Quasi-friendly sup-interpretations
Identifieur interne : 006B77 ( Hal/Corpus ); précédent : 006B76; suivant : 006B78Quasi-friendly sup-interpretations
Auteurs : Jean-Yves Marion ; Romain PéchouxSource :
Abstract
In a previous paper, the sup-interpretation method was proposed as a new tool to control memory resources of first order functional programs with pattern matching by static analysis. Basically, a sup-interpretation provides an upper bound on the size of function outputs. In this former work, a criterion, which can be applied to terminating as well as non-terminating programs, was developed in order to bound polynomially the stack frame size. In this paper, we suggest a new criterion which captures more algorithms computing values polynomially bounded in the size of the inputs. Since this work is related to quasi-interpretations, we compare the two notions obtaining two main features. The first one is that, given a program, we have heuristics for finding a sup-interpretation when we consider polynomials of bounded degree. The other one consists in the characterizations of the set of function computable in polynomial time and in polynomial space.
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Hal:inria-00110245Le document en format XML
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<front><div type="abstract" xml:lang="en">In a previous paper, the sup-interpretation method was proposed as a new tool to control memory resources of first order functional programs with pattern matching by static analysis. Basically, a sup-interpretation provides an upper bound on the size of function outputs. In this former work, a criterion, which can be applied to terminating as well as non-terminating programs, was developed in order to bound polynomially the stack frame size. In this paper, we suggest a new criterion which captures more algorithms computing values polynomially bounded in the size of the inputs. Since this work is related to quasi-interpretations, we compare the two notions obtaining two main features. The first one is that, given a program, we have heuristics for finding a sup-interpretation when we consider polynomials of bounded degree. The other one consists in the characterizations of the set of function computable in polynomial time and in polynomial space.</div>
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<idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno>
<idno type="stamp" n="INRIA-LORRAINE">INRIA Nancy - Grand Est</idno>
<idno type="stamp" n="LABO-LORIA-SET" p="LORIA">LABO-LORIA-SET</idno>
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<note type="peer" n="1">Yes</note>
<note type="proceedings" n="1">Yes</note>
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<sourceDesc><biblStruct><analytic><title xml:lang="it">Quasi-friendly sup-interpretations</title>
<author role="aut"><persName><forename type="first">Jean-Yves</forename>
<surname>Marion</surname>
</persName>
<idno type="halAuthorId">66160</idno>
<orgName ref="#struct-364081"></orgName>
<affiliation ref="#struct-2347"></affiliation>
</author>
<author role="aut"><persName><forename type="first">Romain</forename>
<surname>Péchoux</surname>
</persName>
<email>romain.pechoux@loria.fr</email>
<idno type="halAuthorId">66161</idno>
<orgName ref="#struct-364081"></orgName>
<affiliation ref="#struct-2347"></affiliation>
</author>
</analytic>
<monogr><meeting><title>8th International Workshop on Logic and Computational Complexity - LCC 2006 - LICS affiliated Workshop</title>
<date type="start">2006-08-10</date>
<settlement>Seattle/Etats-Unis</settlement>
</meeting>
<respStmt><resp>conferenceOrganizer</resp>
<name>James Royer</name>
</respStmt>
<imprint><date type="datePub">2006-08-10</date>
</imprint>
</monogr>
</biblStruct>
</sourceDesc>
<profileDesc><langUsage><language ident="en">English</language>
</langUsage>
<textClass><classCode scheme="halDomain" n="info.info-cc">Computer Science [cs]/Computational Complexity [cs.CC]</classCode>
<classCode scheme="halTypology" n="COMM">Conference papers</classCode>
</textClass>
<abstract xml:lang="en">In a previous paper, the sup-interpretation method was proposed as a new tool to control memory resources of first order functional programs with pattern matching by static analysis. Basically, a sup-interpretation provides an upper bound on the size of function outputs. In this former work, a criterion, which can be applied to terminating as well as non-terminating programs, was developed in order to bound polynomially the stack frame size. In this paper, we suggest a new criterion which captures more algorithms computing values polynomially bounded in the size of the inputs. Since this work is related to quasi-interpretations, we compare the two notions obtaining two main features. The first one is that, given a program, we have heuristics for finding a sup-interpretation when we consider polynomials of bounded degree. The other one consists in the characterizations of the set of function computable in polynomial time and in polynomial space.</abstract>
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