Redundancy Notions for Paramodulation with Non-monotonic Orderings
Identifieur interne : 006B45 ( Main/Exploration ); précédent : 006B44; suivant : 006B46Redundancy Notions for Paramodulation with Non-monotonic Orderings
Auteurs : Miquel Bofill [Espagne] ; Albert Rubio [Espagne]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: Recently, ordered paramodulation and Knuth-Bendix completion were shown to remain complete when using non-monotonic orderings. However, these results only implied the compatibility with too weak redundancy notions and, in particular, demodulation could not be applied at all. In this paper, we present a complete ordered paramodulation calculus compatible with powerful redundancy notions including demodulation, which strictly improves previous results. Our results can be applied as well to obtain a Knuth-Bendix completion procedure compatible with simplification techniques, which can be used for finding, whenever it exists, a convergent TRS for a given set of equations and a (possibly non-totalizable) reduction ordering.
Url:
DOI: 10.1007/978-3-540-25984-8_6
Affiliations:
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