<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0120-419X</journal-id>
<journal-title><![CDATA[Revista Integración]]></journal-title>
<abbrev-journal-title><![CDATA[Integración - UIS]]></abbrev-journal-title>
<issn>0120-419X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-419X2014000200004</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[The work of Leslie Valiant: alle die Strassen führen nach Strassen]]></article-title>
<article-title xml:lang="es"><![CDATA[La obra de Leslie Valiant]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[MONTOYA]]></surname>
<given-names><![CDATA[J. ANDRÉS]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Nacional de Colombia Departamento de Matemáticas ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2014</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2014</year>
</pub-date>
<volume>32</volume>
<numero>2</numero>
<fpage>153</fpage>
<lpage>168</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2014000200004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2014000200004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2014000200004&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[This year Leslie VALIANT becomes sixty five years old; we celebrate his fest with this work in which we analyze some of his major achievements. We focus our attention on those of his works for which a strong influence of Volker Strassen can be easily detected. Strassen&#39;s work has had a strong and lasting influence on Valiant. It does not means, as the title could suggest, that the manyfaced, relevant and complex work of Leslie Valiant can be understood as a corollary to Strassen]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Este año Leslie VALIANT cumple 65 años y nosotros queremos celebrar este importante aniversario con este trabajo en el que se analiza su obra. Centramos nuestra atención en aquellos de sus trabajos en los que una clara influencia de Volker STRASSEN puede ser detectada. Es patente la influencia de Strassen en la obra de Valiant, pero esto no quiere decir que el trabajo de Valiant, complejo y multifacético, sea un simple corolario a la obra del primero]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Complexity]]></kwd>
<kwd lng="en"><![CDATA[algorithms]]></kwd>
<kwd lng="en"><![CDATA[parsing]]></kwd>
<kwd lng="en"><![CDATA[matrix algorithms]]></kwd>
<kwd lng="es"><![CDATA[Complejidad]]></kwd>
<kwd lng="es"><![CDATA[algoritmos]]></kwd>
<kwd lng="es"><![CDATA[análisis sintáctico]]></kwd>
<kwd lng="es"><![CDATA[algoritmos para matrices]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[   <font size="2" face="Verdana">     <p align="center"><font size="4"><i><b>The work of Leslie Valiant: alle die Strassen    <br> f&uuml;hren nach Strassen</b></i></font></p>      <p align="center">J. ANDR&Eacute;S MONTOYA<sup>*</sup>    <br>    <br> Universidad Nacional de Colombia, Departamento de Matem&aacute;ticas, Bogot&aacute;, Colombia.</p>  <hr>      <p align="justify"><b><i>Abstract.</i></b> This year Leslie VALIANT becomes sixty five years old; we celebrate his fest with this work in which we analyze some of his major achievements. We focus our attention on those of his works for which a strong influence of Volker Strassen can be easily detected. Strassen&#39;s work has had a strong and lasting influence on Valiant. It does not means, as the title could suggest, that the manyfaced, relevant and complex work of Leslie Valiant can be understood as a corollary to Strassen.</p> 	     <p align="left"><b><i>Keywords:</i></b> Complexity, algorithms, parsing, matrix algorithms.    <br> <b>MSC2010:</b> 01AXX, 03D15.</p>      <p align="center"><font size="3"><i><b>La obra de Leslie Valiant</b></i></font></p>      ]]></body>
<body><![CDATA[<p align="justify"><b><i>Resumen.</i></b> Este a&ntilde;o Leslie VALIANT cumple 65 a&ntilde;os y nosotros queremos celebrar este importante aniversario con este trabajo en el que se analiza su obra. Centramos nuestra atenci&oacute;n en aquellos de sus trabajos en los que una clara influencia de Volker STRASSEN puede ser detectada. Es patente la influencia de Strassen en la obra de Valiant, pero esto no quiere decir que el trabajo de Valiant, complejo y multifac&eacute;tico, sea un simple corolario a la obra del primero.</p> 	     <p align="left"><b><i>Palabras claves:</i></b> Complejidad, algoritmos, an&aacute;lisis sint&aacute;ctico, algoritmos para matrices.</p>  <hr>     <p align="justify">Texto Completo disponible en <a href ="pdf\rein\v32n2\v32n2a04.pdf" target="_blank">PDF</a></p> <hr>      <p align="left"><font size="3"><b><i>References</i></b></font></p>      <!-- ref --><p align="justify">[1] Angluin D. and Valiant L., &quot;Fast probabilistic algorithms for Hamiltonian circuits and matching&quot;, <i>Proceedings of STOC</i>, (1977), 30-41&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000017&pid=S0120-419X201400020000400001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify">[2] Bernstein E. and Vazirani U., &quot;Quantum complexity theory&quot;, <i>SIAM J. 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Comput.</i> 37 (2008), no. 5, 1565-1594.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000104&pid=S0120-419X201400020000400045&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>      <!-- ref --><p align="justify">[46] Vassilevska V., &quot;Multiplying matrices faster than Coopersmith-Winograd&quot;, <i>To appear in proceedings of STOC</i>, (2012).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000106&pid=S0120-419X201400020000400046&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>      <!-- ref --><p align="justify">[47] <a href="http://en.wikipedia.org/wiki/Strassen_algorithm" target="_blank">http://en.wikipedia.org/wiki/Strassen_algorithm</a> [citado el 24 de julio de 2014]&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000108&pid=S0120-419X201400020000400047&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><p align="justify"><sup>*</sup>E-mail: <a href="mailto:jamontoyaa@unal.edu.co">jamontoyaa@unal.edu.co</a>.    <br> Received: 03 February 2014, Accepted: 07 July 2014.    <br> To cite this article: J. Andr&eacute;s Montoya, The work of Leslie Valiant: alle die Strassen f&uuml;hren nach Strassen,    <br> <i>Rev. Integr. Temas Mat.</i> 32 (2014), no. 2, 153-168.</p> </font>     ]]></body>
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