Parallel Processing Letters (World Scientific)

@book{hawking_ellis_1973,
  place={Cambridge},
  series={Cambridge Monographs on Mathematical Physics},
  title={The Large Scale Structure of Space-Time},
  DOI={10.1017/CBO9780511524646},
  publisher={Cambridge University Press},
  author={Hawking, S. W. and Ellis, G. F. R.},
  year={1973},
  collection={Cambridge Monographs on Mathematical Physics}}

@misc{Leismathphys,
    author = "R. Leis",
    title = "Zur Entwicklung der angewandten Analysis und mathematischen Physik in den letzten hundert Jahren",
    note = " \url{https://www.iam.uni-bonn.de/fileadmin/user_upload/leis/DMV.pdf}" }

@book{ColBenh:93,
  editor    =   "Fr\'ed\'eric Benhamou and Alain Colmerauer" ,
  title     =   "Constraint {L}ogic {P}rogramming, {S}elected {R}esearch",
  publisher =   "MIT Press",
  year      =   "1993"}

@book{ArmsRace1,
  author    =   "L. F. Richardson",
  title     =   "Arms and {I}nsecurity",
  publisher =   "Boxwood",
  address   =   "Pittsburg",
  pages     =   "200--253",
  year      =   "1960"}

@book{ComplexVariables,
  author    =   "R. V. Churchill and J. W. Brown",
  title     =   "Complex {V}ariables and {A}pplications",
  publisher =   "McGraw-Hill",
  pages     =   "215--253",
  year      =   "1990",
  edition   =   "5th"}

@inproceedings{conftypical,
  author    =   "R. K. Gupta and S. D. Senturia",
  title     =   "Pull-in Time Dynamics as a Measure of Absolute Pressure",
  booktitle =   "Proc. {IEEE} Int. Workshop on
                Microelectromechanical Systems ({MEMS}'97)",
  address   =   "Nagoya, Japan",
  month     =   jan,
  year      =   "1997",
  pages     =   "290-294",
  note = "\url{https://doi.org/10.1109/MEMSYS.1997.581830}"}

@inproceedings{Moss94,
  author    =   "F. Moss",
  title     =   "Stochastic resonance: From the ice ages to the monkey's ear",
  pages     =   "205--253",
  year      =   "1994",
  crossref  =   "Weiss94",
note = "\url{https://doi.org/10.1137/1.9781611971552.ch5}"}

@proceedings{Weiss94,
  title     =   "Contem\-porary {P}roblems in {S}tatistical {P}hysics",
  booktitle =   "Contemporary {P}roblems in {S}tatistical {P}hysics",
  editor    =   "G. H. Weiss",
  publisher =   "SIAM, Philadelphia",
  year      =   "1994"}

@article{best,
    author  =   "Westbury, Bruce W.",
     title  =   "{$R$}-matrices and the magic square",
   journal  =   "J. Phys. A",
  fjournal  =   "Journal of Physics A: Mathematical and General",
    volume  =   "36",
      year  =   "2003",
    number  =   "7",
     pages  =   "1947--1959",
      issn  =   "0305-4470",
     coden  =   "JPHAC5",
   mrclass  =   "17B10",
  mrnumber  =   "1 960 703",
      note = "\url{https://doi.org/10.1088/0305-4470/36/11/501}"}

@article{pier,
    author  =   "Deligne, Pierre X. and Gross, Benedict H.",
     title  =   "On the exceptional series, and its descendants",
   journal  =   "C. R. Math. Acad. Sci. Paris",
  fjournal  =   "Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris",
    volume  =   "335",
      year  =   "2002",
    number  =   "11",
     pages  =   "877--881",
      issn  =   "1631-073X",
   mrclass  =   "20Gxx",
  mrnumber  =   "1 952 563",
note = "\url{https://doi.org/10.1016/S1631-073X(02)02590-6}"}

@article{jame,
    author  =   "Landsberg, James. M. and Manivel, L.",
     title  =   "Triality, exceptional {L}ie algebras and {D}eligne dimension formulas",
   journal  =   "Adv. Math.",
  fjournal  =   "Advances in Mathematics",
    volume  =   "171",
      year  =   "2002",
    number  =   "1",
     pages  =   "59--85",
      issn  =   "0001-8708",
     coden  =   "ADMTA4",
   mrclass  =   "17B20 (17B25)",
  mrnumber  =   "1 933 384",
mrreviewer  =   "Dmitri I. Panyushev",
note  =   "\url{https://doi.org/10.1006/aima.2002.2071}"}

@techreport{hobby1992,
     author =   "John D. Hobby",
      title =   "{A User's Manual for MetaPost}",
       year =   "1992",
      month =   "apr",
   language =   "english",
institution =   "AT\&T Bell Laboratories",
    address =   "Murray Hill, New Jersey",
       date =   "April 1992",
     number =   "162",
     npages =   "ii+88~pages"}

@techreport{CSTR116,
     author =   "Kernighan, Brian W.",
      title =   "{PIC}---{A} Graphics Language for Typesetting",
       type =   "Computing Science Tech. Rep.",
     number =   "116",
institution =   "AT\&T Bell Laboratories",
    address =   "Murray Hill, New Jersey",
       year =   "1984"}

@unpublished{VoQS,
  author    =   "Ball, Martin J. and Esling, John and Dickson, Craig",
  title     =   "{VoQS: Voice Quality Symbols}",
  note      =   "Revised to 1994",
  year      =   "1994"}

@phdthesis{Brown:1988:IEL,
  author    =   "Marcus E. Brown",
  title     =   "An Interactive Environment for Literate Programming",
  school    =   "Texas A\&M University",
  address   =   "TX, USA",
  pages     =   "ix + 102",
  month     =   "aug",
  year      =   "1988"}

@inbook{inbook,
  author    =   "D. W. Baker and N. L. Carter",
  year      =   "1972",
  editor    =   "H. C. Heard and I. Y. Borg and N. L. Carter and C. B. Raleigh",
  title     =   "Seismic {V}elocity {A}nisotropy {C}alculated for {U}ltramafic {M}inerals
                and {A}ggregates",
  booktitle =   "Flow and {F}racture of {R}ocks",
  publisher =   "Am. Geophys. Union",
  series    =   "Geophysical Monograph",
  volume    =   "16",
  pages     =   "157--166",
note  =   "\url{https://doi.org/10.1029/GM016p0157}"}

@mastersthesis{segms,
  author    =   "G[unter] S[ergei] Lodha",
  title     =   "Quantitative interpretation of airborne
                electromagnetic response for a spherical model",
  school    =   "University of Toronto",
  year      =   "1974"}

@incollection{Jones:Phoneme,
  author    =   "Jones, Daniel",
  title     =   "{The term `phoneme'}",
  editor    =   "Jones, W. E. and Laver, J.",
  booktitle =   "Phonetics in Linguistics: A Book of Reading",
  publisher =   "Longman",
  address   =   "London",
  pages     =   "187--204",
  year      =   "1973"}

@booklet{URW:kerning,
  author       = "Bill Murrey",
  title        = "Kerning on the Fly",
  howpublished = "URW Non-Plus-Ultra Typography series",
  address      = "Pittsburg",
  year         = "1991"}

@misc{netpbm,
  author    =   "Bill Davidsen",
  title     =   "{NETPBM}",
  year      =   "1993",
  note      =   "ftp://ftp.wustl.edu/graphics/graphics/packages/ {NetPBM}"}

% WSPC PPL BibTeX Style File -- version 1.0
% BibTeX version 0.99c, intended for LaTeX2e
%
% 2004/06/16  Rajesh <[email protected]>
%
% This style was made from 'abbrv.bst' with lots of tweaking to make
% it look like PPL.
%
% If you make bug fixes, improvements, etc. please send in yours
% comments and suggetions to Rajesh <[email protected]>
%
% The style followed is inhouse BiB pattern 2
%
% Copyright (C) 2004, all rights reserved.
% Copying of this file is authorized only if either
% (1) you make absolutely no changes to your copy, including name, or
% (2) if you do make changes, you name it something other than
% btxbst.doc, plain.bst, unsrt.bst, alpha.bst, abbrv.bst and ws-ppl.bst.
% This restriction helps ensure that all standard styles are identical.
% The file btxbst.doc has the documentation for this style.

ENTRY
  { address
    author
    booktitle
    chapter
    edition
    editor
    howpublished
    institution
    journal
    key
    month
    note
    number
    organization
    pages
    publisher
    school
    series
    title
    type
    volume
    year
    url
  }
  {}
  { label }

INTEGERS { output.state before.all mid.sentence after.quote after.sentence
        after.quoted.block after.block }

FUNCTION {init.state.consts}
{ #0 'before.all :=
  #1 'mid.sentence :=
  #2 'after.quote :=
  #3 'after.sentence :=
  #4 'after.quoted.block :=
  #5 'after.block :=
}

FUNCTION {disp.msg.screen} { #1 }

FUNCTION {type.msg}
{ disp.msg.screen
     { "<ws-ppl.bst>"
       top$
       "World Scientific's Bibliography Style File for PPL"
       top$
       "version 1.0 (26-3-2004)"
       top$
       "-- by Rajesh"
%       top$
%       "<Sorted version, follows inhouse bib-pattern 2>"
       top$
     }
     { skip$ }
   if$
}

STRINGS { s t }

FUNCTION {output.nonnull}
{ 's :=
  output.state mid.sentence =
    { ", " * write$ }
    { output.state after.quote =
    { " " * write$ }
    { output.state after.block =
        { add.period$ write$
          newline$
          "\newblock " write$
        }
        { output.state before.all =
        'write$
        { output.state after.quoted.block =
            { write$
              newline$
              "\newblock " 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 {blank.sep}
{
 after.quote 'output.state :=
}

FUNCTION {fin.entry}
{ output.state after.quoted.block =
    'skip$
    'add.period$
  if$
  write$
  newline$
}

FUNCTION {new.block}
{ output.state before.all =
    'skip$
    { output.state after.quote =
    { after.quoted.block 'output.state := }
    { after.block 'output.state := }
      if$
    }
  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 {field.or.null}
{ duplicate$ empty$
    { pop$ "" }
    'skip$
  if$
}

FUNCTION {emphasize}
{ duplicate$ empty$
    { pop$ "" }
    { "{\em " swap$ * "}" * }
  if$
}

FUNCTION {bold}
{ duplicate$ empty$
    { pop$ "" }
    { "{\bf " 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" =
        { " {\em et~al.}" * }
        { " and " * t * }
          if$
        }
      if$
    }
    't
      if$
      nameptr #1 + 'nameptr :=
      namesleft #1 - 'namesleft :=
    }
  while$
}

FUNCTION {format.authors}
{ author empty$
    { "" }
    { author format.names }
  if$
}

FUNCTION {format.editors}
{ editor empty$
    { "" }
    { editor format.names
      editor num.names$ #1 >
    { " (eds.)" * }
    { " (ed.)" * }
      if$
    }
  if$
}

FUNCTION {format.eeditors}
{ editor empty$
    { "" }
    { editor num.names$ #1 >
    { " eds." * }
    { " ed." * }
      if$
    editor format.names}
  if$
}

FUNCTION {format.title}
{ title empty$
    { "" }
    { "" title "t" change.case$ * "" * }
  if$
}

FUNCTION {format.title.p}
{ 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.mdate}
{ 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.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 {empty.field.to.null.string}
{ duplicate$ empty$
    { pop$ "" }
    { skip$ }
  if$
}

FUNCTION {either.or.check}
{ empty$
    'pop$
    { "can't use both " swap$ * " fields in " * cite$ * warning$ }
  if$
}

FUNCTION {format.bvolume}
{ series empty$
   { "" }
    { volume empty$
       {series *}
       {", " * series * "Vol.~" volume *}
      if$
    }
  if$
}

FUNCTION {format.number.series}
{ volume empty$
    { number empty$
    { series field.or.null }
    { output.state mid.sentence =
        { "no.~" }
        { "No.~" }
      if$
      number *
      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 {first.page.number}
{ 't :=
  ""
    { t "" =
        { #0 }
        { t #1 #1 substring$ "-" = not }
      if$
    }
    { t #1 #1 substring$ *
      t #2 global.max$ substring$ 't :=
    }
  while$
}

FUNCTION {format.pages}
{ pages empty$
    { "" }
    { pages multi.page.check
        { "" pages n.dashify tie.or.space.connect }
        { "p." pages tie.or.space.connect }
      if$
    }
  if$
}

FUNCTION {format.number}
{ number empty$
    { "" }
    { "("  number * ")" *}
  if$
}

FUNCTION {format.journal.volume.number}
{ journal empty$
    { "empty " t * " in " * cite$ * warning$ ""}
    { journal emphasize }
  if$
  volume empty$      %% warning if no volume
    { "empty volume in " cite$ * warning$ " " *}
    { " " * volume bold *}      %% make volume bold
%%    { "vol.~" volume * }
  if$
  month empty$
    { format.number *}
    'skip$
  if$
}

FUNCTION {format.series.volume.number}
{ series empty$
%%    { "empty " t * " in " * cite$ * warning$ ""}
    { "" }                  
    { series emphasize }
  if$
  volume empty$ 
    { "" *}                 
    { " " * volume bold *}  
%%    { "vol.~" volume * }
  if$
  month empty$
    { format.number *}
    'skip$
  if$
}

% following not used
FUNCTION {format.volume}
{ volume empty$
    { "" }
    { volume bold }            
%%    { "vol.~" volume * }
  if$
}

FUNCTION {format.chapter.pages}
{ chapter empty$
    'format.pages
    { type empty$
    { "ch.~" chapter * }
    { type "l" change.case$ chapter tie.or.space.connect }
      if$
      pages empty$
    'skip$
    { " " * format.pages * }
      if$
    }
  if$
}

FUNCTION {format.in.ed.sbooktitle}
{ booktitle empty$
    { "" }
    { ", in {\em " * booktitle * "\/} " *
       format.eeditors
    }
  if$
}

FUNCTION {format.in.ed.booktitle}
{ booktitle empty$
    { "" }
    { ", in {\em " * booktitle * "\/}" *
       format.eeditors
    }
  if$
}

FUNCTION {format.thesis.type}
{ type empty$
    'skip$
    { pop$
      output.state after.block =
    { type "t" change.case$ }
    { type "l" change.case$ }
      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.tr.number}
{ type empty$
    { "Tech. Rep." }
    'type
  if$
  number empty$
    { "l" change.case$ }
    { number tie.or.space.connect }
  if$
}


FUNCTION {format.paddress}
{ address empty$
    { "" }
    { "(" address * ")" * }
  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$ " {\em et~al.}" * }
    { #2 <
    'skip$
    { editor #2 "{ff }{vv }{ll}{ jj}" format.name$ "others" =
        { " {\em 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 "
    }
    { "Vol.~" volume *
      " 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$
          "" *
        }
        { "{\em " * series * "\/}" * }
      if$
    }
    { key * }
      if$
    }
    { format.crossref.editor * }
  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$
          ""
        }
        { " in {\em " booktitle * "\/}" * }   
      if$
    }
    { " in " key * }
      if$
    }
    { " in " format.crossref.editor * }   
  if$
  "\cite{" * crossref * "}" *
}

FUNCTION {push.url}
{}

FUNCTION {push.date}
% format: month year
{ 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.address.date}
{ address empty$
    {year empty$ 
        { "" }
        { push.date *} 
        if$
    }
    { "(" address * ", " * year * ")" * }
  if$
}

FUNCTION {format.school.date}
{ school empty$
    {"school is missing " cite$ * warning$
    year empty$ 
        { "" }
        { push.date *} 
        if$
    }
    { "(" school * ", " * year * ")" * }
  if$
}

FUNCTION {push.address.publisher.year}
% the whole imprint
{ address empty$
    { publisher empty$
        { url empty$
            { year empty$ 
                { "" }
                { push.date } 
              if$
            }
            { 
              push.url
              year empty$
                { skip$ }
                { ", " * push.date * ")" * }
              if$
            }
          if$
        }
      { "(" publisher *
      year empty$
            { skip$ }
            { ", " * push.date * ")" * }
          if$
        }
      if$
    }
    { 
      publisher empty$
        { skip$ }
        { "(" publisher * ", " * address * }
      if$
      year empty$
    { ")" * }
    { ", " * push.date * ")" * }
      if$
    }
  if$
}

FUNCTION {article}
{ output.bibitem
  format.authors "author" output.check
  format.title "title" output.check
  crossref missing$
    { format.journal.volume.number output
      blank.sep
      format.date "year" output.check
      blank.sep
      format.pages output
    }
    { format.article.crossref output.nonnull
      format.pages output
    }
  if$
  note output
  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$
  format.btitle "title" output.check
  crossref missing$
    { format.bvolume output
      format.number.series output
      format.edition output
      blank.sep
      push.address.publisher.year "publisher" output.check
    }
    { new.block
      format.book.crossref output.nonnull
    }
  if$
  new.block
  note output
  fin.entry
}

FUNCTION {booklet}
{ output.bibitem
  format.authors output
  title empty$
    { "empty title in " cite$ * warning$
      howpublished new.sentence.checka
    }
    { howpublished empty$ not
      address empty$ month empty$ year empty$ and and
      or
    { format.title.p output.nonnull }
    { format.title output.nonnull }
      if$
    }
  if$
  howpublished output
  blank.sep
  publisher empty$
  {format.address.date output}
  {push.address.publisher.year "publihser" output.check}
  if$
  new.block
  note output
  fin.entry
}

FUNCTION {inbook}
{ output.bibitem
  author empty$
    { format.editors "author and editor" output.check }
    { format.authors output.nonnull}
  if$
  format.btitle "title" output.check
  blank.sep
  format.in.ed.booktitle "booktitle" output.check
  crossref missing$
    { format.bvolume output
      blank.sep
      format.number.series output
      push.address.publisher.year "publisher" output.check
      address output
      blank.sep
      format.chapter.pages "chapter and pages" output.check      
    }
    { format.chapter.pages "chapter and pages" output.check
      new.block
      format.book.crossref output.nonnull
    }
  if$
  format.edition output
  new.block
  note output
  fin.entry
}

FUNCTION {incollection}
{ output.bibitem
  format.authors "author" output.check
  format.title "title" output.check
  blank.sep
  crossref missing$
    { format.in.ed.booktitle "booktitle or editor" output.check
     format.series.volume.number output
      blank.sep
      push.address.publisher.year "publisher" output.check
      blank.sep
      format.pages output
      format.edition output
    }
    { format.incoll.inproc.crossref output.nonnull
      format.pages output
    }
  if$
  new.block
  note output
  fin.entry
}

FUNCTION {inproceedings}
{ output.bibitem
  format.authors "author" output.check
  format.title "title" output.check
  blank.sep
  format.in.ed.sbooktitle output  %remove check for booktitle
  blank.sep
      journal empty$
         {format.series.volume.number output}
         {format.journal.volume.number output}
     if$
      organization output
  publisher empty$
  {format.address.date output}
  {push.address.publisher.year "publihser" output.check}
  if$
      blank.sep
      format.pages output
  new.block
  note output
  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$
  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 output
    }
  if$
  format.edition output
  format.date output
  new.block
  note output
  fin.entry
}

FUNCTION {mastersthesis}
{ output.bibitem
  format.authors "author" output.check
  format.title "title" output.check
  "Master's thesis" format.thesis.type output.nonnull
  %format.school.date "school" output.check
  school output
  blank.sep
  format.date output
  new.block
  note output
  fin.entry
}

FUNCTION {misc}
{ output.bibitem
  format.authors output
  title empty$
    { howpublished new.sentence.checka }
    { howpublished empty$ not
      month empty$ year empty$ and
      or
    { format.title.p output.nonnull }
    { format.title output.nonnull }
      if$
      blank.sep
    }
  if$
  howpublished output
  format.date output
  note output
  fin.entry
  empty.misc.check
}

FUNCTION {phdthesis}
{ output.bibitem
  format.authors "author" output.check
  format.title "title" output.check
  "PhD thesis" format.thesis.type output.nonnull
  school "school" output.check
  blank.sep
  publisher empty$
  {format.address.date output}
  {push.address.publisher.year "publihser" output.check}
  if$
  blank.sep
  format.pages output
  new.block
  note output
  fin.entry
}

FUNCTION {proceedings}
{ output.bibitem
  editor empty$
    { organization output }
    { format.editors output.nonnull }
  if$
  format.btitle "title" output.check
  blank.sep  
  format.series.volume.number output   
  editor empty$
    'skip$
    { organization output }
  if$
   push.address.publisher.year "publisher" output.check
  new.block
  note output
  fin.entry
}

FUNCTION {techreport}
{ output.bibitem
  format.authors "author" output.check
  format.title "title" output.check
  format.tr.number output.nonnull
  institution "institution" output.check
  blank.sep
  address empty$
  {format.mdate output}
  {format.address.date output}
  if$
  note output
  fin.entry
  new.block  
}

FUNCTION {unpublished}
{ output.bibitem
  format.authors "author" output.check
  format.title.p "title" output.check
  note "note" output.check
  format.date 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 ACM"}

MACRO {ibmjrd} {"IBM J. Research and Development"}

MACRO {ibmsj} {"IBM Systems~J."}

MACRO {ieeese} {"IEEE Trans. Software Engineering"}

MACRO {ieeetc} {"IEEE Trans. Computers"}

MACRO {ieeetcad} {"IEEE Trans. Computer-Aided Design"}

MACRO {ipl} {"Information Processing Letters"}

MACRO {jacm} {"J.~ACM"}

MACRO {jcss} {"J.~Computer and System Sciences"}

MACRO {scp} {"Science of Computer Programming"}

MACRO {sicomp} {"SIAM J. Computing"}

MACRO {tocs} {"ACM Trans. Computer Systems"}

MACRO {tods} {"ACM Trans. Database Systems"}

MACRO {tog} {"ACM Trans. Graphics"}

MACRO {toms} {"ACM Trans. Mathematical Software"}

MACRO {toois} {"ACM Trans. Office Information Systems"}

MACRO {toplas} {"ACM Trans. Programming Languages and Systems"}

MACRO {tcs} {"Theoretical Computer Science"}

READ

EXECUTE {type.msg}

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 {sort.format.names}
{ 's :=
  #1 'nameptr :=
  ""
  s num.names$ 'numnames :=
  numnames 'namesleft :=
    { namesleft #0 > }
    { nameptr #1 >
        { "   " * }
        { skip$ }
      if$
      s nameptr "{vv{ } }{ll{ }}{  ff{ }}{  jj{ }}" format.name$ 't :=
      nameptr numnames = t "others" = and
        { "et al" * }
        { 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 {author.organization.institution.sort}
{ author empty$
    { organization empty$
        { institution empty$
            { key empty$
                { "to sort, need author, organization, institution or key in " cite$ * warning$ "" }
                { key sortify }
              if$
            }
            { "The " #4 institution chop.word sortify }
          if$
        }
        { "The " #4 organization chop.word sortify }
      if$
    }
    { author sort.format.names }
  if$
}


FUNCTION {presort}
{ type$ "ieeetranbstctl" =
    { key empty$
        { "_" }
        { key sortify }
      if$
    }
    { type$ "book" =
      type$ "inbook" =
      or 
        { author.editor.sort }
        { type$ "proceedings" =
          type$ "periodical" =
          or
            { editor.organization.sort }
            { type$ "manual" =
              type$ "electronic" =
              type$ "misc" =
              or or
                { author.organization.sort }
                { type$ "standard" =
                   { author.organization.institution.sort }
                   { author.sort }
                 if$ 
                }
              if$
            }
          if$
        }
      if$
      "    "
      *
      year empty.field.to.null.string sortify
      *
      "    "
      *
      title empty.field.to.null.string
      sort.format.title
      *
    }
  if$
  #1 entry.max$ substring$
  'sort.key$ :=
}

%ITERATE {presort}

%SORT

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}

%%
%% End of file
%% For Support: [email protected], [email protected]
%% ws-ppl.bst (C) World Scientific Publishing Co.

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Text Area: 8in (include Runningheads) x 5in
%% ws-ppl.cls : 13-01-2026
%% Class file to use with ws-ppl.tex written in LaTeX2E. 
%% The content, structure, format and layout of this style file is the 
%% property of World Scientific Publishing Co. Pte. Ltd. 
%% Copyright 2026 by World Scientific Publishing Co. 
%% All rights are reserved.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%

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   \abovedisplayskip 6\p@ \@plus2\p@ \@minus4\p@
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\newcommand\tiny{\@setfontsize\tiny\@vpt\@vipt}
\newcommand\large{\@setfontsize\large\@xiipt{14}}%
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%
\def\title#1{\gdef\@title{{{#1}}}}
\def\subtitle#1{\titlefont :~#1}
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   \renewcommand\thefootnote{\@fnsymbol\c@footnote}%
    \def\@makefnmark{\rlap{\@textsuperscript{\normalfont\@thefnmark}}}%
    \long\def\@makefntext##1{\noindent
	\@textsuperscript{\normalfont\@thefnmark}{##1}}%
      \newpage
      \global\@topnum\z@
      \@maketitle
    \thispagestyle{plain}\@thanks
  \endgroup
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  \global\let\@author\@empty
  \global\let\@title\@empty
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  \global\let\author\relax
}
\def\@maketitle{%
  \newpage
  \null
  \vspace*{-10pt}
   \vspace*{-25pt}% to have the bylines on the beginning of the page
  \@clinebuf
  \vspace*{52pt}
  \begin{center}%
  \let\footnote \thanks
  {\titlefont\@title \par}%
  \vspace*{28pt}
  \@aabuffer\par
  \end{center}%
}
%
\def\thebepage{\thepage}
\def\theeepage{\pageref{eof}}
%
\newenvironment{history}{%
	\addvspace{-2pt plus-2pt minus-2pt}
   \authorfont\begin{center}\vskip-\lastskip
}{%
   \end{center}
	\addvspace{15pt plus2pt minus2pt}
}

\def\email#1{\it #1\par}
\def\http#1{\it http://#1\par}
\def\uurl#1{\it #1\par}
\def\received#1{Received~#1\par}
\def\revised#1{Revised~#1\par}
\def\accepted#1{Accepted~#1\par}
\def\published#1{Published~#1\par}
\def\comby#1{Communicated\ by~#1\par}

%
\def\@clinebuf{}
\def\catchline#1#2#3#4#5{\expandafter\def\expandafter\@clinebuf\expandafter
	{\@clinebuf\catchlinefont
	\noindent Parallel Processing Letters\par
	%\noindent Vol.\ {#1}, \No\ {#2} (#3)\ \thebepage--\theeepage\par
	\noindent \copyright\ World Scientific Publishing Company\par
	\noindent\vskip-\baselineskip \hphantom{#4 \hskip2em #5}
	}\relax\par
	}

%
\def\No{No.}
%
\def\@aabuffer{}
\def\author#1{\expandafter\def\expandafter\@aabuffer\expandafter
	{\@aabuffer{\authorfont{{{#1}}}}\relax\par
	\vspace*{3pt}}}
%
\def\address#1{\expandafter\def\expandafter\@aabuffer\expandafter
	{\@aabuffer{\affiliationfont{#1}}\relax\par
	\vspace*{13pt}}}
%
\def\keywords#1{\par
	\vspace*{8pt}
	{\authorfont{\leftskip18pt\rightskip\leftskip
	\noindent{\it Keywords}\/:\ #1\par}}\par}
%
\def\ccode#1{\par
	\vspace*{8pt}
	{\authorfont{\leftskip18pt\rightskip\leftskip
	\noindent #1\par}}\par}

%
\def\category#1#2{\par
	\vspace*{8pt}
	{\authorfont{\leftskip18pt\rightskip\leftskip
	\noindent{\it Categories}\/:\ #1:\ #2\par}}\par}
%
\newenvironment{abstract}{\par%
	\abstractfont
  	\begin{center}\abstractname\end{center} 
  	\noindent\leftskip18pt\rightskip18pt
}{%
  \par}
%
\newenvironment{otherinfo}{%
	\addvspace{-2pt plus-2pt minus-2pt}
   \authorfont\begin{center}%\vskip-\lastskip
}{%
   \end{center}
	\addvspace{15pt plus2pt minus2pt}
}
%
\newenvironment{dedication}{%
	\addvspace{-2pt plus-2pt minus-2pt}
   \authorfont\begin{center}%\vskip-\lastskip
}{%
   \end{center}
	\addvspace{15pt plus2pt minus2pt}
}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Local Definitions %%%%%%%%%%%%%%%%%%%%%%
%

\def\uc#1{\uppercase{#1}} 
\newcommand{\cal}{\protect\pcal} %added by elsie 14/5/98
\newcommand{\pcal}{\@fontswitch{\relax}{\mathcal}}
%
\def\mtb{\fboxsep=0pt\fbox{\phantom{e}}}
\def\breakhere{\par\vskip-\lastskip
			\pagebreak}
\def\forcebreak{\vadjust{\pagebreak}}
%
\def\thebepage{\thepage}
\def\theeepage{\pageref{eof}}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Lists %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\def\@listI{\leftmargin\leftmargini
            \listparindent\parindent
            \parsep \z@\labelsep.5em
            \topsep 6.5\p@ \@plus3\p@% \@minus2\p@
            \itemsep0\p@}
%
\let\@listi\@listI
\@listi
%
\def\@listii {\leftmargin\leftmarginii
              \labelwidth\leftmarginii
              \advance\labelwidth-\labelsep
              \topsep    3.5\p@ \@plus2\p@ \@minus\p@
              \parsep    \z@
              \itemsep\z@}
\def\@listiii{\leftmargin\leftmarginiii
              \labelwidth\leftmarginiii
              \advance\labelwidth-\labelsep
              \topsep    3.5\p@ \@plus\p@\@minus\p@
              \parsep    \z@
             % \partopsep \p@ \@plus\z@ \@minus\p@
              \itemsep0\p@}%   \topsep}
\def\@listiv {\leftmargin\leftmarginiv
              \labelwidth\leftmarginiv
              \advance\labelwidth-\labelsep}
\def\@listv  {\leftmargin\leftmarginv
              \labelwidth\leftmarginv
              \advance\labelwidth-\labelsep}
\def\@listvi {\leftmargin\leftmarginvi
              \labelwidth\leftmarginvi
              \advance\labelwidth-\labelsep}
%
\setlength\leftmargini{3pc}
\setlength\leftmarginii{2.2em}
\setlength\leftmarginiii{1.87em}
\setlength\leftmarginiv{1.7em}
\setlength\leftmarginv{1em}
\setlength\leftmarginvi{1em}
\setlength\leftmargin{\leftmargini}
\setlength\listparindent{\parindent}
\setlength  \labelsep  {.5em}
\setlength  \labelwidth{\leftmargini}
\addtolength\labelwidth{-\labelsep}
\renewcommand\theenumi{\arabic{enumi}}
\renewcommand\theenumii{\alph{enumii}}
\renewcommand\theenumiii{\roman{enumiii}}
\renewcommand\theenumiv{\Alph{enumiv}}
\newcommand\labelenumi{(\theenumi)}
\newcommand\labelenumii{(\theenumii)}
\newcommand\labelenumiii{\theenumiii.}
\newcommand\labelenumiv{\theenumiv.}
\renewcommand\p@enumii{\theenumi}
\renewcommand\p@enumiii{\theenumi(\theenumii)}
\renewcommand\p@enumiv{\p@enumiii\theenumiii}
\newcommand\labelitemi{$\m@th\bullet$}
\newcommand\labelitemii{\normalfont\bfseries --}
\newcommand\labelitemiii{$\m@th\ast$}
\newcommand\labelitemiv{$\m@th\cdot$}
%
\def\enummax#1{\setbox\tempbox=\hbox{#1\hskip\labelsep}%
  \expandafter\global\csname leftmargin\romannumeral\the\@enumdepth\endcsname\wd\tempbox}
%
\def\enumerate{\@ifnextchar[{\@enumerate}{\@enumerate[\csname label\@enumctr\endcsname]}}
%
\def\@enumerate[#1]{\ifnum \@enumdepth >3 \@toodeep\else
      \advance\@enumdepth \@ne\edef\@enumctr{enum\romannumeral\the\@enumdepth}%
      \enummax{#1}\list
      {\csname label\@enumctr\endcsname}{\usecounter
        {\@enumctr}\def\makelabel##1{\hss\llap{##1}}}\fi}
%
\let\Item\item
\newenvironment{enumeroman}{%
  \def\theenumi{\roman{enumi}}\def\theenumii{\alph{enumii}}%
  \def\labelenumi{(\theenumi)}\def\labelenumii{(\theenumii)}%
		\let\item\Item
  \begin{enumerate}%
}{%
  \end{enumerate}}
%
\newenvironment{alphlist}{%
  \def\theenumi{\alph{enumi}}\def\theenumii{\roman{enumii}}%
  \def\labelenumi{(\theenumi)}\def\labelenumii{(\theenumii)}%
		\let\item\Item
  \begin{enumerate}%
}{%
  \end{enumerate}}
%
\newenvironment{arabiclist}{%
	\def\theenumi{\arabic{enumi}}\def\theenumii{\alph{enumii}}
	\def\labelenumi{(\theenumi)}\def\labelenumii{(\theenumii)}%
	\let\item\Item
	\begin{enumerate}
	}{%
	\end{enumerate}}
%
\newenvironment{romanlist}{%
	\def\theenumi{\roman{enumi}}\def\theenumii{\alph{enumii}}
	\def\labelenumi{(\theenumi)}\def\labelenumii{(\theenumii)}%
	\let\item\Item
	\begin{enumerate}
	}{%
	\end{enumerate}}
%
\newenvironment{itemlist}{%
	\def\labelenumi{\labelitemi}
	\let\item\Item
	\begin{enumerate}
	}{%
	\end{enumerate}}
%
\newenvironment{unnumlist}{%
	\let\item\Item
  	\leftmargini2pc
   	\ifnum \@enumdepth >3 \@toodeep\else
      	\advance\@enumdepth \@ne
      	\list{}{\itemindent0pt\topsep6pt% 
              \def\makelabel##1{\hss\llap{##1}}}%
   \fi
}{%
  \endlist}

\newenvironment{quote}
               {\list{}{\rightmargin18pt\leftmargin18pt}%
                \item[]}
               {\endlist}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Sections %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\setcounter{secnumdepth}{3}
\newcounter {section}
\newcounter {subsection}[section]
\newcounter {subsubsection}[subsection]
\newcounter {paragraph}[subsubsection]
\newcounter {subparagraph}[paragraph]
\renewcommand\thesection      {\arabic{section}}
\renewcommand\thesubsection   {\thesection.\arabic{subsection}}
\renewcommand\thesubsubsection{\thesubsection .\arabic{subsubsection}}
\renewcommand\theparagraph    {\thesubsubsection.\arabic{paragraph}}
\renewcommand\thesubparagraph {\theparagraph.\arabic{subparagraph}}
%
\newcommand\section{\@startsection{section}{1}{\z@}{-18pt \@plus-3pt minus-6pt}{5pt}{\sectionfont}}
\newcommand\subsection{\@startsection{subsection}{2}{\z@}{-18pt \@plus-3pt minus-6pt}{5pt}{\subsectionfont}}
\newcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}{-18pt \@plus-3pt minus-3pt}{5pt}{\subsubsectionfont}}
\newcommand\paragraph{\@startsection{paragraph}{4}{\z@}{12pt \@plus -3pt}{-.5em}{\paragraphfont}}
\newcommand\subparagraph{\@startsection{subparagraph}{5}{\parindent}{3.25ex \@plus1ex}{-1em}{\subparagraphfont}}
%
\def\@seccntformat#1{{\upshape{\csname the#1\endcsname.}}\hskip .5em}
%
\gdef\@author{}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Floats %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\setcounter{topnumber}{3}
\def\topfraction{.98}
\setcounter{bottomnumber}{3}
\def\bottomfraction{.98}
\setcounter{totalnumber}{6}%4
\def\textfraction{.01}
\def\floatpagefraction{.98100}
\setcounter{dbltopnumber}{2}
\def\dbltopfraction{.981}
\def\dblfloatpagefraction{.99}
%
%
\newlength\abovecaptionskip
\newlength\belowcaptionskip
\setlength\abovecaptionskip{6\p@}% plus3pt minus3pt}
\setlength\belowcaptionskip{-1\p@}
%
\def\FigName{figure}%
\def\alttext#1{\relax}% 
%
\newbox\wscaptionbox
%
%\long\def\@makecaption#1#2{%
%  \ifx\FigName\@captype
%    	\vskip\abovecaptionskip
% 	\setbox\wscaptionbox\hbox{%
%	{\figurecaptionfont#1.\unskip\ignorespaces\hskip1em#2\par}}
%	\ifdim\wd\wscaptionbox>\hsize
%	{\figurecaptionfont#1.\unskip\ignorespaces\hskip1em#2\par}\par
%	\else
%	\centerline{\figurecaptionfont#1.\unskip\ignorespaces\hskip1em#2}\par
%	\fi\else\global\setbox\wscaptionbox\hbox{%
%	{\tablecaptionfont#1.\ignorespaces\hskip1em#2\par}}
%	\fi
%}
%
\long\def\@makecaption#1#2{%
  \figurecaptionfont
  \vskip\abovecaptionskip
  \sbox\@tempboxa{#1. #2}%
  \ifdim \wd\@tempboxa >\hsize
    #1. #2\par
  \else
    \global \@minipagefalse
    \hbox to \hsize{\hfil\box\@tempboxa\hfil}%
  \fi
  \vskip\belowcaptionskip}
%
\def\figurename{Fig.}
\newcounter{figure}
\renewcommand\thefigure{\@arabic\c@figure}
\def\fps@figure{htbp}
\def\ftype@figure{1}
\def\ext@figure{lof}
\def\fnum@figure{\figurename~\thefigure}
\newenvironment{figure}
               {\@float{figure}}
               {\end@float}
\newenvironment{figure*}
               {\@dblfloat{figure}}
               {\end@dblfloat}
%
\def\ArtDir{\jobname/}
%
\newcounter{table}
\def\tablename{Table}
\renewcommand\thetable{\@arabic\c@table}
\def\fps@table{htbp}
\def\ftype@table{2}
\def\ext@table{lot}
\def\fnum@table{\tablename~\thetable}
\newenvironment{table}
               {\@float{table}}
               {\end@float}
\newenvironment{table*}
               {\@dblfloat{table}}
               {\end@dblfloat}
%
\long\def\tbl#1#2{%
	\parindent\z@\ignorespaces\noindent\tablecaptionfont
	\caption{#1}%
  	\par\setbox\tempbox\hbox{\tablefont #2}%
  	\tablewd\hsize\advance\tablewd-\wd\tempbox\global\divide\tablewd\tw@
	\ifdim\wd\wscaptionbox<\wd\tempbox\centerline{\unhbox\wscaptionbox}
	\else\leftskip\tablewd\rightskip\leftskip{\unhbox\wscaptionbox}\par
	\fi\vskip5pt\centerline{\box\tempbox}
}%
%
\long\def\ttbl#1#2#3{%
	\parindent\z@
	\noindent
  	\tablecaptionfont
	\caption{#2}%
	\tablewd\hsize
	\advance\tablewd-#1
  	\global\divide\tablewd\tw@
	\ifdim \wd\wscaptionbox<#1
	\centerline{\unhbox\wscaptionbox}
	\else
  	{\leftskip\tablewd% plus1fill{}
	\rightskip\tablewd% plus1fill{}
  	\unhbox\wscaptionbox\par}
	\fi
 	\vskip-8pt
	\centerline{#3}
}%
%
\newenvironment{InTextTable}{%
 	\par\addvspace{16pt plus6pt minus6pt}%
 	\begin{center}\tablecaptionfont\noindent\ignorespaces
}{%
   	\end{center}\par\addvspace{17pt plus6pt minus6pt}}
%
\newenvironment{tabnote}{%
	\par\vskip5pt\footnotesize%
	\@ifnextchar[{\@tabnote}{\@tabnote[Note]}}{%
	\par\vskip-5pt}
\def\@tabnote[#1]{%
	\leftskip\tablewd\rightskip\leftskip {\it #1}\/:\ \ignorespaces}
%
\def\Hline{%
  \noalign{\ifnum0=`}\fi\hrule \@height 2\arrayrulewidth \futurelet
   \@tempa\@xhline}

\def\x{@{\extracolsep{\fill}}}
\def\toprule{\\[-6pt]\hline\\[-5.5pt]}
\def\colrule{\\[-7.5pt]\hline\\[-5.5pt]}
\def\botrule{\\[-7pt]\hline\\[-8.5pt]}
\def\crule#1{\\[-6pt]\cline{#1}\\[-6.5pt]}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Maths %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\setlength\arraycolsep{1.5\p@}
\setlength\tabcolsep{6\p@}
\setlength\arrayrulewidth{.4\p@}
\setlength\doublerulesep{2\p@}
\setlength\tabbingsep{\labelsep}
\skip\@mpfootins = \skip\footins
\setlength\fboxsep{3\p@}
\setlength\fboxrule{.4\p@}
\renewcommand\theequation{\arabic{equation}}
%
\setlength\columnsep{10\p@}
\setlength\columnseprule{0\p@}
%
\def\bstrut{\vrule width0pt depth5pt}
\def\tstrut{\vrule width0pt height10pt}
\jot=3pt
%
%
\renewcommand{\[}{\relax\ifmmode\@badmath\else\bgroup\let\eqnnum\relax\let\refstepeqcnt\relax\@equation\fi}
\renewcommand{\]}{\relax\ifmmode\end@equation\egroup\@endparenv\@doendpe\else\@badmath\fi}
%
\AtBeginDocument{%
\renewenvironment{equation}{\@equation}{\end@equation}
}
%
\def\refstepeqcnt{\refstepcounter{equation}}
\def\eqnnum{\displaywidth\linewidth\hbox{\@eqnnum}}
%
\def\@equation{\let\topsep\abovedisplayskip\@beginparpenalty\predisplaypenalty\@endparpenalty\postdisplaypenalty
     \refstepeqcnt
     \trivlist \item[]\leavevmode
       \hbox to\linewidth\bgroup\hfill $\m@th% $
       \displaystyle}%
\def\end@equation{$\hfill\eqnnum\egroup\endtrivlist}
%
\renewenvironment{eqnarray}{%
   \stepcounter{equation}%
   \def\@currentlabel{\p@equation\theequation}%
   \global\@eqnswtrue
   \m@th
   \global\@eqcnt\z@
   \tabskip\@centering
   \let\\\@eqncr
   $$\everycr{}\halign to\displaywidth\bgroup
       \hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel
      &\global\@eqcnt\@ne\hskip \tw@\arraycolsep \hfil${##}$\hfil
      &\global\@eqcnt\tw@ \hskip \tw@\arraycolsep
         $\displaystyle{##}$\hfil\tabskip\@centering
      &\global\@eqcnt\thr@@ \hb@xt@\z@\bgroup\hss##\egroup
         \tabskip\z@skip
      \cr}
        {%
      \@@eqncr
      \egroup
      \global\advance\c@equation\m@ne
   $$\global\@ignoretrue
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Footnote %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\renewcommand\footnoterule{%
  \kern-3\p@
  \hrule depth0pt height0pt \@width.2\columnwidth
  \kern2.6\p@}
\newcommand\@makefntext[1]{%
    \parindent 1em%
    \noindent
     \@makefnmark#1}
%
\def\@fnsymbol#1{\ensuremath{\ifcase#1\or *\or \dagger\or \ddagger\or
   	\mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger
   	\or \ddagger\ddagger \else\@ctrerr\fi}}
%
\def\thefootnote{\alph{footnote}}
\def\@makefnmark{{$^{\rm \@thefnmark}$}}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Page Style %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\mark{{}{}}
%
\def\ps@plain{%
     \let\@mkboth\@gobbletwo
     \let\@oddhead\@empty
     %\def\@oddfoot{\hfill\mbox{\lower12pt\hbox{\foliofont\thepage}}\hfill}%
      \def\@oddfoot{\hfill\mbox{\hbox{\foliofont\thepage}}\hfill}%
      \let\@evenhead\@empty
     \let\@evenfoot\@oddfoot}
%
\def\RightMark{}
%
\def\ps@headings{%
    \let\@oddfoot\@empty
    \let\@evenfoot\@empty
    \def\@evenhead{\rhfont{\upshape{\thepage}}\hskip1em\leftmark\hfill}%
    \def\@oddhead{\hfill\rhfont\rightmark\hskip1em{\upshape{\thepage}}}%
    \let\@mkboth\markboth
    \def\authormark##1{\markboth{##1}{\RightMark}}%
    \def\chaptermark##1{\gdef\RightMark{##1}\markright{##1}}}%
    %\def\sectionmark##1{\gdef\RightMark{##1}\markright{##1}}}%
%
\def\ps@myheadings{%
    \let\@oddfoot\@empty\let\@evenfoot\@empty
    \def\@evenhead{\rlap{\foliofont \thepage}\hfill{\rhfont\leftmark}\hfill}%
    \def\@oddhead{\hfill{\rhfont\rightmark}\hfill{\foliofont\thepage}}%
    \let\@mkboth\@gobbletwo
    \let\chaptermark\@gobble
    \let\sectionmark\@gobble}
%
\def\ps@pblind{%
	\let\@mkboth\@gobbletwo
	\def\@evenhead{}%
	\def\@oddhead{}
	\def\@oddfoot{\hfill\mbox{\lower8pc\hbox{}}\hfill}
   \let\@evenfoot\@oddfoot}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% theorem environments %%%%%%%%%%%%%%%%%%%%
%
%\def\@xthm#1#2{\@begintheorem{#2}{\csname the#1\endcsname}{}\ignorespaces}
%\def\@ythm#1#2[#3]{\@begintheorem{}{\csname the#1\endcsname}{#3}\ignorespaces}
%
\let\Definitionfont\upshape%
\let\Theoremfont\upshape
\let\Corollaryfont\itshape
\let\Propositionfont\itshape
\let\Lemmafont\itshape
\let\Examplefont\upshape
\let\Theoremheadfont\bfseries
\let\Corollaryheadfont\bfseries
\let\Propositionheadfont\bfseries
\let\Lemmaheadfont\bfseries
\let\Definitionheadfont\bfseries
\let\Remarkfont\upshape
\def\Exampleheadfont{\bfseries}
\def\Remarkheadfont{\bfseries}
%
\def\@xthm#1#2{\@begintheorem{#2}{\csname the#1\endcsname}{}\ignorespaces}
\def\@ythm#1#2[#3]{\@opargbegintheorem{#2}{\csname the#1\endcsname}{#3}\ignorespaces}
\def\@opargbegintheorem#1#2#3{\trivlist
      \item[\hskip \labelsep{\bfseries #1\ #2\ (#3).}]\ \csname#1font\endcsname}
%
\def\@begintheorem#1#2#3{\par\addvspace{8pt plus3pt minus2pt}%
              \noindent{\csname#1headfont\endcsname#1\ \ignorespaces#3 #2.}%
              \csname#1font\endcsname\hskip.4em\ignorespaces}
\def\@endtheorem{\par\addvspace{8pt plus3pt minus2pt}\@endparenv}
%
\newtheorem{theorem}{Theorem}%[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{lemma}{Lemma}[section]
\newtheorem{proposition}{Proposition}[section]
\newtheorem{definition}{Definition}[section]
\newtheorem{example}{Example}[section]
\newtheorem{remark}{Remark}[section]
%
\newif\iflogo
\def\prbox{\par
    \vskip-\lastskip\vskip-\baselineskip\hbox to \hsize{\hfill\fboxsep0pt\fbox{\phantom{\vrule width5pt height5pt depth0pt}}}\global\logofalse}
%
\newenvironment{proof}{%
    \par\addvspace{12pt plus3pt minus3pt}
   \global\logotrue
   \@ifnextchar[{\@proof}{\@proof[Proof]}%
   }{%
    \par\iflogo\vskip-\lastskip
    \vskip-\baselineskip\prbox\par
    \addvspace{12pt plus3pt minus3pt}\fi}
%
\def\@proof[#1]{\noindent{\normalfont\bfseries#1.}\hskip.5em\ignorespaces}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Bibliography %%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\newdimen\bibindent
\bibindent=2em
\def\@biblabel#1{[#1]}
%\def\@biblabel#1{#1.}
\newenvironment{thebibliography}[1]
     {\section*{\bibname}\bibfont%
      \list{\@biblabel{\arabic{enumiv}}}%
           {\settowidth\labelwidth{\@biblabel{#1}}%
            \leftmargin\labelwidth
	    \labelsep6pt%.33em
            \advance\leftmargin\labelsep
	    \itemsep0pt\parsep0pt
            \usecounter{enumiv}%
            \renewcommand\theenumiv{\arabic{enumiv}}}%
      \sloppy\clubpenalty4000\widowpenalty4000%
      \sfcode`\.=\@m}
     {\def\@noitemerr
       {\@latex@warning{Empty `thebibliography' environment}}%
      \endlist}
\newcommand\newblock{}
%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Appendix %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\newcounter{appendixc}
\newcounter{subappendixc}[appendixc]
\newcounter{subsubappendixc}[subappendixc]
\renewcommand{\theappendixc}{\Alph{appendixc}}
\renewcommand{\thesubappendixc}{\Alph{appendixc}.\arabic{subappendixc}}
\renewcommand{\thesubsubappendixc}
   {\Alph{appendixc}.\arabic{subappendixc}.\arabic{subsubappendixc}}

\newcommand{\appendix}[1]{
       \vspace{14pt}
       \refstepcounter{appendixc}
       \setcounter{figure}{0}
       \setcounter{table}{0}
       \setcounter{lemma}{0}
       \setcounter{theorem}{0}
       \setcounter{corollary}{0}
       \setcounter{definition}{0}
       \setcounter{equation}{0}
       \renewcommand{\thefigure}{\Alph{appendixc}\arabic{figure}}
       \renewcommand{\thetable}{\Alph{appendixc}\arabic{table}}
       \renewcommand{\theappendixc}{\Alph{appendixc}}
       \renewcommand{\thelemma}{\Alph{appendixc}.\arabic{lemma}}
       \renewcommand{\thetheorem}{\Alph{appendixc}.\arabic{theorem}}
       \renewcommand{\thedefinition}{\Alph{appendixc}.\arabic{definition}}
       \renewcommand{\thecorollary}{\Alph{appendixc}.\arabic{corollary}}
       \renewcommand{\theequation}{\Alph{appendixc}.\arabic{equation}}
       %\noindent{\sectionfont\appendixname~\theappendixc.{~\boldmath~#1}}
       \noindent{\sectionfont\appendixname~\theappendixc{~\boldmath~#1}}
       \par\vspace{5pt}\@afterheading}

\newcommand{\subappendix}[1]{\vspace{14pt}
       \refstepcounter{subappendixc}
       \noindent{\sectionfont\appendixname~\thesubappendixc.~{~\bfseries\boldmath\itshape #1}}
       \par\vspace{8pt}\@afterheading}

\newcommand{\subsubappendix}[1]{\vspace{14pt}
       \refstepcounter{subsubappendixc}
       \noindent{\appendixname~\thesubsubappendixc.~{~\subsubsectionfont #1}}
       \par\vspace{8pt}\@afterheading}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Appendix %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%For contents pages %%%%%%%%%%%%%%%%%%%%%%%%
%
\def\journalname{\uppercase{Parallel Processing Letters}}

\def\No{No.}	%added by Elsie dd 20/4/99
\def\chead#1#2#3{\par
\thispagestyle{empty}
{\centering{%
{\titlefont\journalname}\par
{\sl Vol.~#1, \No~#2 (#3)}\par
\vspace*{34pt}
\noindent {CONTENTS}\par}}
\vspace*{14pt}}
\def\centry#1#2#3{\par\bibfont\addvspace{10pt plus2pt minus2pt}
	{\rightskip4pc plus1fil
	\noindent#1\par}\par
	\vskip-\lastskip\vskip-\baselineskip
	\hbox to \hsize{\hfill#3}\par
	{\noindent\leftskip15pt{\rightskip4pc plus1fil{\ignorespaces\it#2}\par}}\par}
%
\def\ehead#1#2#3{\par\bibfont\addvspace{10pt plus2pt minus2pt}
	{\rightskip4pc plus1fil
	\noindent{\bf #1}\par}\par
	\vskip-\lastskip\vskip-\baselineskip
	\hbox to \hsize{\hfill#3}\par
	{\noindent\leftskip15pt{\rightskip4pc plus1fil{\ignorespaces\it#2}\par}}\par}
%
\def\eehead#1#2#3{\par
	\addvspace{6pt plus1pt minus1pt}
	{\bibfont\rightskip4pc plus1fil
	\noindent{\bf #1{#2}{#3}\par}
	\vspace*{4pt}}\par}
%
\def\cent#1#2#3{\par\bibfont\addvspace{10pt plus2pt minus2pt}
	{\rightskip4pc plus1fil
	\noindent#1\par}\par
	\vskip-\lastskip\vskip-\baselineskip
	\hbox to \hsize{\hfill#3}\par
	{\noindent\leftskip15pt{\rightskip4pc plus1fil{\it #2}\par}}\par}
%\def\cent#1#2#3{\par\addvspace{12pt plus2pt minus2pt}\rightskip4pc plus1fil
%	\noindent{#1}\par
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Trim Marks %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\def\wsdraftnote{\today\quad\currenttime\qquad\jobname}%
%

\def\cropmarks{\nointerlineskip%
     \vbox to 0pt{\vskip-8.6pt
	\parindent0pt\hspace*{6pt}\wsdraftnote
     \par\advance\trimheight by 2pc
     \vbox to \trimheight{\offinterlineskip\parindent0pt\vskip-2pc
     \hbox to \trimwidth{\raise2.6pc\hbox{\vrule height0pc width0pt}\raisebox{2pc}
   {\hspace*{-2.6pc}\vrule width0pc height0pt}\hfill\raisebox{2pc}
   {\vrule width0pc height0pt}\hspace*{-2.6pc}\raise2.6pc\hbox{\vrule height0pc width0pt}}\vfill
     \hbox to \trimwidth{\lower1.2pc\hbox{\vrule height0pc width0pt}\raisebox{1.4pc}
        {\hspace*{-2.6pc}\vrule width0pc height0pt}\hfill 
    \lower1.2pc\hbox{\vrule height0pc width0pt}\rlap{\hspace*{0.6pc}\raisebox{1.4pc}{\vrule width0pc height0pt}}}}}
     \vbox to 0pt{\offinterlineskip\parindent0pt\vskip\topmargin%\vskip1.3pt
     \tempdimen\normaltextheight
     \advance\tempdimen24pt
     \moveright\@themargin
     \vbox to \tempdimen{\hrule height\wsdraftrule 
     \vbox to 0pt{\vskip\headheight\vskip\headsep%\vskip3pt
                \vrule height\wsdraftrule width\textwidth}%
      \hbox to \textwidth{\vrule width\wsdraftrule \hfill\vrule height\tempdimen width\wsdraftrule}%
           \hrule height\wsdraftrule}}}%%
\def\xcropmarks{\nointerlineskip%
     \vbox to 0pt{\vskip-8.6pt
	\parindent0pt\hspace*{6pt}\wsdraftnote
     \par\advance\trimheight by 2pc
     \vbox to \trimheight{\offinterlineskip\parindent0pt\vskip-2pc
     \hbox to \trimwidth{\raise2.6pc\hbox{\vrule height0pc width0pt}\raisebox{2pc}
   {\hspace*{-2.6pc}\vrule width0pc height0pt}\hfill\raisebox{2pc}
   {\vrule width0pc height0pt}\hspace*{-2.6pc}\raise2.6pc\hbox{\vrule height0pc width0pt}}\vfill
     \hbox to \trimwidth{\lower1.2pc\hbox{\vrule height0pc width0pt}\raisebox{1.4pc}
        {\hspace*{-2.6pc}\vrule width0pc height0pt}\hfill 
    \lower1.2pc\hbox{\vrule height0pc width0pt}\rlap{\hspace*{0.6pc}\raisebox{1.4pc}{\vrule width0pc height0pt}}}}}
     \vbox to 0pt{\offinterlineskip\parindent0pt\vskip\topmargin%\vskip1.3pt
     \tempdimen\normaltextheight
     \advance\tempdimen27pt
     \moveright\@themargin
     \vbox to \tempdimen{\hrule height\wsdraftrule 
     \vbox to 0pt{\vskip\headheight\vskip\headsep%\vskip3pt
                \vrule height\wsdraftrule width\textwidth}%
      \hbox to \textwidth{\vrule width\wsdraftrule \hfill\vrule height\tempdimen width\wsdraftrule}%
           \hrule height\wsdraftrule}}}%%
%
\let\trimmarks\cropmarks
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Output Routine %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\def\@outputpage{%
\begingroup           % the \endgroup is put in by \aftergroup
  \let \protect \noexpand
  \@resetactivechars
  \let\-\@dischyph
  \let\'\@acci\let\`\@accii\let\=\@acciii
  \let\\\@normalcr
  \let\par\@@par          %% 15 Sep 87
  \shipout \vbox{%
    \set@typeset@protect
    \aftergroup \endgroup
    \aftergroup \set@typeset@protect
                                % correct? or just restore by ending
                                % the group?
  \if@specialpage
    \global\@specialpagefalse\@nameuse{ps@\@specialstyle}%
  \fi
  \if@twoside
    \ifodd\count\z@ \let\@thehead\@oddhead \let\@thefoot\@oddfoot
         \let\@themargin\oddsidemargin
    \else \let\@thehead\@evenhead
       \let\@thefoot\@evenfoot \let\@themargin\evensidemargin
    \fi
  \fi
  \reset@font
  \normalsize
  \baselineskip\z@skip \lineskip\z@skip \lineskiplimit\z@
    \@begindvi\trimmarks
    \vskip \topmargin
    \moveright\@themargin \vbox {%
      \setbox\@tempboxa \vbox to\headheight{%
        \vfil
        \color@hbox
          \normalcolor
          \hb@xt@\textwidth {%
            \let \label \@gobble
            \let \index \@gobble
            \let \glossary \@gobble %% 21 Jun 91
            \@thehead
            }%
        \color@endbox
        }%                        %% 22 Feb 87
      \dp\@tempboxa \z@
      \box\@tempboxa
      \vskip \headsep
      \box\@outputbox
      \baselineskip \footskip
      \color@hbox
        \normalcolor
        \hb@xt@\textwidth{%
          \let \label \@gobble
          \let \index \@gobble      %% 22 Feb 87
          \let \glossary \@gobble   %% 21 Jun 91
          \@thefoot
          }%
      \color@endbox
      }%
    }%
\global \@colht \textheight
\stepcounter{page}%
\let\firstmark\botmark
}

%
\def\enddocument{%
   \label{eof}
   \@enddocumenthook
   \@checkend{document}%
   \clearpage
   \begingroup
     \if@filesw
       \immediate\closeout\@mainaux
       \let\@setckpt\@gobbletwo
       \let\@newl@bel\@testdef
       \@tempswafalse
       \makeatletter \input\jobname.aux
     \fi
     \@dofilelist
     \ifdim \font@submax >\fontsubfuzz\relax
       \@font@warning{Size substitutions with differences\MessageBreak
                  up to \font@submax\space have occured.\@gobbletwo}%
     \fi
     \@defaultsubs
     \@refundefined
     \if@filesw
       \ifx \@multiplelabels \relax
         \if@tempswa
           \@latex@warning@no@line{Label(s) may have changed.
               Rerun to get cross-references right}%
         \fi
       \else
         \@multiplelabels
       \fi
     \fi
   \endgroup
   \deadcycles\z@\@@end}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Process Options %%%%%%%%%%%%%%%%%%%%%%%%
%
\pagestyle{headings}
\pagenumbering{arabic} 
\onecolumn
\frenchspacing
\flushbottom
\def\sloppy{\tolerance=100000\hfuzz=\maxdimen \vfuzz=\maxdimen}
\sloppy
\vbadness=12000
\hbadness=12000
\RequirePackage{amsfonts}
\RequirePackage{amssymb}
\RequirePackage{amsmath}
\RequirePackage{graphicx}
\endinput
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%End of file%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Text Area: 8in (include Runningheads) x 5in
%% ws-ppl.tex : 13-01-2026
%% Tex file to use with ws-ppl.cls written in LaTeX2e.
%% The content, structure, format and layout of this style file is the
%% property of World Scientific Publishing Co. Pte. Ltd.
%% Copyright 2026 by World Scientific Publishing Co.
%% All rights are reserved.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%\documentclass[wsdraft]{ws-ppl}
\documentclass{ws-ppl}

\usepackage[super]{cite}
\usepackage{xcolor}
\usepackage[verbose,hypertexnames=false]{hyperref}
\hypersetup{colorlinks=false,allbordercolors=blue,pdfborderstyle={/S/U/W 1}}
% \label, \ref and \cite commands are highly recommended

\begin{document}

\markboth{F. Author \& S. Author}{Instructions for Typesetting Camera-Ready Manuscripts}

%%%%%%%%%%%%%%%%%%%%% Publisher's Area please ignore %%%%%%%%%%%%%%%
%
\catchline{}{}{}{}{}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\title{Your paper}

\author{First Author\footnote{Typeset names in 8~pt
Times Roman. Use the footnote to indicate the present or
permanent address of the author.}}

\address{University Department, University Name, Address\\
City, State ZIP/Zone, Country\footnote{State completely without
abbreviations, the affiliation and mailing address, including country.
Typeset in 8~pt Times Italic.}}

\author{Second Author}

\address{Group, Laboratory, Address\\
City, State ZIP/Zone, Country}

\maketitle

\begin{history}
\received{(received date)}
\accepted{(accepted date)}
\published{(published date)}
\comby{Handling Editor}
\end{history}

\begin{abstract}
The abstract should summarize the context, content and conclusions of the paper in less than 200 words. It should not contain any references or displayed equations. Typeset the abstract in 8 pt Times Roman with baselineskip of 10~pt, making an indentation of 1.5 pica on the left and right margins. Typeset similarly for keywords below.
\end{abstract}

\keywords{Keyword1; keyword2; keyword3.}

\section{General Appearance}	
Contributions to {\it Parallel Processing Letters} are to be in English. Authors are encouraged to have their contribution checked for grammar. American spelling should be used. Abbreviations are allowed but should be spelled out in full when first used. Integers ten and below are to be spelled out. Italicize foreign language phrases (e.g.~Latin, French).

The text is to be typeset in 10 pt Times Roman, single spaced
with baselineskip of 13 pt. Text area (excluding running title)
is 5 inches across and 7.7 inches deep. Final pagination
and insertion of running titles will be done by the publisher.

\section{Running Heads}
Please provide a shortened runninghead (not more than eight words) for the title of your paper. This will appear on the top right-hand side of your paper.

\section{Major Headings}
Major headings should be typeset in boldface with the first
letter of important words capitalized.

\subsection{Sub-headings}
Subheadings should be typeset in bold italics, and capitalize the first letter of the first word only. Section number to be in boldface Roman.

\subsubsection{Sub-subheadings}
Sub-subheadings should be typeset in italics, and capitalize the first letter of the first word only. Section numbers to be in Roman.

\subsection{Numbering and spacing}
Sections, sub-sections and sub-subsections are numbered in Arabic. Use double spacing after major and subheadings, and single spacing after sub-subheadings.

\subsection{Lists of items}
Lists may be laid out with each item marked by a bullet:
\begin{itemlist}
\item item one,
\item item two.
\end{itemlist}

Items may also be numbered in lowercase Roman numerals:
\begin{romanlist}[(ii)]
\item item one
\item item two
\begin{romanlist}[(b)]
\item Lists within lists can be numbered with lowercase Roman letters,
\item second item.
\end{romanlist}
\end{romanlist}

\section{Equations}
Displayed equations should be numbered consecutively in each
section, with the number set flush right and enclosed in
parentheses.
\begin{equation}
\mu(n, t) = \frac{\sum^\infty_{i=1} 1(d_i < t, N(d_i) = n)}
{\int^t_{\sigma=0} 1(N(\sigma) = n)d\sigma} \label{this}
\end{equation}

Equations should be referred to in abbreviated form,
e.g.~``Eq.(\ref{this})'' or ``(\ref{this})''. In multiple-line
equations, the number should be given on the last line.

For multiline equations, prefer using \verb|align| or \verb|align*| instead of \verb|eqnarray|.
\begin{align}
g(x) & = \sum_{k=1}^{N} y_k g(x_k) \nonumber\\
& = \sum_{k=1}^{N} y_k \sum_{l=1}^{M} b_{kl} w_l \nonumber\\
& = \sum_{k=1}^{N} \sum_{l=1}^{M} b_{kl} y_k w_l
\end{align}

Displayed equations are to be centered on the page width.
Standard English letters like x are to appear as $x$
(italicized) in the text if they are used as mathematical
symbols.  Punctuation marks are used at the end of equations as
if they appeared directly in the text.

\section{Theorem Environments}

\begin{theorem}\label{thm1}
Theorems$,$ lemmas$,$ etc. are to be numbered consecutively in the
paper.
\end{theorem}

\begin{proof}
The word `Proof' should be type in boldface. Proofs
should end with\break a square box.
\end{proof}

\begin{figure}[b]
\centerline{\includegraphics[width=4.5cm]{pplf1}}
\vspace*{8pt}
\caption{Labeled tree {\it T}.}
\label{fig1}
\alttext{Description of the figure}
\end{figure}

\vspace{-8pt}
\section{Illustrations and Photographs}
Figures are to be inserted in the text nearest their first
reference. Line drawings (black and white), half-tones (gray scale
and colour images (in CMYK format for colour separation) are to be
at least of 300 dpi resolution. If the author requires the
publisher to reduce the figures, ensure that the figures (including
letterings and numbers) are large enough to be clearly seen after
reduction. If photographs are to be used, only black and white ones
are acceptable.

Figures are to be sequentially numbered in Arabic numerals. The
caption must be placed below the figure. Typeset in 8 pt Times Roman
with baselineskip of 10~pt. Use double spacing between a caption and
the text that follows immediately.

Previously published material must be accompanied by written
permission from the author and publisher.

\section{Tables}
Tables should be inserted in the text as close to the point of
reference as possible. Some space should be left above and below
the table.

Tables should be numbered sequentially in the text in Arabic
numerals.  Captions are to be centralized above the tables.
Typeset tables and captions in 8 pt Times Roman with
baselineskip of 10 pt.

\begin{table}
\tbl{Number of tests for WFF triple NA = 5, or NA = 8.}
{\begin{tabular}{@{}l c c c c c@{}}
\Hline\\[-6pt]
\multicolumn{6}{@{}c@{}}{NP}\\[3pt]
\hline\\[-6pt]
{} &{} &3 &4 &8 &10\\[3pt]
\hline\\[-6pt]
{} &\phantom03 &1200 &2000 &\phantom02500 &\phantom03000\\
NC &\phantom05 &2000 &2200 &\phantom02700 &\phantom03400\\
{} &\phantom08 &2500 &2700 &16000 &22000\\
{} &10 &3000 &3400 &22000 &28000\\[3pt]
\Hline
\end{tabular}}
\end{table}

If tables need to extend over to a second page, the continuation
of the table should be preceded by a caption, e.g.~``Table 1.
Cont'd.''

\section{References}
References in the text are to be numbered consecutively in
Arabic numerals, in the order of first appearance.  They are to
be cited within square brackets before punctuation marks,
e.g.~[1].

\section{Footnotes}
Footnotes should be numbered sequentially in superscript
lowercase Roman letters.\footnote{Footnotes should be
typeset in 8 pt Times Roman at the bottom of the page.}

\section*{Acknowledgements}
This section should come before the References.  Funding
information may also be included here.

\section*{ORCID}
You are encouraged to include in your user information the ORCID (\url{https://orcid.org/}) or register for one if you don't have it. This ID will help to identify you in the researcher community and make it easier to keep track of all your publications.
Please provide a valid ORCID here, e.g.,

\noindent Josiah Carberry - \url{https://orcid.org/0000-0002-1825-0097}

\noindent Rajesh Babu - \url{https://orcid.org/0009-0006-0415-6880}

\section*{References}
References are to be listed in the order cited in the text. Use
the style shown in the following examples. For journal names,
use the standard abbreviations. Typeset references in 9 pt Times
Roman.

\begin{thebibliography}{0}
\bibitem{1}
R. Lorentz and D. B. Benson, Deterministic and nondeterministic
flow-chart interpretations, {\it J. Comput.  System Sci.}
{\bf 27} (1983) 400--433, \url{https://doi.org/10.1016/0022-0000(83)90050-8}.

\bibitem{2}
M. J. Beeson, {\it Foundations of Constructive Mathematics}
(Springer, Berlin, 1985), \url{https://doi.org/10.1007/978-3-642-68952-9}.

\bibitem{3}
K. L. Clark, Negations as failure, in {\it Logic and Data
Bases}, eds. H. Gallaire and\break J. Winker (Plenum Press, New York,
1973), pp.~293--306, \url{https://doi.org/10.1007/978-1-4684-3384-5_11}.

\bibitem{4}
M. Joliat, A simple technique for partial elimination of unit
productions from LR({\it k}) parsers, {\it IEEE Trans.
Comput.} {\bf 27} (1976) 753--764, \url{https://doi.org/10.1109/TC.1976.1674686}.

\bibitem{5}
D. Dolve, Unanimity in an unknown and unreliable environment, in
{\it Proc. 22nd Annual Symposium on Foundations of Computer
Science}, Nashville, TN, Oct. 1981, 159--168, \url{https://doi.org/10.1109/SFCS.1981.53}.

\bibitem{6}
R. Tamassia, C. Batini and M. Talamo, An algorithm for automatic
layout of entity relationship diagrams, in {\it
Entity-Relationship Approach to Software Engineering, Proc. 3rd
Int.  Conf. on Entity-Relationship Approach}, eds. C. G. Davis,
S. Jajodia, P. A. Ng and R. T. Yeh (North-Holland, Amsterdam,
1983) 421--439.

\bibitem{7}
W. L. Gewirtz, Investigations in the theory of descriptive
complexity, Ph. D. Thesis, New York University, 1974.
\end{thebibliography}

\appendix{}
Appendixes should be used only when absolutely necessary. They
should come after the References. If there are two or more
appendixes, number them alphabetically. Number displayed
equations occurring in the Appendix in this way,
e.g.~(\ref{that}), (A.2), etc.
\begin{equation}
\mu(n, t) = \frac{\sum^\infty_{i=1} 1(d_i < t, N(d_i) = n)}
{\int^t_{\sigma=0} 1(N(\sigma) = n)d\sigma} \label{that}
\end{equation}
\end{document}

\documentclass{ws-ppl}
\usepackage[sort,compress]{cite}
\usepackage{xcolor}
\usepackage[verbose]{hyperref}
\hypersetup{colorlinks=false,allbordercolors=blue,pdfborderstyle={/S/U/W 1}}

\begin{document}

\title{BibTeXing in WSPC Bib Style}

\markboth{WSPC}{Using World Scientific's BibTeX Style File}

\maketitle

\section{Usage}

\begin{verbatim}
\documentclass{ws-ppl}
\usepackage{cite}
\usepackage{url}
\begin{document}
\section{Output}
Sample output using ws-ppl bibliography style file ...
text\cite{best,pier,jame} ...
\bibliographystyle{ws-ppl}
\bibliography{sample}
\end{document}
\end{verbatim}

\section{Output}
Sample output using ws-ppl bibliography style file

\begin{enumerate}[(13)]
\item article: see \cite{best,pier,jame}

\item proceedings: see \cite{Weiss94}

\item inproceedings: see \cite{conftypical,Moss94}

\item book: see\cite{ArmsRace1}

\item edition: see \cite{ComplexVariables}

\item editor: see \cite{ColBenh:93}

\item series: see \cite{inbook}

\item tech report: see \cite{hobby1992,CSTR116}

\item unpublished: see \cite{VoQS}

\item phd thesis: see \cite{Brown:1988:IEL}

\item masters thesis: see \cite{segms}

\item incollection: see \cite{Jones:Phoneme}

\item booklet: see Ref.~\citen{URW:kerning}
\end{enumerate}

\bibliographystyle{ws-ppl}
\bibliography{sample}

\end{document}