Inductive Proof Search Modulo - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2007

Inductive Proof Search Modulo

Abstract

We present an original narrowing-based proof search method for inductive theorems in equational rewrite theories given by a rewrite system R and a set E of equalities. It has the specificity to be grounded on deduction modulo and to rely on narrowing to provide both induction variables and instantiation schemas. Whenever the equational rewrite system R,E has good properties of termination, sufficient completeness, and when E is constructor and variable preserving, narrowing at defined-innermost positions leads to consider only unifiers which are constructor substitutions. This is especially interesting for associative and associative-commutative theories for which the general proof search system is refined. The method is shown to be sound and refutationaly complete.
Fichier principal
Vignette du fichier
ftp-07.pdf (219.52 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00187458 , version 1 (14-11-2007)

Identifiers

  • HAL Id : inria-00187458 , version 1

Cite

Fabrice Nahon, Claude Kirchner, Hélène Kirchner. Inductive Proof Search Modulo. 6th International Workshop on First-Order Theorem Proving - FTP 2007, Sep 2007, Liverpool, United Kingdom. pp.4-19. ⟨inria-00187458⟩
236 View
102 Download

Share

Gmail Facebook Twitter LinkedIn More