A rewriting approach to satisfiability procedures.
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Publication:1401930
DOI10.1016/S0890-5401(03)00020-8zbMath1054.68077OpenAlexW2156915267MaRDI QIDQ1401930
Alessandro Armando, Silvio Ranise, Michaël Rusinowitch
Publication date: 19 August 2003
Published in: Information and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0890-5401(03)00020-8
Automated deductionEquational logicTerm rewritingEncryptionHomomorphismDecision proceduresSuperpositionArrays with extensionalityFinite sets with extensionalityLists
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Uses Software
Cites Work
- Towards a foundation of completion procedures as semidecision procedures
- Theorem-proving with resolution and superposition
- On word problems in Horn theories
- A complete proof of correctness of the Knuth-Bendix completion algorithm
- Any ground associative-commutative theory has a finite canonical system
- Proof lengths for equational completion
- Automated complexity analysis based on ordered resolution
- Deciding Combinations of Theories
- Fast Decision Procedures Based on Congruence Closure
- Simplification by Cooperating Decision Procedures
- Variations on the Common Subexpression Problem
- THE WORD PROBLEM OF ACD-GROUND THEORIES IS UNDECIDABLE
- Rewrite-based Equational Theorem Proving with Selection and Simplification
- Shostak's congruence closure as completion
- Completion procedures as semidecision procedures
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