A Redundancy Criterion Based on Ground Reducibility by Ordered Rewriting
Identifieur interne : 006C55 ( Main/Exploration ); précédent : 006C54; suivant : 006C56A Redundancy Criterion Based on Ground Reducibility by Ordered Rewriting
Auteurs : Bernd Löchner [Allemagne]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: Redundancy criteria are an important means to restrict the search space of a theorem prover. In the presence of associative and commutative (AC) operators saturating provers soon generate many similar equations, most of them are redundant. We present a new criterion that is specialized for the AC-case and leads to significant speed-ups. The criterion uses a new sufficient test for the unsatisfiability of ordering constraints. The test runs in polynomial time, is easy to implement, and covers reduction orderings in a generic way, with possible extensions for LPO and KBO.
Url:
DOI: 10.1007/978-3-540-25984-8_2
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract: Redundancy criteria are an important means to restrict the search space of a theorem prover. In the presence of associative and commutative (AC) operators saturating provers soon generate many similar equations, most of them are redundant. We present a new criterion that is specialized for the AC-case and leads to significant speed-ups. The criterion uses a new sufficient test for the unsatisfiability of ordering constraints. The test runs in polynomial time, is easy to implement, and covers reduction orderings in a generic way, with possible extensions for LPO and KBO.</div>
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