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出典:Wikipedia

Superposition calculus

出典:『Wikipedia』 (2011/03/29 15:12 UTC 版)

英語による解説

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The superposition calculus is a calculus for reasoning in equational first-order logic. It has been developed in the early 1990s and combines concepts from first-order resolution with ordering-based equality handling as developed in the context of (unfailing) Knuth-Bendix completion. It can be seen as a generalization of either resolution (to equational logic) or unfailing completion (to full clausal logic). As most first-order calculi, superposition tries to show the unsatisfiability of a set of first-order clauses, i.e. it performs proofs by refutation. Superposition is refutation-complete — given unlimited resources and a fair derivation strategy, every unsatisfiable clause set can eventually be proved to be unsatisfiable.

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