Synthesis of Quasi-interpretations

Guillaume Bonfante 1 Jean-Yves Marion 1 Jean-Yves Moyen 1 Romain Péchoux 1
1 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
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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Submitted on : Thursday, November 10, 2005 - 11:31:59 PM
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Guillaume Bonfante, Jean-Yves Marion, Jean-Yves Moyen, Romain Péchoux. Synthesis of Quasi-interpretations. Seventh International Workshop on Logic and Computational Complexity - LCC 2005, Jun 2005, Chicago/USA, 2005. 〈inria-00000660〉

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