InforLorV4, Hal, Curation, bibRecord, 006B77

Quasi-friendly sup-interpretations

Identifieur interne : 006B77 ( Hal/Curation ); précédent : 006B76; suivant : 006B78

Quasi-friendly sup-interpretations

Auteurs : Jean-Yves Marion [France] ; Romain Péchoux [France]

Source :

RBID : Hal:inria-00110245

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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https://hal.inria.fr/inria-00110245

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Le 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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<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>
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<idno type="halAuthorId">66160</idno>
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<author role="aut"><persName><forename type="first">Romain</forename>
<surname>Péchoux</surname>
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<email>romain.pechoux@loria.fr</email>
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<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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Quasi-friendly sup-interpretations

Quasi-friendly sup-interpretations

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