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}}

+\else % alle Umgebungen mit eigenem Zaehler

+   \if@envcntsect % mit section numeriert

+      \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}}

+   \else % nicht mit section numeriert

+      \if@envcntreset

+         \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}

+                                   \@addtoreset{#1}{section}}

+      \else

+         \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}

+                                   \@addtoreset{#1}{chapter}}%

+      \fi

+   \fi

+\fi

+\spn@wtheorem{case}{Case}{\itshape}{\rmfamily}

+\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily}

+\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape}

+\spn@wtheorem{definition}{Definition}{\bfseries}{\itshape}

+\spn@wtheorem{example}{Example}{\itshape}{\rmfamily}

+\spn@wtheorem{exercise}{Exercise}{\itshape}{\rmfamily}

+\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape}

+\spn@wtheorem{note}{Note}{\itshape}{\rmfamily}

+\spn@wtheorem{problem}{Problem}{\itshape}{\rmfamily}

+\spn@wtheorem{property}{Property}{\itshape}{\rmfamily}

+\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape}

+\spn@wtheorem{question}{Question}{\itshape}{\rmfamily}

+\spn@wtheorem{solution}{Solution}{\itshape}{\rmfamily}

+\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily}

+

+\def\@takefromreset#1#2{%

+    \def\@tempa{#1}%

+    \let\@tempd\@elt

+    \def\@elt##1{%

+        \def\@tempb{##1}%

+        \ifx\@tempa\@tempb\else

+            \@addtoreset{##1}{#2}%

+        \fi}%

+    \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname

+    \expandafter\def\csname cl@#2\endcsname{}%

+    \@tempc

+    \let\@elt\@tempd}

+

+\def\theopargself{\def\@spopargbegintheorem##1##2##3##4##5{\trivlist

+      \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5}

+                  \def\@Opargbegintheorem##1##2##3##4{##4\trivlist

+      \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }}

+      }

+

+\renewenvironment{abstract}{%

+      \list{}{\advance\topsep by0.35cm\relax\small

+      \leftmargin=1cm

+      \labelwidth=\z@

+      \listparindent=\z@

+      \itemindent\listparindent

+      \rightmargin\leftmargin}\item[\hskip\labelsep

+                                    \bfseries\abstractname]}

+    {\endlist}

+

+\newdimen\headlineindent             % dimension for space between

+\headlineindent=1.166cm              % number and text of headings.

+

+\def\ps@headings{\let\@mkboth\@gobbletwo

+   \let\@oddfoot\@empty\let\@evenfoot\@empty

+   \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%

+                  \leftmark\hfil}

+   \def\@oddhead{\normalfont\small\hfil\rightmark\hspace{\headlineindent}%

+                 \llap{\thepage}}

+   \def\chaptermark##1{}%

+   \def\sectionmark##1{}%

+   \def\subsectionmark##1{}}

+

+\def\ps@titlepage{\let\@mkboth\@gobbletwo

+   \let\@oddfoot\@empty\let\@evenfoot\@empty

+   \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%

+                  \hfil}

+   \def\@oddhead{\normalfont\small\hfil\hspace{\headlineindent}%

+                 \llap{\thepage}}

+   \def\chaptermark##1{}%

+   \def\sectionmark##1{}%

+   \def\subsectionmark##1{}}

+

+\if@runhead\ps@headings\else

+\ps@empty\fi

+

+\setlength\arraycolsep{1.4\p@}

+\setlength\tabcolsep{1.4\p@}

+

+\endinput

+%end of file llncs.cls

diff --git a/main.tex b/main.tex
index 83c4303..a7dc8ba 100755
--- a/main.tex
+++ b/main.tex
@@ -72,12 +72,12 @@ Lemma~\ref{thm:myerson-variant} allows us to incorporate our relaxation in the a
     $O\big(poly(n, d, \log\log\frac{B}{b\varepsilon\delta})\big)$
     and allocates
     a set $S^*$ such that
-%    \begin{align*}
-       $ OPT
+    \begin{displaymath}
+        OPT
          \leq \frac{10e-3 + \sqrt{64e^2-24e + 9}}{2(e-1)} V(S^*)+
         \varepsilon
-         \simeq 12.98V(S^*) + \varepsilon.$
-%    \end{align*}
+         \simeq 12.98V(S^*) + \varepsilon.
+     \end{displaymath}
 \end{theorem}
 The proof of the theorem, as well as our proposed mechanism, can be found in Appendix~\ref{sec:proofofmainthm}.
 In addition, we prove the following simple lower bound, proved in Appendix~\ref{proofoflowerbound}.
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+>>
+endobj
+3 0 obj
+<<
+/Type /Pages
+/Kids [ 4 0 R ]
+/Count 1
+>>
+endobj
+xref
+0 8
+0000000000 65535 f 
+0000043625 00000 n 
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+trailer
+<<
+/Size 8
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+>>
+startxref
+43852
+%%EOF
diff --git a/paper.tex b/paper.tex
index f1605c1..7abcf9a 100755
--- a/paper.tex
+++ b/paper.tex
@@ -1,31 +1,32 @@
-\documentclass[11pt,letterpaper]{article}
-\usepackage[margin=1in]{geometry}
-\usepackage[numbers]{natbib}
+\documentclass[draft]{llncs}
+\pagestyle{plain}
+\usepackage[numbers, sectionbib]{natbib}
 \usepackage[utf8]{inputenc}
 \usepackage{amsmath,amsfonts}
 \usepackage{algorithm, algpseudocode}
 \usepackage{bbm,color,verbatim}
-\usepackage{amsthm}
 \input{definitions}
-\usepackage[pagebackref=true,breaklinks=true,colorlinks=true]{hyperref}
+\usepackage[pagebackref=true,breaklinks=true,colorlinks=true,pagebackref=false]{hyperref}
 \title{Budget Feasible Mechanisms for Experimental Design}
 \author{
-    Thibaut Horel\\École Normale Supérieure\\\texttt{thibaut.horel@normalesup.org}
+    Thibaut Horel\inst{1}
     \and
-    Stratis Ioannidis\\Technicolor\\\texttt{stratis.ioannidis@technicolor.com}
+    Stratis Ioannidis\inst{2}
     \and
-    S. Muthukrishnan\\Rutgers University--Microsoft Research\\\texttt{muthu@cs.rutgers.edu}
+    S. Muthukrishnan\inst{3}
+}
+\institute{École Normale Supérieure, \email{thibaut.horel@normalesup.org}
+    \and
+    Technicolor, \email{stratis.ioannidis@technicolor.com}
+    \and
+    Rutgers University, \email{muthu@cs.rutgers.edu}
 }
-
 \begin{document}
 \maketitle
-\thispagestyle{empty}
 \begin{abstract}
 \input{abstract}
 \end{abstract}
 
-\clearpage
-\setcounter{page}{1}
 \section{Introduction}
 \input{intro}
 
@@ -39,8 +40,10 @@
 \input{conclusion}
 \section*{Acknowledgments}
 \input{ack}
-\bibliographystyle{abbrvnat}
+\bibliographystyle{splncsnat}
+\begin{footnotesize}
 \bibliography{notes}
+\end{footnotesize}
 \appendix
 \input{appendix}
 \section{Extensions}\label{sec:ext}
diff --git a/plot.py b/plot.py
index 611583c..9843bc1 100755
--- a/plot.py
+++ b/plot.py
@@ -1,32 +1,10 @@
-from mpl_toolkits.mplot3d import Axes3D
-import matplotlib.pyplot as plt
 import numpy as np
+import matplotlib.pyplot as plt
+from math import e
 
-fig = plt.figure()
-#ax = Axes3D(fig)
-
-#X = np.arange(-20, 20, 0.5)
-#xlen = len(X)
-#Y = np.arange(-20, 20, 0.5)
-#ylen = len(Y)
-#X, Y = np.meshgrid(X, Y)
-
-#fig = plt.figure()
-#for i in [-0.3]:
-#   j = i*i
-#    Z = 2*X*Y*i*(4-j) + (X*X+Y*Y)*j*(6-2*j)
-#    surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1,
-#        linewidth=0, antialiased=True)
-
-#ax = fig.add_subplot(1,1,1)
-#x = np.arange(-1,5,0.1)
-#y = (((4*x -24)*x +36)*x-16)*x 
-#z = 0*x
-#ax.plot(x,y,x,z,antialiased=True)
-
-ax = fig.add_subplot(1,1,1)
-x = np.arange(0,1,0.01)
-y = np.sqrt((x-1)*(x+2)/((x+1)*(x-2)))
-ax.plot(x,y)
-
+t = np.arange(0.001, 1, 0.001)
+u = np.sqrt((4*e**2 + 4*e +1)*t**2+ (24*e**2-4*e+4)*t+ 36*e**2-24*e+4)/(2*(e-1)*t)-(3*e-1)/((e-1)*t)
+print u[0]
+print t[0]
+plt.plot(t,u)
 plt.show()
diff --git a/problem.tex b/problem.tex
index c21135b..73647da 100755
--- a/problem.tex
+++ b/problem.tex
@@ -6,7 +6,7 @@ The theory of experimental design \cite{pukelsheim2006optimal,atkinson2007optimu
 Suppose that an experimenter \E\ wishes to conduct $k$ among $n$ possible
 experiments. Each experiment $i\in\mathcal{N}\defeq \{1,\ldots,n\}$ is
 associated with a set of parameters (or features) $x_i\in \reals^d$, normalized
-so that $$b\leq \|x_i\|^2_2\leq 1,$$ for some $b>0$. Denote by $S\subseteq \mathcal{N}$, where $|S|=k$, the set of experiments selected; upon its execution, experiment $i\in S$ reveals an output variable (the ``measurement'') $y_i$,  related to the experiment features $x_i$ through a linear function, \emph{i.e.},
+so that $b\leq \|x_i\|^2_2\leq 1,$ for some $b>0$. Denote by $S\subseteq \mathcal{N}$, where $|S|=k$, the set of experiments selected; upon its execution, experiment $i\in S$ reveals an output variable (the ``measurement'') $y_i$,  related to the experiment features $x_i$ through a linear function, \emph{i.e.},
 \begin{align}\label{model}
      \forall i\in\mathcal{N},\quad y_i = \T{\beta} x_i + \varepsilon_i
 \end{align}
@@ -25,8 +25,11 @@ distribution on $\beta$, \emph{i.e.},  $\beta$ has a multivariate normal prior
 with zero mean  and covariance $\sigma^2R^{-1}\in \reals^{d^2}$ (where $\sigma^2$ is the noise variance). 
 Then, \E\ estimates $\beta$ through \emph{maximum a posteriori estimation}: \emph{i.e.}, finding the parameter which maximizes the posterior distribution of $\beta$ given the observations $y_S$. Under the linearity assumption \eqref{model} and the Gaussian prior on $\beta$, maximum a posteriori estimation leads to the following maximization \cite{hastie}: 
 \begin{align}
-    \hat{\beta} = \argmax_{\beta\in\reals^d} \prob(\beta\mid y_S) =\argmin_{\beta\in\reals^d} \big(\sum_{i\in S} (y_i - \T{\beta}x_i)^2
-    + \T{\beta}R\beta\big) = (R+\T{X_S}X_S)^{-1}X_S^Ty_S \label{ridge}
+    \begin{split}
+        \hat{\beta} = \argmax_{\beta\in\reals^d} \prob(\beta\mid y_S) &=\argmin_{\beta\in\reals^d} \big(\sum_{i\in S} (y_i - \T{\beta}x_i)^2
+    + \T{\beta}R\beta\big)\\
+    & = (R+\T{X_S}X_S)^{-1}X_S^Ty_S \label{ridge}
+\end{split}
 \end{align}
 where the last equality is obtained by setting  $\nabla_{\beta}\prob(\beta\mid y_S)$ to zero and solving the resulting linear system; in \eqref{ridge}, $X_S\defeq[x_i]_{i\in S}\in \reals^{|S|\times d}$ is the matrix of experiment features and
 $y_S\defeq[y_i]_{i\in S}\in\reals^{|S|}$ are the observed measurements. 
diff --git a/related.tex b/related.tex
index 4b7e740..8cca712 100755
--- a/related.tex
+++ b/related.tex
@@ -36,7 +36,7 @@ establish that it can be incorporated in the framework of
 \paragraph{Beyond Submodular Objectives}
 Beyond submodular objectives, it is known that no truthful mechanism with approximation ratio smaller than $n^{1/2-\epsilon}$ exists for maximizing  fractionally subadditive functions (a class that includes submodular functions) assuming access to a value query oracle~\cite{singer-mechanisms}. Assuming access to a stronger oracle (the \emph{demand} oracle), there exists
 a truthful, $O(\log^3 n)$-approximate mechanism 
-\cite{dobz2011-mechanisms} as well as a universally truthful, $O(\frac{\log n}{\log \log n})$-approximate mechanism for subadditive maximization 
+\cite{dobz2011-mechanisms} as well as a universally truthful, $O(\frac{\log n}{\log \log n})$-appro\-xi\-mate mechanism for subadditive maximization 
 \cite{bei2012budget}. Moreover, in a Bayesian setup, assuming a prior distribution among the agent's costs, there exists a truthful mechanism with a 768/512-approximation ratio \cite{bei2012budget}. %(in terms of expectations)
 Posted price, rather than direct revelation mechanisms, are also studied in \cite{singerposted}.
 
diff --git a/splncs.bst b/splncs.bst
new file mode 100644
index 0000000..fe8a22a
--- /dev/null
+++ b/splncs.bst
@@ -0,0 +1,1098 @@
+% BibTeX bibliography style `splncs'
+
+% An attempt to match the bibliography style required for use with
+% numbered references in Springer Verlag's "Lecture Notes in Computer
+% Science" series.  (See Springer's documentation for llncs.sty for
+% more details of the suggested reference format.)  Note that this
+% file will not work for author-year style citations.
+
+% Use \documentclass{llncs} and \bibliographystyle{splncs}, and cite
+% a reference with (e.g.) \cite{smith77} to get a "[1]" in the text.
+
+% Copyright (C) 1999 Jason Noble.
+% Last updated: Friday 07 March 2006, 08:04:42  Frank Holzwarth, Springer
+%
+% Based on the BibTeX standard bibliography style `unsrt'
+
+ENTRY
+  { address
+    author
+    booktitle
+    chapter
+    edition
+    editor
+    howpublished
+    institution
+    journal
+    key
+    month
+    note
+    number
+    organization
+    pages
+    publisher
+    school
+    series
+    title
+    type
+    volume
+    year
+  }
+  {}
+  { label }
+
+INTEGERS { output.state before.all mid.sentence after.sentence
+           after.block after.authors between.elements}
+
+FUNCTION {init.state.consts}
+{ #0 'before.all :=
+  #1 'mid.sentence :=
+  #2 'after.sentence :=
+  #3 'after.block :=
+  #4 'after.authors :=
+  #5 'between.elements :=
+}
+
+STRINGS { s t }
+
+FUNCTION {output.nonnull}
+{ 's :=
+  output.state mid.sentence =
+    { " " * write$ }
+    { output.state after.block =
+        { add.period$ write$
+          newline$
+          "\newblock " write$
+        }
+        {
+          output.state after.authors =
+          { ": " * write$
+            newline$
+            "\newblock " write$
+          }
+          { output.state between.elements =
+              { ", " * write$ }
+              { output.state before.all =
+                   'write$
+                  { add.period$ " " * write$ }
+                  if$
+              }
+              if$
+          }
+          if$
+        }
+      if$
+      mid.sentence 'output.state :=
+    }
+  if$
+  s
+}
+
+FUNCTION {output}
+{ duplicate$ empty$
+    'pop$
+    'output.nonnull
+  if$
+}
+
+FUNCTION {output.check}
+{ 't :=
+  duplicate$ empty$
+    { pop$ "empty " t * " in " * cite$ * warning$ }
+    'output.nonnull
+  if$
+}
+
+FUNCTION {output.bibitem}
+{ newline$
+  "\bibitem{" write$
+  cite$ write$
+  "}" write$
+  newline$
+  ""
+  before.all 'output.state :=
+}
+
+FUNCTION {fin.entry}
+{ write$
+  newline$
+}
+
+FUNCTION {new.block}
+{ output.state before.all =
+    'skip$
+    { after.block 'output.state := }
+  if$
+}
+
+FUNCTION {stupid.colon}
+{ after.authors 'output.state := }
+
+FUNCTION {insert.comma}
+{ output.state before.all =
+    'skip$
+    { between.elements 'output.state := }
+  if$
+}
+
+FUNCTION {new.sentence}
+{ output.state after.block =
+    'skip$
+    { output.state before.all =
+        'skip$
+        { after.sentence 'output.state := }
+      if$
+    }
+  if$
+}
+
+FUNCTION {not}
+{   { #0 }
+    { #1 }
+  if$
+}
+
+FUNCTION {and}
+{   'skip$
+    { pop$ #0 }
+  if$
+}
+
+FUNCTION {or}
+{   { pop$ #1 }
+    'skip$
+  if$
+}
+
+FUNCTION {new.block.checka}
+{ empty$
+    'skip$
+    'new.block
+  if$
+}
+
+FUNCTION {new.block.checkb}
+{ empty$
+  swap$ empty$
+  and
+    'skip$
+    'new.block
+  if$
+}
+
+FUNCTION {new.sentence.checka}
+{ empty$
+    'skip$
+    'new.sentence
+  if$
+}
+
+FUNCTION {new.sentence.checkb}
+{ empty$
+  swap$ empty$
+  and
+    'skip$
+    'new.sentence
+  if$
+}
+
+FUNCTION {field.or.null}
+{ duplicate$ empty$
+    { pop$ "" }
+    'skip$
+  if$
+}
+
+FUNCTION {emphasize}
+{ duplicate$ empty$
+    { pop$ "" }
+    { "" swap$ * "" * }
+  if$
+}
+
+FUNCTION {bold}
+{ duplicate$ empty$
+    { pop$ "" }
+    { "\textbf{" swap$ * "}" * }
+  if$
+}
+
+FUNCTION {parens}
+{ duplicate$ empty$
+    { pop$ "" }
+    { "(" swap$ * ")" * }
+  if$
+}
+
+INTEGERS { nameptr namesleft numnames }
+
+FUNCTION {format.springer.names}
+{ 's :=
+  #1 'nameptr :=
+  s num.names$ 'numnames :=
+  numnames 'namesleft :=
+    { namesleft #0 > }
+    { s nameptr "{vv~}{ll}{, jj}{, f{.}.}" format.name$ 't :=
+      nameptr #1 >
+        { namesleft #1 >
+            { ", " * t * }
+            { numnames #1 >
+                { ", " * }
+                'skip$
+              if$
+              t "others" =
+                { " et~al." * }
+                { "" * t * }
+              if$
+            }
+          if$
+        }
+        't
+      if$
+      nameptr #1 + 'nameptr :=
+      namesleft #1 - 'namesleft :=
+    }
+  while$
+}
+
+FUNCTION {format.names}
+{ 's :=
+  #1 'nameptr :=
+  s num.names$ 'numnames :=
+  numnames 'namesleft :=
+    { namesleft #0 > }
+    { s nameptr "{vv~}{ll}{, jj}{, f.}" format.name$ 't :=
+      nameptr #1 >
+        { namesleft #1 >
+            { ", " * t * }
+            { numnames #2 >
+                { "," * }
+                'skip$
+              if$
+              t "others" =
+                { " et~al." * }
+                { " \& " * t * }
+              if$
+            }
+          if$
+        }
+        't
+      if$
+      nameptr #1 + 'nameptr :=
+      namesleft #1 - 'namesleft :=
+    }
+  while$
+}
+
+FUNCTION {format.authors}
+{ author empty$
+    { "" }
+    { author format.springer.names }
+  if$
+}
+
+FUNCTION {format.editors}
+{ editor empty$
+    { "" }
+    { editor format.springer.names
+      editor num.names$ #1 >
+        { ", eds." * }
+        { ", ed." * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.title}
+{ title empty$
+    { "" }
+    { title "t" change.case$ }
+  if$
+}
+
+FUNCTION {n.dashify}
+{ 't :=
+  ""
+    { t empty$ not }
+    { t #1 #1 substring$ "-" =
+        { t #1 #2 substring$ "--" = not
+            { "--" *
+              t #2 global.max$ substring$ 't :=
+            }
+            {   { t #1 #1 substring$ "-" = }
+                { "-" *
+                  t #2 global.max$ substring$ 't :=
+                }
+              while$
+            }
+          if$
+        }
+        { t #1 #1 substring$ *
+          t #2 global.max$ substring$ 't :=
+        }
+      if$
+    }
+  while$
+}
+
+FUNCTION {format.date}
+{ year empty$
+    { month empty$
+        { "" }
+        { "there's a month but no year in " cite$ * warning$
+          month
+        }
+      if$
+    }
+    { month empty$
+        'year
+        { month " " * year * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.btitle}
+{ title emphasize
+}
+
+FUNCTION {tie.or.space.connect}
+{ duplicate$ text.length$ #3 <
+    { "~" }
+    { " " }
+  if$
+  swap$ * *
+}
+
+FUNCTION {either.or.check}
+{ empty$
+    'pop$
+    { "can't use both " swap$ * " fields in " * cite$ * warning$ }
+  if$
+}
+
+FUNCTION {format.bvolume}
+{ volume empty$
+    { "" }
+    { "Volume" volume tie.or.space.connect
+      series empty$
+        'skip$
+        { " of " * series emphasize * }
+      if$
+      add.period$
+      "volume and number" number either.or.check
+    }
+  if$
+}
+
+FUNCTION {format.number.series}
+{ volume empty$
+    { number empty$
+        { series field.or.null }
+        { output.state mid.sentence =
+            { "number" }
+            { "Number" }
+          if$
+          number tie.or.space.connect
+          series empty$
+            { "there's a number but no series in " cite$ * warning$ }
+            { " in " * series * }
+          if$
+        }
+      if$
+    }
+    { "" }
+  if$
+}
+
+FUNCTION {format.edition}
+{ edition empty$
+    { "" }
+    { output.state mid.sentence =
+        { edition "l" change.case$ " edn." * }
+        { edition "t" change.case$ " edn." * }
+      if$
+    }
+  if$
+}
+
+INTEGERS { multiresult }
+
+FUNCTION {multi.page.check}
+{ 't :=
+  #0 'multiresult :=
+    { multiresult not
+      t empty$ not
+      and
+    }
+    { t #1 #1 substring$
+      duplicate$ "-" =
+      swap$ duplicate$ "," =
+      swap$ "+" =
+      or or
+        { #1 'multiresult := }
+        { t #2 global.max$ substring$ 't := }
+      if$
+    }
+  while$
+  multiresult
+}
+
+FUNCTION {format.pages}
+{ pages empty$
+    { "" }
+    { pages multi.page.check
+        { "" pages n.dashify tie.or.space.connect }
+        { "" pages tie.or.space.connect }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.vol}
+{ volume bold
+}
+
+FUNCTION {format.vol.num}
+{ volume bold
+number empty$
+{ }
+{ number "(" swap$ * * ")" * }
+if$
+}
+
+FUNCTION {pre.format.pages}
+{ pages empty$
+    'skip$
+    { duplicate$ empty$
+        { pop$ format.pages }
+        { " " * pages n.dashify * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.chapter.pages}
+{ chapter empty$
+    'format.pages
+    { type empty$
+        { "chapter" }
+        { type "l" change.case$ }
+      if$
+      chapter tie.or.space.connect
+      pages empty$
+        'skip$
+        { " " * format.pages * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.in.ed.booktitle}
+{ booktitle empty$
+    { "" }
+    { editor empty$
+        { "In: " booktitle emphasize * }
+        { "In " format.editors * ": " * booktitle emphasize * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {empty.misc.check}
+{ author empty$ title empty$ howpublished empty$
+  month empty$ year empty$ note empty$
+  and and and and and
+    { "all relevant fields are empty in " cite$ * warning$ }
+    'skip$
+  if$
+}
+
+FUNCTION {format.thesis.type}
+{ type empty$
+    'skip$
+    { pop$
+      type "t" change.case$
+    }
+  if$
+}
+
+FUNCTION {format.tr.number}
+{ type empty$
+    { "Technical Report" }
+    'type
+  if$
+  number empty$
+    { "t" change.case$ }
+    { number tie.or.space.connect }
+  if$
+}
+
+FUNCTION {format.article.crossref}
+{ key empty$
+    { journal empty$
+        { "need key or journal for " cite$ * " to crossref " * crossref *
+          warning$
+          ""
+        }
+        { "In {\em " journal * "\/}" * }
+      if$
+    }
+    { "In " key * }
+  if$
+  " \cite{" * crossref * "}" *
+}
+
+FUNCTION {format.crossref.editor}
+{ editor #1 "{vv~}{ll}" format.name$
+  editor num.names$ duplicate$
+  #2 >
+    { pop$ " et~al." * }
+    { #2 <
+        'skip$
+        { editor #2 "{ff }{vv }{ll}{ jj}" format.name$ "others" =
+            { " et~al." * }
+            { " and " * editor #2 "{vv~}{ll}" format.name$ * }
+          if$
+        }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.book.crossref}
+{ volume empty$
+    { "empty volume in " cite$ * "'s crossref of " * crossref * warning$
+      "In "
+    }
+    { "Volume" volume tie.or.space.connect
+      " of " *
+    }
+  if$
+  " \cite{" * crossref * "}" *
+}
+
+FUNCTION {format.incoll.inproc.crossref}
+{ editor empty$
+  editor field.or.null author field.or.null =
+  or
+    { key empty$
+        { booktitle empty$
+            { "need editor, key, or booktitle for " cite$ * " to crossref " *
+              crossref * warning$
+              ""
+            }
+            { "" }
+          if$
+        }
+        { "" }
+      if$
+    }
+    { "" }
+  if$
+  " \cite{" * crossref * "}" *
+}
+
+FUNCTION {and.the.note}
+{ note output
+  note empty$
+     'skip$
+     { add.period$ }
+  if$
+}
+
+FUNCTION {article}
+{ output.bibitem
+  format.authors "author" output.check
+  stupid.colon
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    { journal emphasize "journal" output.check
+      format.vol.num output
+      format.date parens output
+      format.pages output
+    }
+    { format.article.crossref output.nonnull
+      format.pages output
+    }
+  if$
+  and.the.note
+  fin.entry
+}
+
+FUNCTION {book}
+{ output.bibitem
+  author empty$
+    { format.editors "author and editor" output.check }
+    { format.authors output.nonnull
+      crossref missing$
+        { "author and editor" editor either.or.check }
+        'skip$
+      if$
+    }
+  if$
+  stupid.colon
+  format.btitle "title" output.check
+  new.sentence
+  crossref missing$
+    { format.edition output
+      format.bvolume output
+      new.block
+      format.number.series output
+      new.sentence
+      publisher "publisher" output.check
+      address empty$
+         'skip$
+         { insert.comma }
+      if$
+      address output
+      format.date parens output
+    }
+    { format.book.crossref output.nonnull
+    }
+  if$
+  and.the.note
+  fin.entry
+}
+
+FUNCTION {booklet}
+{ output.bibitem
+  format.authors output
+  stupid.colon
+  format.title "title" output.check
+  howpublished address new.block.checkb
+  howpublished output
+  address empty$
+     'skip$
+     { insert.comma }
+  if$
+  address output
+  format.date parens output
+  and.the.note
+  fin.entry
+}
+
+FUNCTION {inbook}
+{ output.bibitem
+  author empty$
+    { format.editors "author and editor" output.check }
+    { format.authors output.nonnull
+      crossref missing$
+        { "author and editor" editor either.or.check }
+        'skip$
+      if$
+    }
+  if$
+  stupid.colon
+  crossref missing$
+    { chapter output
+      new.block
+      format.number.series output
+      new.sentence
+      "In:" output
+      format.btitle "title" output.check
+      new.sentence
+      format.edition output
+      format.bvolume output
+      publisher "publisher" output.check
+      address empty$
+         'skip$
+         { insert.comma }
+      if$
+      address output
+      format.date parens output
+    }
+    { chapter output
+      new.block
+      format.incoll.inproc.crossref output.nonnull
+    }
+  if$
+  format.pages output
+  and.the.note
+  fin.entry
+}
+
+FUNCTION {incollection}
+{ output.bibitem
+  format.authors "author" output.check
+  stupid.colon
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    { format.in.ed.booktitle "booktitle" output.check
+      new.sentence
+      format.bvolume output
+      format.number.series output
+      new.block
+      format.edition output
+      publisher "publisher" output.check
+      address empty$
+         'skip$
+         { insert.comma }
+      if$
+      address output
+      format.date parens output
+      format.pages output
+    }
+    { format.incoll.inproc.crossref output.nonnull
+      format.chapter.pages output
+    }
+  if$
+  and.the.note
+  fin.entry
+}
+
+FUNCTION {inproceedings}
+{ output.bibitem
+  format.authors "author" output.check
+  stupid.colon
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    { format.in.ed.booktitle "booktitle" output.check
+      new.sentence
+      format.bvolume output
+      format.number.series output
+      address empty$
+        { organization publisher new.sentence.checkb
+          organization empty$
+             'skip$
+             { insert.comma }
+          if$
+          organization output
+          publisher empty$
+             'skip$
+             { insert.comma }
+          if$
+          publisher output
+          format.date parens output
+        }
+        { insert.comma
+          address output.nonnull
+          organization empty$
+             'skip$
+             { insert.comma }
+          if$
+          organization output
+          publisher empty$
+             'skip$
+             { insert.comma }
+          if$
+          publisher output
+          format.date parens output
+        }
+      if$
+    }
+    { format.incoll.inproc.crossref output.nonnull
+    }
+  if$
+  format.pages output
+  and.the.note
+  fin.entry
+}
+
+FUNCTION {conference} { inproceedings }
+
+FUNCTION {manual}
+{ output.bibitem
+  author empty$
+    { organization empty$
+        'skip$
+        { organization output.nonnull
+          address output
+        }
+      if$
+    }
+    { format.authors output.nonnull }
+  if$
+  stupid.colon
+  format.btitle "title" output.check
+  author empty$
+    { organization empty$
+        { address new.block.checka
+          address output
+        }
+        'skip$
+      if$
+    }
+    { organization address new.block.checkb
+      organization output
+      address empty$
+         'skip$
+         { insert.comma }
+      if$
+      address output
+    }
+  if$
+  new.sentence
+  format.edition output
+  format.date parens output
+  and.the.note
+  fin.entry
+}
+
+FUNCTION {mastersthesis}
+{ output.bibitem
+  format.authors "author" output.check
+  stupid.colon
+  format.title "title" output.check
+  new.block
+  "Master's thesis" format.thesis.type output.nonnull
+  school empty$
+     'skip$
+     { insert.comma }
+  if$
+  school "school" output.check
+  address empty$
+     'skip$
+     { insert.comma }
+  if$
+  address output
+  format.date parens output
+  and.the.note
+  fin.entry
+}
+
+FUNCTION {misc}
+{ output.bibitem
+  format.authors "author" output.check
+  stupid.colon
+  format.title "title" output.check
+  howpublished new.block.checka
+  howpublished output
+  format.date parens output
+  and.the.note
+  fin.entry
+  empty.misc.check
+}
+
+FUNCTION {phdthesis}
+{ output.bibitem
+  format.authors "author" output.check
+  stupid.colon
+  format.btitle "title" output.check
+  new.block
+  "PhD thesis" format.thesis.type output.nonnull
+  school empty$
+     'skip$
+     { insert.comma }
+  if$
+  school "school" output.check
+  address empty$
+     'skip$
+     { insert.comma }
+  if$
+  address output
+  format.date parens output
+  and.the.note
+  fin.entry
+}
+
+FUNCTION {proceedings}
+{ output.bibitem
+  editor empty$
+    { organization empty$
+        { "" }
+        { organization output
+          stupid.colon }
+      if$
+    }
+    { format.editors output.nonnull
+      stupid.colon
+    }
+  if$
+  format.btitle "title" output.check
+  new.block
+  crossref missing$
+    { format.in.ed.booktitle "booktitle" output.check
+      new.sentence
+      format.bvolume output
+      format.number.series output
+      address empty$
+        { organization publisher new.sentence.checkb
+          organization empty$
+             'skip$
+             { insert.comma }
+          if$
+          organization output
+          publisher empty$
+             'skip$
+             { insert.comma }
+          if$
+          publisher output
+          format.date parens output
+        }
+        { insert.comma
+          address output.nonnull
+          organization empty$
+             'skip$
+             { insert.comma }
+          if$
+          organization output
+          publisher empty$
+             'skip$
+             { insert.comma }
+          if$
+          publisher output
+          format.date parens output
+        }
+      if$
+    }
+    { format.incoll.inproc.crossref output.nonnull
+    }
+  if$
+  and.the.note
+  fin.entry
+}
+
+FUNCTION {techreport}
+{ output.bibitem
+  format.authors "author" output.check
+  stupid.colon
+  format.title "title" output.check
+  new.block
+  format.tr.number output.nonnull
+  institution empty$
+     'skip$
+     { insert.comma }
+  if$
+  institution "institution" output.check
+  address empty$
+     'skip$
+     { insert.comma }
+  if$
+  address output
+  format.date parens output
+  and.the.note
+  fin.entry
+}
+
+FUNCTION {unpublished}
+{ output.bibitem
+  format.authors "author" output.check
+  stupid.colon
+  format.title "title" output.check
+  new.block
+  note "note" output.check
+  format.date parens output
+  fin.entry
+}
+
+FUNCTION {default.type} { misc }
+
+MACRO {jan} {"January"}
+
+MACRO {feb} {"February"}
+
+MACRO {mar} {"March"}
+
+MACRO {apr} {"April"}
+
+MACRO {may} {"May"}
+
+MACRO {jun} {"June"}
+
+MACRO {jul} {"July"}
+
+MACRO {aug} {"August"}
+
+MACRO {sep} {"September"}
+
+MACRO {oct} {"October"}
+
+MACRO {nov} {"November"}
+
+MACRO {dec} {"December"}
+
+MACRO {acmcs} {"ACM Computing Surveys"}
+
+MACRO {acta} {"Acta Informatica"}
+
+MACRO {cacm} {"Communications of the ACM"}
+
+MACRO {ibmjrd} {"IBM Journal of Research and Development"}
+
+MACRO {ibmsj} {"IBM Systems Journal"}
+
+MACRO {ieeese} {"IEEE Transactions on Software Engineering"}
+
+MACRO {ieeetc} {"IEEE Transactions on Computers"}
+
+MACRO {ieeetcad}
+ {"IEEE Transactions on Computer-Aided Design of Integrated Circuits"}
+
+MACRO {ipl} {"Information Processing Letters"}
+
+MACRO {jacm} {"Journal of the ACM"}
+
+MACRO {jcss} {"Journal of Computer and System Sciences"}
+
+MACRO {scp} {"Science of Computer Programming"}
+
+MACRO {sicomp} {"SIAM Journal on Computing"}
+
+MACRO {tocs} {"ACM Transactions on Computer Systems"}
+
+MACRO {tods} {"ACM Transactions on Database Systems"}
+
+MACRO {tog} {"ACM Transactions on Graphics"}
+
+MACRO {toms} {"ACM Transactions on Mathematical Software"}
+
+MACRO {toois} {"ACM Transactions on Office Information Systems"}
+
+MACRO {toplas} {"ACM Transactions on Programming Languages and Systems"}
+
+MACRO {tcs} {"Theoretical Computer Science"}
+
+READ
+
+STRINGS { longest.label }
+
+INTEGERS { number.label longest.label.width }
+
+FUNCTION {initialize.longest.label}
+{ "" 'longest.label :=
+  #1 'number.label :=
+  #0 'longest.label.width :=
+}
+
+FUNCTION {longest.label.pass}
+{ number.label int.to.str$ 'label :=
+  number.label #1 + 'number.label :=
+  label width$ longest.label.width >
+    { label 'longest.label :=
+      label width$ 'longest.label.width :=
+    }
+    'skip$
+  if$
+}
+
+EXECUTE {initialize.longest.label}
+
+ITERATE {longest.label.pass}
+
+FUNCTION {begin.bib}
+{ preamble$ empty$
+    'skip$
+    { preamble$ write$ newline$ }
+  if$
+  "\begin{thebibliography}{"  longest.label  * "}" * write$ newline$
+}
+
+EXECUTE {begin.bib}
+
+EXECUTE {init.state.consts}
+
+ITERATE {call.type$}
+
+FUNCTION {end.bib}
+{ newline$
+  "\end{thebibliography}" write$ newline$
+}
+
+EXECUTE {end.bib}
+
+
+
diff --git a/splncsnat.bst b/splncsnat.bst
new file mode 100644
index 0000000..f808603
--- /dev/null
+++ b/splncsnat.bst
@@ -0,0 +1,1508 @@
+%% natbib-compatible BibTeX bibliography style `splncsnat'
+%%
+%% BibTeX bibliography style for use with numbered references in
+%% Springer Verlag's "Lecture Notes in Computer Science" series.
+%% (See Springer's documentation for llncs.cls for
+%% more details of the suggested reference format.)
+%%
+%% Use
+%%
+%% \documentclass{llncs}
+%% \usepackage[numbers]{natbib}
+%% \bibliographystyle{splncsnat}
+%%
+%% and cite references with (e.g.)
+%%
+%% \cite{smith77}       % to get a "[1]" in the text
+%% \citep{smith77}      % to get a "[1]" in the text
+%% \citet{smith77}      % to get a "Smith [1]" in the text
+%% \citeauthor{smith77} % to get a "Smith" in the text
+%%
+%% The changes below are inspired by similar changes made to
+%% splncs03.bst by Maurizio "Titto" Patrignani of
+%% Dipartimento di Informatica e Automazione Universita' Roma Tre.
+%% Unfortunately, splncs03.bst was not compatible with natbib (because it
+%% was not built with author-year capability).
+%%
+%% ================================================================================================
+%% MANUAL CHANGES
+%% (with respect to splncsnat-unpatched.bst produced from
+%%  splncsnat-unpatched.dbj):
+%% [ search for ++++ to find the changes ]
+%% - Emptied \urlprefix by default
+%% - Added a new.sentence command to separate with a dot booktitle and series in the inproceedings
+%% - Commented all new.block commands before notes (to separate them with a comma)
+%% ================================================================================================
+%%
+%% This is derived from `splncsnat-unpatched.bst',
+%% generated with the docstrip utility.
+%%
+%% The original source files for splncsnat-unpatched.bst were:
+%%
+%% merlin.mbs  (with options: `ay,nat,vonx,nm-rvvc,ed-rev,yr-par,aymth,note-yr,jttl-rm,volp-com,numser,ser-vol,jnm-x,btit-rm,bt-rm,edparxc,au-col,in-col,fin-bare,pp,ed,abr,mth-bare,xedn,jabr,and-com,and-com-ed,xand,url,url-nt,em-x,nfss,')
+%% ----------------------------------------
+%% *** natbib-compatible .bst file for Springer LNCS ***
+%% 
+%% Copyright 1994-2007 Patrick W Daly
+ % ===============================================================
+ % IMPORTANT NOTICE:
+ % This bibliographic style (bst) file has been generated from one or
+ % more master bibliographic style (mbs) files, listed above.
+ %
+ % This generated file can be redistributed and/or modified under the terms
+ % of the LaTeX Project Public License Distributed from CTAN
+ % archives in directory macros/latex/base/lppl.txt; either
+ % version 1 of the License, or any later version.
+ % ===============================================================
+ % Name and version information of the main mbs file:
+ % \ProvidesFile{merlin.mbs}[2007/04/24 4.20 (PWD, AO, DPC)]
+ %   For use with BibTeX version 0.99a or later
+ %-------------------------------------------------------------------
+ % This bibliography style file is intended for texts in ENGLISH
+ % This is an author-year citation style bibliography. As such, it is
+ % non-standard LaTeX, and requires a special package file to function properly.
+ % Such a package is    natbib.sty   by Patrick W. Daly
+ % The form of the \bibitem entries is
+ %   \bibitem[Jones et al.(1990)]{key}...
+ %   \bibitem[Jones et al.(1990)Jones, Baker, and Smith]{key}...
+ % The essential feature is that the label (the part in brackets) consists
+ % of the author names, as they should appear in the citation, with the year
+ % in parentheses following. There must be no space before the opening
+ % parenthesis!
+ % With natbib v5.3, a full list of authors may also follow the year.
+ % In natbib.sty, it is possible to define the type of enclosures that is
+ % really wanted (brackets or parentheses), but in either case, there must
+ % be parentheses in the label.
+ % The \cite command functions as follows:
+ %   \citet{key} ==>>                Jones et al. (1990)
+ %   \citet*{key} ==>>               Jones, Baker, and Smith (1990)
+ %   \citep{key} ==>>                (Jones et al., 1990)
+ %   \citep*{key} ==>>               (Jones, Baker, and Smith, 1990)
+ %   \citep[chap. 2]{key} ==>>       (Jones et al., 1990, chap. 2)
+ %   \citep[e.g.][]{key} ==>>        (e.g. Jones et al., 1990)
+ %   \citep[e.g.][p. 32]{key} ==>>   (e.g. Jones et al., p. 32)
+ %   \citeauthor{key} ==>>           Jones et al.
+ %   \citeauthor*{key} ==>>          Jones, Baker, and Smith
+ %   \citeyear{key} ==>>             1990
+ %---------------------------------------------------------------------
+
+ENTRY
+  { address
+    author
+    booktitle
+    chapter
+    edition
+    editor
+    eid
+    howpublished
+    institution
+    journal
+    key
+    month
+    note
+    number
+    organization
+    pages
+    publisher
+    school
+    series
+    title
+    type
+    url
+    volume
+    year
+  }
+  {}
+  { label extra.label sort.label short.list }
+INTEGERS { output.state before.all mid.sentence after.sentence after.block }
+FUNCTION {init.state.consts}
+{ #0 'before.all :=
+  #1 'mid.sentence :=
+  #2 'after.sentence :=
+  #3 'after.block :=
+}
+STRINGS { s t}
+FUNCTION {output.nonnull}
+{ 's :=
+  output.state mid.sentence =
+    { ", " * write$ }
+    { output.state after.block =
+        { add.period$ write$
+          newline$
+          "\newblock " write$
+        }
+        { output.state before.all =
+            'write$
+            { add.period$ " " * write$ }
+          if$
+        }
+      if$
+      mid.sentence 'output.state :=
+    }
+  if$
+  s
+}
+FUNCTION {output}
+{ duplicate$ empty$
+    'pop$
+    'output.nonnull
+  if$
+}
+FUNCTION {output.check}
+{ 't :=
+  duplicate$ empty$
+    { pop$ "empty " t * " in " * cite$ * warning$ }
+    'output.nonnull
+  if$
+}
+FUNCTION {fin.entry}
+{ duplicate$ empty$
+    'pop$
+    'write$
+  if$
+  newline$
+}
+
+FUNCTION {new.block}
+{ output.state before.all =
+    'skip$
+    { after.block 'output.state := }
+  if$
+}
+FUNCTION {new.sentence}
+{ output.state after.block =
+    'skip$
+    { output.state before.all =
+        'skip$
+        { after.sentence 'output.state := }
+      if$
+    }
+  if$
+}
+FUNCTION {add.blank}
+{  " " * before.all 'output.state :=
+}
+
+FUNCTION {add.colon}
+{ duplicate$ empty$
+    'skip$
+    { ":" * add.blank }
+  if$
+}
+
+FUNCTION {date.block}
+{
+  new.block
+}
+
+FUNCTION {not}
+{   { #0 }
+    { #1 }
+  if$
+}
+FUNCTION {and}
+{   'skip$
+    { pop$ #0 }
+  if$
+}
+FUNCTION {or}
+{   { pop$ #1 }
+    'skip$
+  if$
+}
+STRINGS {z}
+FUNCTION {remove.dots}
+{ 'z :=
+  ""
+  { z empty$ not }
+  { z #1 #1 substring$
+    z #2 global.max$ substring$ 'z :=
+    duplicate$ "." = 'pop$
+      { * }
+    if$
+  }
+  while$
+}
+FUNCTION {new.block.checkb}
+{ empty$
+  swap$ empty$
+  and
+    'skip$
+    'new.block
+  if$
+}
+FUNCTION {field.or.null}
+{ duplicate$ empty$
+    { pop$ "" }
+    'skip$
+  if$
+}
+FUNCTION {emphasize}
+{ skip$ }
+FUNCTION {tie.or.space.prefix}
+{ duplicate$ text.length$ #3 <
+    { "~" }
+    { " " }
+  if$
+  swap$
+}
+
+FUNCTION {capitalize}
+{ "u" change.case$ "t" change.case$ }
+
+FUNCTION {space.word}
+{ " " swap$ * " " * }
+ % Here are the language-specific definitions for explicit words.
+ % Each function has a name bbl.xxx where xxx is the English word.
+ % The language selected here is ENGLISH
+FUNCTION {bbl.and}
+{ "and"}
+
+FUNCTION {bbl.etal}
+{ "et~al." }
+
+FUNCTION {bbl.editors}
+{ "eds." }
+
+FUNCTION {bbl.editor}
+{ "ed." }
+
+FUNCTION {bbl.edby}
+{ "edited by" }
+
+FUNCTION {bbl.edition}
+{ "edn." }
+
+FUNCTION {bbl.volume}
+{ "vol." }
+
+FUNCTION {bbl.of}
+{ "of" }
+
+FUNCTION {bbl.number}
+{ "no." }
+
+FUNCTION {bbl.nr}
+{ "no." }
+
+FUNCTION {bbl.in}
+{ "in" }
+
+FUNCTION {bbl.pages}
+{ "pp." }
+
+FUNCTION {bbl.page}
+{ "p." }
+
+FUNCTION {bbl.chapter}
+{ "chap." }
+
+FUNCTION {bbl.techrep}
+{ "Tech. Rep." }
+
+FUNCTION {bbl.mthesis}
+{ "Master's thesis" }
+
+FUNCTION {bbl.phdthesis}
+{ "Ph.D. thesis" }
+
+MACRO {jan} {"Jan."}
+
+MACRO {feb} {"Feb."}
+
+MACRO {mar} {"Mar."}
+
+MACRO {apr} {"Apr."}
+
+MACRO {may} {"May"}
+
+MACRO {jun} {"Jun."}
+
+MACRO {jul} {"Jul."}
+
+MACRO {aug} {"Aug."}
+
+MACRO {sep} {"Sep."}
+
+MACRO {oct} {"Oct."}
+
+MACRO {nov} {"Nov."}
+
+MACRO {dec} {"Dec."}
+
+MACRO {acmcs} {"ACM Comput. Surv."}
+
+MACRO {acta} {"Acta Inf."}
+
+MACRO {cacm} {"Commun. ACM"}
+
+MACRO {ibmjrd} {"IBM J. Res. Dev."}
+
+MACRO {ibmsj} {"IBM Syst.~J."}
+
+MACRO {ieeese} {"IEEE Trans. Software Eng."}
+
+MACRO {ieeetc} {"IEEE Trans. Comput."}
+
+MACRO {ieeetcad}
+ {"IEEE Trans. Comput. Aid. Des."}
+
+MACRO {ipl} {"Inf. Process. Lett."}
+
+MACRO {jacm} {"J.~ACM"}
+
+MACRO {jcss} {"J.~Comput. Syst. Sci."}
+
+MACRO {scp} {"Sci. Comput. Program."}
+
+MACRO {sicomp} {"SIAM J. Comput."}
+
+MACRO {tocs} {"ACM Trans. Comput. Syst."}
+
+MACRO {tods} {"ACM Trans. Database Syst."}
+
+MACRO {tog} {"ACM Trans. Graphic."}
+
+MACRO {toms} {"ACM Trans. Math. Software"}
+
+MACRO {toois} {"ACM Trans. Office Inf. Syst."}
+
+MACRO {toplas} {"ACM Trans. Progr. Lang. Syst."}
+
+MACRO {tcs} {"Theor. Comput. Sci."}
+
+FUNCTION {bibinfo.check}
+{ swap$
+  duplicate$ missing$
+    {
+      pop$ pop$
+      ""
+    }
+    { duplicate$ empty$
+        {
+          swap$ pop$
+        }
+        { swap$
+          pop$
+        }
+      if$
+    }
+  if$
+}
+FUNCTION {bibinfo.warn}
+{ swap$
+  duplicate$ missing$
+    {
+      swap$ "missing " swap$ * " in " * cite$ * warning$ pop$
+      ""
+    }
+    { duplicate$ empty$
+        {
+          swap$ "empty " swap$ * " in " * cite$ * warning$
+        }
+        { swap$
+          pop$
+        }
+      if$
+    }
+  if$
+}
+INTEGERS { nameptr namesleft numnames }
+
+
+STRINGS  { bibinfo}
+
+FUNCTION {format.names}
+{ 'bibinfo :=
+  duplicate$ empty$ 'skip$ {
+  's :=
+  "" 't :=
+  #1 'nameptr :=
+  s num.names$ 'numnames :=
+  numnames 'namesleft :=
+    { namesleft #0 > }
+    { s nameptr
+      "{vv~}{ll}{, jj}{, f{.}.}"
+      format.name$
+      bibinfo bibinfo.check
+      't :=
+      nameptr #1 >
+        {
+          namesleft #1 >
+            { ", " * t * }
+            {
+              s nameptr "{ll}" format.name$ duplicate$ "others" =
+                { 't := }
+                { pop$ }
+              if$
+              "," *
+              t "others" =
+                {
+                  " " * bbl.etal *
+                }
+                { " " * t * }
+              if$
+            }
+          if$
+        }
+        't
+      if$
+      nameptr #1 + 'nameptr :=
+      namesleft #1 - 'namesleft :=
+    }
+  while$
+  } if$
+}
+FUNCTION {format.names.ed}
+{
+  format.names
+}
+FUNCTION {format.key}
+{ empty$
+    { key field.or.null }
+    { "" }
+  if$
+}
+
+FUNCTION {format.authors}
+{ author "author" format.names
+}
+FUNCTION {get.bbl.editor}
+{ editor num.names$ #1 > 'bbl.editors 'bbl.editor if$ }
+
+FUNCTION {format.editors}
+{ editor "editor" format.names duplicate$ empty$ 'skip$
+    {
+      " " *
+      get.bbl.editor
+   "(" swap$ * ")" *
+      *
+    }
+  if$
+}
+FUNCTION {format.note}
+{
+  url empty$
+    'skip$
+    { "\urlprefix\url{" url * "}" * output }
+  if$
+ note empty$
+    { "" }
+    { note #1 #1 substring$
+      duplicate$ "{" =
+        'skip$
+        { output.state mid.sentence =
+          { "l" }
+          { "u" }
+        if$
+        change.case$
+        }
+      if$
+      note #2 global.max$ substring$ * "note" bibinfo.check
+    }
+  if$
+}
+
+FUNCTION {format.title}
+{ title
+  duplicate$ empty$ 'skip$
+    { "t" change.case$ }
+  if$
+  "title" bibinfo.check
+}
+FUNCTION {format.full.names}
+{'s :=
+ "" 't :=
+  #1 'nameptr :=
+  s num.names$ 'numnames :=
+  numnames 'namesleft :=
+    { namesleft #0 > }
+    { s nameptr
+      "{vv~}{ll}" format.name$
+      't :=
+      nameptr #1 >
+        {
+          namesleft #1 >
+            { ", " * t * }
+            {
+              s nameptr "{ll}" format.name$ duplicate$ "others" =
+                { 't := }
+                { pop$ }
+              if$
+              t "others" =
+                {
+                  " " * bbl.etal *
+                }
+                {
+                  numnames #2 >
+                    { "," * }
+                    'skip$
+                  if$
+                  bbl.and
+                  space.word * t *
+                }
+              if$
+            }
+          if$
+        }
+        't
+      if$
+      nameptr #1 + 'nameptr :=
+      namesleft #1 - 'namesleft :=
+    }
+  while$
+}
+
+FUNCTION {author.editor.key.full}
+{ author empty$
+    { editor empty$
+        { key empty$
+            { cite$ #1 #3 substring$ }
+            'key
+          if$
+        }
+        { editor format.full.names }
+      if$
+    }
+    { author format.full.names }
+  if$
+}
+
+FUNCTION {author.key.full}
+{ author empty$
+    { key empty$
+         { cite$ #1 #3 substring$ }
+          'key
+      if$
+    }
+    { author format.full.names }
+  if$
+}
+
+FUNCTION {editor.key.full}
+{ editor empty$
+    { key empty$
+         { cite$ #1 #3 substring$ }
+          'key
+      if$
+    }
+    { editor format.full.names }
+  if$
+}
+
+FUNCTION {make.full.names}
+{ type$ "book" =
+  type$ "inbook" =
+  or
+    'author.editor.key.full
+    { type$ "proceedings" =
+        'editor.key.full
+        'author.key.full
+      if$
+    }
+  if$
+}
+
+FUNCTION {output.bibitem}
+{ newline$
+  "\bibitem[{" write$
+  label write$
+  ")" make.full.names duplicate$ short.list =
+     { pop$ }
+     { * }
+   if$
+  "}]{" * write$
+  cite$ write$
+  "}" write$
+  newline$
+  ""
+  before.all 'output.state :=
+}
+
+FUNCTION {n.dashify}
+{
+  't :=
+  ""
+    { t empty$ not }
+    { t #1 #1 substring$ "-" =
+        { t #1 #2 substring$ "--" = not
+            { "--" *
+              t #2 global.max$ substring$ 't :=
+            }
+            {   { t #1 #1 substring$ "-" = }
+                { "-" *
+                  t #2 global.max$ substring$ 't :=
+                }
+              while$
+            }
+          if$
+        }
+        { t #1 #1 substring$ *
+          t #2 global.max$ substring$ 't :=
+        }
+      if$
+    }
+  while$
+}
+
+FUNCTION {word.in}
+{ bbl.in capitalize
+  ":" *
+  " " * }
+
+FUNCTION {format.date}
+{ year "year" bibinfo.check duplicate$ empty$
+    {
+      "empty year in " cite$ * "; set to ????" * warning$
+       pop$ "????"
+    }
+    'skip$
+  if$
+  month "month" bibinfo.check duplicate$ empty$
+    'skip$
+    {
+      " " * swap$
+    }
+  if$
+  *
+  remove.dots
+  extra.label *
+  before.all 'output.state :=
+  " (" swap$ * ")" *
+}
+FUNCTION {format.btitle}
+{ title "title" bibinfo.check
+  duplicate$ empty$ 'skip$
+    {
+    }
+  if$
+}
+FUNCTION {either.or.check}
+{ empty$
+    'pop$
+    { "can't use both " swap$ * " fields in " * cite$ * warning$ }
+  if$
+}
+FUNCTION {format.bvolume}
+{ volume empty$
+    { "" }
+    { bbl.volume volume tie.or.space.prefix
+      "volume" bibinfo.check * *
+      series "series" bibinfo.check
+      duplicate$ empty$ 'pop$
+        { emphasize ", " * swap$ * }
+      if$
+      "volume and number" number either.or.check
+    }
+  if$
+}
+FUNCTION {format.number.series}
+{ volume empty$
+    { number empty$
+        { series field.or.null }
+        { output.state mid.sentence =
+            { bbl.number }
+            { bbl.number capitalize }
+          if$
+          number tie.or.space.prefix "number" bibinfo.check * *
+          series empty$
+            { "there's a number but no series in " cite$ * warning$ }
+            { bbl.in space.word *
+              series "series" bibinfo.check *
+            }
+          if$
+        }
+      if$
+    }
+    { "" }
+  if$
+}
+
+FUNCTION {format.edition}
+{ edition duplicate$ empty$ 'skip$
+    {
+      output.state mid.sentence =
+        { "l" }
+        { "t" }
+      if$ change.case$
+      "edition" bibinfo.check
+      " " * bbl.edition *
+    }
+  if$
+}
+INTEGERS { multiresult }
+FUNCTION {multi.page.check}
+{ 't :=
+  #0 'multiresult :=
+    { multiresult not
+      t empty$ not
+      and
+    }
+    { t #1 #1 substring$
+      duplicate$ "-" =
+      swap$ duplicate$ "," =
+      swap$ "+" =
+      or or
+        { #1 'multiresult := }
+        { t #2 global.max$ substring$ 't := }
+      if$
+    }
+  while$
+  multiresult
+}
+FUNCTION {format.pages}
+{ pages duplicate$ empty$ 'skip$
+    { duplicate$ multi.page.check
+        {
+          bbl.pages swap$
+          n.dashify
+        }
+        {
+          bbl.page swap$
+        }
+      if$
+      tie.or.space.prefix
+      "pages" bibinfo.check
+      * *
+    }
+  if$
+}
+FUNCTION {format.journal.pages}
+{ pages duplicate$ empty$ 'pop$
+    { swap$ duplicate$ empty$
+        { pop$ pop$ format.pages }
+        {
+          ", " *
+          swap$
+          n.dashify
+          "pages" bibinfo.check
+          *
+        }
+      if$
+    }
+  if$
+}
+FUNCTION {format.journal.eid}
+{ eid "eid" bibinfo.check
+  duplicate$ empty$ 'pop$
+    { swap$ duplicate$ empty$ 'skip$
+      {
+          ", " *
+      }
+      if$
+      swap$ *
+    }
+  if$
+}
+FUNCTION {format.vol.num.pages}
+{ volume field.or.null
+  duplicate$ empty$ 'skip$
+    {
+      "volume" bibinfo.check
+    }
+  if$
+  number "number" bibinfo.check duplicate$ empty$ 'skip$
+    {
+      swap$ duplicate$ empty$
+        { "there's a number but no volume in " cite$ * warning$ }
+        'skip$
+      if$
+      swap$
+      "(" swap$ * ")" *
+    }
+  if$ *
+  eid empty$
+    { format.journal.pages }
+    { format.journal.eid }
+  if$
+}
+
+FUNCTION {format.chapter.pages}
+{ chapter empty$
+    'format.pages
+    { type empty$
+        { bbl.chapter }
+        { type "l" change.case$
+          "type" bibinfo.check
+        }
+      if$
+      chapter tie.or.space.prefix
+      "chapter" bibinfo.check
+      * *
+      pages empty$
+        'skip$
+        { ", " * format.pages * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.booktitle}
+{
+  booktitle "booktitle" bibinfo.check
+}
+FUNCTION {format.in.ed.booktitle}
+{ format.booktitle duplicate$ empty$ 'skip$
+    {
+      editor "editor" format.names.ed duplicate$ empty$ 'pop$
+        {
+          " " *
+          get.bbl.editor
+          "(" swap$ * ") " *
+          * swap$
+          * }
+      if$
+      word.in swap$ *
+    }
+  if$
+}
+FUNCTION {format.thesis.type}
+{ type duplicate$ empty$
+    'pop$
+    { swap$ pop$
+      "t" change.case$ "type" bibinfo.check
+    }
+  if$
+}
+FUNCTION {format.tr.number}
+{ number "number" bibinfo.check
+  type duplicate$ empty$
+    { pop$ bbl.techrep }
+    'skip$
+  if$
+  "type" bibinfo.check
+  swap$ duplicate$ empty$
+    { pop$ "t" change.case$ }
+    { tie.or.space.prefix * * }
+  if$
+}
+FUNCTION {format.article.crossref}
+{
+  word.in
+  " \cite{" * crossref * "}" *
+}
+FUNCTION {format.book.crossref}
+{ volume duplicate$ empty$
+    { "empty volume in " cite$ * "'s crossref of " * crossref * warning$
+      pop$ word.in
+    }
+    { bbl.volume
+      capitalize
+      swap$ tie.or.space.prefix "volume" bibinfo.check * * bbl.of space.word *
+    }
+  if$
+  " \cite{" * crossref * "}" *
+}
+FUNCTION {format.incoll.inproc.crossref}
+{
+  word.in
+  " \cite{" * crossref * "}" *
+}
+FUNCTION {format.org.or.pub}
+{ 't :=
+  ""
+  address empty$ t empty$ and
+    'skip$
+    {
+      t empty$
+        { address "address" bibinfo.check *
+        }
+        { t *
+          address empty$
+            'skip$
+            { ", " * address "address" bibinfo.check * }
+          if$
+        }
+      if$
+    }
+  if$
+}
+FUNCTION {format.publisher.address}
+{ publisher "publisher" bibinfo.warn format.org.or.pub
+}
+
+FUNCTION {format.organization.address}
+{ organization "organization" bibinfo.check format.org.or.pub
+}
+
+FUNCTION {article}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  add.colon
+  new.block
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    {
+      journal
+      "journal" bibinfo.check
+      "journal" output.check
+      add.blank
+      format.vol.num.pages output
+      format.date "year" output.check
+    }
+    { format.article.crossref output.nonnull
+      format.pages output
+    }
+  if$
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+FUNCTION {book}
+{ output.bibitem
+  author empty$
+    { format.editors "author and editor" output.check
+      editor format.key output
+      add.colon
+    }
+    { format.authors output.nonnull
+      add.colon
+      crossref missing$
+        { "author and editor" editor either.or.check }
+        'skip$
+      if$
+    }
+  if$
+  new.block
+  format.btitle "title" output.check
+  crossref missing$
+    { format.bvolume output
+      new.block
+      new.sentence
+      format.number.series output
+      format.publisher.address output
+    }
+    {
+      new.block
+      format.book.crossref output.nonnull
+    }
+  if$
+  format.edition output
+  format.date "year" output.check
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+FUNCTION {booklet}
+{ output.bibitem
+  format.authors output
+  author format.key output
+  add.colon
+  new.block
+  format.title "title" output.check
+  new.block
+  howpublished "howpublished" bibinfo.check output
+  address "address" bibinfo.check output
+  format.date "year" output.check
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+
+FUNCTION {inbook}
+{ output.bibitem
+  author empty$
+    { format.editors "author and editor" output.check
+      editor format.key output
+      add.colon
+    }
+    { format.authors output.nonnull
+      add.colon
+      crossref missing$
+        { "author and editor" editor either.or.check }
+        'skip$
+      if$
+    }
+  if$
+  new.block
+  format.btitle "title" output.check
+  crossref missing$
+    {
+      format.bvolume output
+      format.chapter.pages "chapter and pages" output.check
+      new.block
+      new.sentence
+      format.number.series output
+      format.publisher.address output
+    }
+    {
+      format.chapter.pages "chapter and pages" output.check
+      new.block
+      format.book.crossref output.nonnull
+    }
+  if$
+  format.edition output
+  format.date "year" output.check
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+
+FUNCTION {incollection}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  add.colon
+  new.block
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    { format.in.ed.booktitle "booktitle" output.check
+      format.bvolume output
+      format.chapter.pages output
+      new.sentence
+      format.number.series output
+      format.publisher.address output
+      format.edition output
+      format.date "year" output.check
+    }
+    { format.incoll.inproc.crossref output.nonnull
+      format.chapter.pages output
+    }
+  if$
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+FUNCTION {inproceedings}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  add.colon
+  new.block
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    { format.in.ed.booktitle "booktitle" output.check
+      new.sentence % ++++ ADDED (to get period b/w booktitle and series)
+      format.bvolume output
+      format.pages output
+      new.sentence
+      format.number.series output
+      publisher empty$
+        { format.organization.address output }
+        { organization "organization" bibinfo.check output
+          format.publisher.address output
+        }
+      if$
+      format.date "year" output.check
+    }
+    { format.incoll.inproc.crossref output.nonnull
+      format.pages output
+    }
+  if$
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+FUNCTION {conference} { inproceedings }
+FUNCTION {manual}
+{ output.bibitem
+  format.authors output
+  author format.key output
+  add.colon
+  new.block
+  format.btitle "title" output.check
+  organization address new.block.checkb
+  organization "organization" bibinfo.check output
+  address "address" bibinfo.check output
+  format.edition output
+  format.date "year" output.check
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+
+FUNCTION {mastersthesis}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  add.colon
+  new.block
+  format.btitle
+  "title" output.check
+  new.block
+  bbl.mthesis format.thesis.type output.nonnull
+  school "school" bibinfo.warn output
+  address "address" bibinfo.check output
+  format.date "year" output.check
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+
+FUNCTION {misc}
+{ output.bibitem
+  format.authors output
+  author format.key output
+  add.colon
+  new.block
+  format.title output
+  new.block
+  howpublished "howpublished" bibinfo.check output
+  format.date "year" output.check
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+FUNCTION {phdthesis}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  add.colon
+  new.block
+  format.btitle
+  "title" output.check
+  new.block
+  bbl.phdthesis format.thesis.type output.nonnull
+  school "school" bibinfo.warn output
+  address "address" bibinfo.check output
+  format.date "year" output.check
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+
+FUNCTION {proceedings}
+{ output.bibitem
+  format.editors output
+  editor format.key output
+  add.colon
+  new.block
+  format.btitle "title" output.check
+  format.bvolume output
+  new.sentence
+  format.number.series output
+  publisher empty$
+    { format.organization.address output }
+    { organization "organization" bibinfo.check output
+      format.publisher.address output
+    }
+  if$
+  format.date "year" output.check
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+
+FUNCTION {techreport}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  add.colon
+  new.block
+  format.title
+  "title" output.check
+  new.block
+  format.tr.number output.nonnull
+  institution "institution" bibinfo.warn output
+  address "address" bibinfo.check output
+  format.date "year" output.check
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note output
+  fin.entry
+}
+
+FUNCTION {unpublished}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  add.colon
+  new.block
+  format.title "title" output.check
+  format.date "year" output.check
+  % new.block       ++++ REMOVED (to get comma before note)
+  format.note "note" output.check
+  fin.entry
+}
+
+FUNCTION {default.type} { misc }
+READ
+FUNCTION {sortify}
+{ purify$
+  "l" change.case$
+}
+INTEGERS { len }
+FUNCTION {chop.word}
+{ 's :=
+  'len :=
+  s #1 len substring$ =
+    { s len #1 + global.max$ substring$ }
+    's
+  if$
+}
+FUNCTION {format.lab.names}
+{ 's :=
+  "" 't :=
+  s #1 "{vv~}{ll}" format.name$
+  s num.names$ duplicate$
+  #2 >
+    { pop$
+      " " * bbl.etal *
+    }
+    { #2 <
+        'skip$
+        { s #2 "{ff }{vv }{ll}{ jj}" format.name$ "others" =
+            {
+              " " * bbl.etal *
+            }
+            { bbl.and space.word * s #2 "{vv~}{ll}" format.name$
+              * }
+          if$
+        }
+      if$
+    }
+  if$
+}
+
+FUNCTION {author.key.label}
+{ author empty$
+    { key empty$
+        { cite$ #1 #3 substring$ }
+        'key
+      if$
+    }
+    { author format.lab.names }
+  if$
+}
+
+FUNCTION {author.editor.key.label}
+{ author empty$
+    { editor empty$
+        { key empty$
+            { cite$ #1 #3 substring$ }
+            'key
+          if$
+        }
+        { editor format.lab.names }
+      if$
+    }
+    { author format.lab.names }
+  if$
+}
+
+FUNCTION {editor.key.label}
+{ editor empty$
+    { key empty$
+        { cite$ #1 #3 substring$ }
+        'key
+      if$
+    }
+    { editor format.lab.names }
+  if$
+}
+
+FUNCTION {calc.short.authors}
+{ type$ "book" =
+  type$ "inbook" =
+  or
+    'author.editor.key.label
+    { type$ "proceedings" =
+        'editor.key.label
+        'author.key.label
+      if$
+    }
+  if$
+  'short.list :=
+}
+
+FUNCTION {calc.label}
+{ calc.short.authors
+  short.list
+  "("
+  *
+  year duplicate$ empty$
+     { pop$ "????" }
+     'skip$
+  if$
+  *
+  'label :=
+}
+
+FUNCTION {sort.format.names}
+{ 's :=
+  #1 'nameptr :=
+  ""
+  s num.names$ 'numnames :=
+  numnames 'namesleft :=
+    { namesleft #0 > }
+    { s nameptr
+      "{ll{ }}{  ff{ }}{  jj{ }}"
+      format.name$ 't :=
+      nameptr #1 >
+        {
+          "   "  *
+          namesleft #1 = t "others" = and
+            { "zzzzz" * }
+            { t sortify * }
+          if$
+        }
+        { t sortify * }
+      if$
+      nameptr #1 + 'nameptr :=
+      namesleft #1 - 'namesleft :=
+    }
+  while$
+}
+
+FUNCTION {sort.format.title}
+{ 't :=
+  "A " #2
+    "An " #3
+      "The " #4 t chop.word
+    chop.word
+  chop.word
+  sortify
+  #1 global.max$ substring$
+}
+FUNCTION {author.sort}
+{ author empty$
+    { key empty$
+        { "to sort, need author or key in " cite$ * warning$
+          ""
+        }
+        { key sortify }
+      if$
+    }
+    { author sort.format.names }
+  if$
+}
+FUNCTION {author.editor.sort}
+{ author empty$
+    { editor empty$
+        { key empty$
+            { "to sort, need author, editor, or key in " cite$ * warning$
+              ""
+            }
+            { key sortify }
+          if$
+        }
+        { editor sort.format.names }
+      if$
+    }
+    { author sort.format.names }
+  if$
+}
+FUNCTION {editor.sort}
+{ editor empty$
+    { key empty$
+        { "to sort, need editor or key in " cite$ * warning$
+          ""
+        }
+        { key sortify }
+      if$
+    }
+    { editor sort.format.names }
+  if$
+}
+FUNCTION {presort}
+{ calc.label
+  label sortify
+  "    "
+  *
+  type$ "book" =
+  type$ "inbook" =
+  or
+    'author.editor.sort
+    { type$ "proceedings" =
+        'editor.sort
+        'author.sort
+      if$
+    }
+  if$
+  #1 entry.max$ substring$
+  'sort.label :=
+  sort.label
+  *
+  "    "
+  *
+  title field.or.null
+  sort.format.title
+  *
+  #1 entry.max$ substring$
+  'sort.key$ :=
+}
+
+ITERATE {presort}
+SORT
+STRINGS { last.label next.extra }
+INTEGERS { last.extra.num number.label }
+FUNCTION {initialize.extra.label.stuff}
+{ #0 int.to.chr$ 'last.label :=
+  "" 'next.extra :=
+  #0 'last.extra.num :=
+  #0 'number.label :=
+}
+FUNCTION {forward.pass}
+{ last.label label =
+    { last.extra.num #1 + 'last.extra.num :=
+      last.extra.num int.to.chr$ 'extra.label :=
+    }
+    { "a" chr.to.int$ 'last.extra.num :=
+      "" 'extra.label :=
+      label 'last.label :=
+    }
+  if$
+  number.label #1 + 'number.label :=
+}
+FUNCTION {reverse.pass}
+{ next.extra "b" =
+    { "a" 'extra.label := }
+    'skip$
+  if$
+  extra.label 'next.extra :=
+  extra.label
+  duplicate$ empty$
+    'skip$
+    { "{\natexlab{" swap$ * "}}" * }
+  if$
+  'extra.label :=
+  label extra.label * 'label :=
+}
+EXECUTE {initialize.extra.label.stuff}
+ITERATE {forward.pass}
+REVERSE {reverse.pass}
+FUNCTION {bib.sort.order}
+{ sort.label
+  "    "
+  *
+  year field.or.null sortify
+  *
+  "    "
+  *
+  title field.or.null
+  sort.format.title
+  *
+  #1 entry.max$ substring$
+  'sort.key$ :=
+}
+ITERATE {bib.sort.order}
+SORT
+FUNCTION {begin.bib}
+{ preamble$ empty$
+    'skip$
+    { preamble$ write$ newline$ }
+  if$
+  "\begin{thebibliography}{" number.label int.to.str$ * "}" *
+  write$ newline$
+  "\providecommand{\natexlab}[1]{#1}"
+  write$ newline$
+  "\providecommand{\url}[1]{\texttt{#1}}"
+  write$ newline$
+%  "\providecommand{\urlprefix}{URL }"      ++++ EMPTIED by default
+  "\providecommand{\urlprefix}{}"
+  write$ newline$
+}
+EXECUTE {begin.bib}
+EXECUTE {init.state.consts}
+ITERATE {call.type$}
+FUNCTION {end.bib}
+{ newline$
+  "\end{thebibliography}" write$ newline$
+}
+EXECUTE {end.bib}
+%% End of customized bst file
+%%
+%% End of file `splncsnat.bst'.