Use of logical models for proving infeasibility in term rewriting
[EN] Given a (Conditional) Rewrite System R and terms s and t, we consider the following problem: is there a substitution a instantiating the variables in s and t such that the reachability test sigma(s) -> *(R) sigma(t) succeeds? If such a substitution does not exist, we say that the problem...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/121414 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/121414 |
| Access Level: | acceso abierto |
| Palavra-chave: | Conditional rewriting Confluence Dependency graph Operational termination LENGUAJES Y SISTEMAS INFORMATICOS |
| Resumo: | [EN] Given a (Conditional) Rewrite System R and terms s and t, we consider the following problem: is there a substitution a instantiating the variables in s and t such that the reachability test sigma(s) -> *(R) sigma(t) succeeds? If such a substitution does not exist, we say that the problem is infeasible; otherwise, we call it feasible. Similarly, we can consider reducibility, involving a single rewriting step. In term rewriting, a number of important problems involve such infeasibility tests (e.g., confluence and termination analysis). We show how to recast infeasibility tests into the problem of finding a model of a set of (first-order) sentences representing the operational semantics of R together with some additional sentences representing the considered property which is formulated as an infeasibility test. (C) 2018 Elsevier B.V. All rights reserved. |
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