Journal of Symbolic Computation
First-order logic and automated theorem proving
First-order logic and automated theorem proving
On restrictions of ordered paramodulation with simplification
CADE-10 Proceedings of the tenth international conference on Automated deduction
Journal of the ACM (JACM)
Handbook of logic in computer science (vol. 2)
Journal of Automated Reasoning
Equational reasoning and term rewriting systems
Handbook of logic in artificial intelligence and logic programming (vol. 1)
The resolution calculus
33 basic test problems: a practical evaluation of some paramodulation strategies
Automated reasoning and its applications
Operational and Semantic Equivalence Between Recursive Programs
Journal of the ACM (JACM)
A Unification Algorithm for Associative-Commutative Functions
Journal of the ACM (JACM)
Symbolic Logic and Mechanical Theorem Proving
Symbolic Logic and Mechanical Theorem Proving
Solution of the Robbins Problem
Journal of Automated Reasoning
Fine-Grained Concurrent Completion
RTA '96 Proceedings of the 7th International Conference on Rewriting Techniques and Applications
A Progress Report on New Decision Algorithms for Finitely Prsented Abelian Groups
Proceedings of the 7th International Conference on Automated Deduction
Proving Equality Theorems with Hyper-Linking
CADE-11 Proceedings of the 11th International Conference on Automated Deduction: Automated Deduction
High-performance permutative completion
High-performance permutative completion
Automated theorem proving: A logical basis (Fundamental studies in computer science)
Automated theorem proving: A logical basis (Fundamental studies in computer science)
On the Complexity of Deduction Modulo Leaf Permutative Equations
Journal of Automated Reasoning
Unification and Matching Modulo Leaf-Permutative Equational Presentations
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
Unification in a class of permutative theories
RTA'05 Proceedings of the 16th international conference on Term Rewriting and Applications
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Mechanized systems for equational inference often produce many terms that are permutations of one another. We propose to gain efficiency by dealing with such sets of terms in a uniform manner, by the use of efficient general algorithms on permutation groups. We show how permutation groups arise naturally in equational inference problems, and study some of their properties. We also study some general algorithms for processing permutations and permutation groups, and consider their application to equational reasoning and term-rewriting systems. Finally, we show how these techniques can be incorproated into resolution theorem-proving strategies.