Synthesis of Quasi-interpretations
Identifieur interne : 004967 ( Hal/Corpus ); précédent : 004966; suivant : 004968Synthesis of Quasi-interpretations
Auteurs : Guillaume Bonfante ; Jean-Yves Marion ; Jean-Yves Moyen ; Romain PéchouxSource :
English descriptors
Abstract
This paper presents complexity results by showing that the synthesis of MaxPoly quasi-interpretations over reals is decidable in exponential time with fixed polynomial degrees and fixed max-degree and that the synthesis ofMaxPlus quasi-interpretations over reals is NPtime-complete with fixed multiplicative degrees and fixed max-degree. Quasi-interpretations are a tool that allows to control resources like the runtime, the runspace or the size of a result in a program execution. Quasi-interpretations assign to each program symbol a numerical function which is compatible with the computational semantics and roughly speaking provide an upper bound on sizes of intermediate values computed.
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<front><div type="abstract" xml:lang="en">This paper presents complexity results by showing that the synthesis of MaxPoly quasi-interpretations over reals is decidable in exponential time with fixed polynomial degrees and fixed max-degree and that the synthesis ofMaxPlus quasi-interpretations over reals is NPtime-complete with fixed multiplicative degrees and fixed max-degree. Quasi-interpretations are a tool that allows to control resources like the runtime, the runspace or the size of a result in a program execution. Quasi-interpretations assign to each program symbol a numerical function which is compatible with the computational semantics and roughly speaking provide an upper bound on sizes of intermediate values computed.</div>
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