Constrained rewriting in recognizable theories
Identifieur interne : 002F28 ( Main/Merge ); précédent : 002F27; suivant : 002F29Constrained rewriting in recognizable theories
Auteurs : Tony Bourdier [France] ; Horatiu Cirstea [France]Source :
English descriptors
Abstract
Rewriting has long been shown useful for equational reasoning but its expressive power is not always appropriate for certain situations, as for instance for specifying partial functions and exceptions or when dealing with relations over terms. That is why some generalizations of rewriting, such as ordered rewriting, class rewriting, strategic rewriting, conditional or constrained rewriting, have emerged. In particular, constraints over terms are very suitable to define sets of terms thanks to logic formulae. Most of the works on constrained rewriting focus on order, equality, disequality and membership constraints. We extend in this paper the usual notion of constrained rewrite systems by constraining rules not only with classical constraints but with any first order formula and perform rewriting according to an interpretation of functional and predicate symbols. We then show that the specification of such interpretations with tree automata offers us a framework sufficiently powerful to build an algorithm for solving a particular case of constrained matching.
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type="university">Université Nancy 2</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName><placeName><settlement type="city">Nancy</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Institut national polytechnique de Lorraine</orgName><orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName></affiliation></author></analytic></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>Pattern matching</term><term>Rewrite systems</term><term>Tree automata</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Rewriting has long been shown useful for equational reasoning but its expressive power is not always appropriate for certain situations, as for instance for specifying partial functions and exceptions or when dealing with relations over terms. That is why some generalizations of rewriting, such as ordered rewriting, class rewriting, strategic rewriting, conditional or constrained rewriting, have emerged. In particular, constraints over terms are very suitable to define sets of terms thanks to logic formulae. Most of the works on constrained rewriting focus on order, equality, disequality and membership constraints. We extend in this paper the usual notion of constrained rewrite systems by constraining rules not only with classical constraints but with any first order formula and perform rewriting according to an interpretation of functional and predicate symbols. We then show that the specification of such interpretations with tree automata offers us a framework sufficiently powerful to build an algorithm for solving a particular case of constrained matching.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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