Title
Redundancy Notions for Paramodulation with Non-monotonic Orderings
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.
Year
DOI
Venue
2004
10.1007/978-3-540-25984-8_6
Lecture Notes in Artificial Intelligence
Field
DocType
Volume
Monotonic function,Discrete mathematics,Automated reasoning,Demodulation,Compatibility (mechanics),Computer science,Automated theorem proving,Algorithm,Circumscription,Redundancy (engineering),Completeness (statistics)
Conference
3097
ISSN
Citations 
PageRank 
0302-9743
3
0.45
References 
Authors
10
2
Name
Order
Citations
PageRank
Miquel Bofill114819.04
Albert Rubio222819.44