Anforderungen  |   Konzepte  |   Entwurf  |   Entwicklung  |   Qualitätssicherung  |   Lebenszyklus  |   Steuerung
 
 
 
 

products/Sources/formale Sprachen/GAP/pkg/kan/doc/   (Algebra von RWTH Aachen Version 4.15.1©)  Datei vom 23.0.2024 mit Größe 7 kB image not shown  

SSL chap0.html   Sprache: HTML

 
 products/Sources/formale Sprachen/GAP/pkg/kan/doc/chap0.html


<?xml version="1.0" encoding="UTF-8"?>

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
         "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">

<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head>
<title>GAP (Kan) - Contents</title>
<meta http-equiv="content-type" content="text/html; charset=UTF-8" />
<meta name="generator" content="GAPDoc2HTML" />
<link rel="stylesheet" type="text/css" href="manual.css" />
<script src="manual.js" type="text/javascript"></script>
<script type="text/javascript">overwriteStyle();</script>
</head>
<body class="chap0"  onload="jscontent()">


<div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a>  <a href="chap1.html">1</a>  <a href="chap2.html">2</a>  <a href="chap3.html">3</a>  <a href="chapBib.html">Bib</a>  <a href="chapInd.html">Ind</a>  </div>

<div class="chlinkprevnexttop"> <a href="chap0.html">[Top of Book]</a>   <a href="chap0.html#contents">[Contents]</a>    <a href="chap1.html">[Next Chapter]</a>   </div>

<p id="mathjaxlink" class="pcenter"><a href="chap0_mj.html">[MathJax on]</a></p>
<p><a id="X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5"></a></p>
<div class="pcenter">

<h1>kan</h1>


<h2>including double coset rewriting systems</h2>

<p>
    1.37</p>

<p>
    23 January 2024
  </p>

</div>
<p><b>
    Anne Heyworth

  </b>
</p><p><b>
    Chris Wensley



  </b>
<br />Email: <span class="URL"><a href="mailto:cdwensley.maths@btinternet.com">cdwensley.maths@btinternet.com</a></span>
<br />Homepage: <span class="URL"><a href="https://github.com/cdwensley">https://github.com/cdwensley</a></span>
</p>

<p><a id="X7AA6C5737B711C89" name="X7AA6C5737B711C89"></a></p>
<h3>Abstract</h3>
<p><strong class="pkg">Kan</strong> is a <strong class="pkg">GAP</strong> package originally implemented in 1996 using the <strong class="pkg">GAP</strong> 3 language, to compute induced actions of categories, when the first author was studying for a Ph.D. in Bangor.</p>

<p>This reduced version only provides functions for the computation of normal forms of representatives of double cosets of finitely presented groups.</p>

<p><strong class="pkg">Kan</strong> became an accepted <strong class="pkg">GAP</strong> package in May 2015.</p>

<p>Bug reports, suggestions and comments are, of course, welcome. Please contact the last author at <span class="URL"><a href="mailto:cdwensley.maths@btinternet.com">cdwensley.maths@btinternet.com</a></span> or submit an issue at the GitHub repository <span class="URL"><a href="https://github.com/gap-packages/kan/issues/">https://github.com/gap-packages/kan/issues/</a></span>.</p>

<p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1"></a></p>
<h3>Copyright</h3>
<p>© 1996-2024 Anne Heyworth and Chris Wensley</p>

<p>The <strong class="pkg">Kan</strong> package is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.</p>

<p><a id="X82A988D47DFAFCFA" name="X82A988D47DFAFCFA"></a></p>
<h3>Acknowledgements</h3>
<p>This documentation was prepared using the <strong class="pkg">GAPDoc</strong> <a href="chapBib.html#biBGAPDoc">[LN17]</a> and <strong class="pkg">AutoDoc</strong> <a href="chapBib.html#biBAutoDoc">[GH17]</a> packages.</p>

<p>The procedure used to produce new releases uses the package <strong class="pkg">GitHubPagesForGAP</strong> <a href="chapBib.html#biBGitHubPagesForGAP">[Hor17]</a> and the package <strong class="pkg">ReleaseTools</strong>.</p>

<p><a id="X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8"></a></p>

<div class="contents">
<h3>Contents<a id="contents" name="contents"></a></h3>

<div class="ContChap"><a href="chap1.html#X7DFB63A97E67C0A1">1 <span class="Heading">Introduction</span></a>
</div>
<div class="ContChap"><a href="chap2.html#X7F197C8D835A6F45">2 <span class="Heading">Double Coset Rewriting Systems</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X7CA8FCFD81AA1890">2.1 <span class="Heading">Rewriting Systems</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X87A3823483E4FF86">2.1-1 KnuthBendixRewritingSystem</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7AF0265982B42E47">2.1-2 NextWord</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X80B18B248603B3D6">2.2 <span class="Heading">Example 2 -- free product of two cyclic groups</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X825D1F4D85DE122D">2.2-1 DoubleCosetRewritingSystem</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X82E14C4284D89ADF">2.2-2 DisplayAsString</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X83FF05087E7B133A">2.2-3 WordAcceptorOfReducedRws</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X82FE46C27FE55A84">2.3 <span class="Heading">Example 3 -- the trefoil group</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X83DE506B828F4B0D">2.3-1 PartialDoubleCosetRewritingSystem</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X7ED711187E2ECAC7">2.4 <span class="Heading">Example 4 -- an infinite rewriting system</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X8722C57284F51940">2.4-1 KBMagRewritingSystem</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X815C08FD87D014B5">2.4-2 DCrules</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X84B36973833F3B54">2.4-3 WordToString</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap3.html#X810C43BC7F63C4B4">3 <span class="Heading">Development History</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3.html#X8192EA4C7B7CC5CD">3.1 <span class="Heading">Versions of the package</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3.html#X83D1530487593182">3.2 <span class="Heading">What needs doing next?</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3.html#X852CC057809CE3EE">3.2-1 DoubleCosetsAutomaton</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chapBib.html"><span class="Heading">References</span></a></div>
<div class="ContChap"><a href="chapInd.html"><span class="Heading">Index</span></a></div>
<br />
</div>

<div class="chlinkprevnextbot"> <a href="chap0.html">[Top of Book]</a>   <a href="chap0.html#contents">[Contents]</a>    <a href="chap1.html">[Next Chapter]</a>   </div>


<div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a>  <a href="chap1.html">1</a>  <a href="chap2.html">2</a>  <a href="chap3.html">3</a>  <a href="chapBib.html">Bib</a>  <a href="chapInd.html">Ind</a>  </div>

<hr />
<p class="foot">generated by <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc">GAPDoc2HTML</a></p>
</body>
</html>

99%


¤ Dauer der Verarbeitung: 0.15 Sekunden  (vorverarbeitet)  ¤

*© Formatika GbR, Deutschland




Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.





                                                                                                                                                                                                                                                                                                                                                                                                     

Neuigkeiten

     Aktuelles
     Motto des Tages

Software

     Produkte
     Quellcodebibliothek

Aktivitäten

     Artikel über Sicherheit
     Anleitung zur Aktivierung von SSL

Muße

     Gedichte
     Musik
     Bilder
Jenseits des Üblichen ....

Besucherstatistik

Besucherstatistik

Monitoring

Montastic status badge