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Polynomial interpretations and the complexity of algorithms

Identifieur interne : 001261 ( Istex/Corpus ); précédent : 001260; suivant : 001262

Polynomial interpretations and the complexity of algorithms

Auteurs : Adam Cichon ; Pierre Lescanne

Source :

RBID : ISTEX:4F7CBBACE72DCF2E11908B1E33257F5C26BB9E0E

Abstract

Abstract: The ability to use a polynomial iterpretation to prove termination of a rewrite system naturally prompts the question as to what restriction on complexity this imposes. The main result of this paper is that a polynomial interpretation termination proof of a rewrite system R which computes a number theoretic function implies a polynomial bound on that function's rate of growth.

Url:
DOI: 10.1007/3-540-55602-8_161

Links to Exploration step

ISTEX:4F7CBBACE72DCF2E11908B1E33257F5C26BB9E0E

Le document en format XML

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