Basic superposition is complete
Identifieur interne : 00D689 ( Main/Exploration ); précédent : 00D688; suivant : 00D690Basic superposition is complete
Auteurs : Robert Nieuwenhuis [Espagne] ; Albert Rubio [Espagne]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: We define equality constrained equations and clauses and use them to prove the completeness of what we have called basic superposition: a restricted form of superposition in which only the subterms not created in previous inferences is superposed upon. We first apply our results to the equational case and define an unfailing Knuth-Bendix completion procedure that uses basic superposition as inference rule. Second, we extend the techniques to completion of full first-order clauses with equality. Moreover, we prove the refutational completeness of a new simple inference system.
Url:
DOI: 10.1007/3-540-55253-7_22
Affiliations:
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