1995 | ReviewPaper | Buchkapitel
Associative-commutative superposition
verfasst von : Leo Bachmair, Harald Ganzinger
Erschienen in: Conditional and Typed Rewriting Systems
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We present an associative-commutative paramodulation calculus that generalizes the associative-commutative completion procedure to first-order clauses. The calculus is parametrized by a selection function (on negative literals) and a well-founded ordering on terms. It is compatible with an abstract notion of redundancy that covers such simplification techniques as tautology deletion, subsumption, and simplification by (associative-commutative) rewriting. The proof of refutational completeness of the calculus is comparatively simple, and the techniques employed may be of independent interest.