Volume II: Parallel Languages on PARLE: Parallel Architectures and Languages Europe
Permutation group algorithms based on partitions, I: Theory and algorithms
Journal of Symbolic Computation - Special issue on computational group theory: part 2
Automorphism groups, isomorphism, reconstruction
Handbook of combinatorics (vol. 2)
Term rewriting and all that
A Unification Algorithm for Associative-Commutative Functions
Journal of the ACM (JACM)
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
General Algorithms for Permutations in Equational Inference
Journal of 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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In the context of equational reasoning, J. Avenhaus and D. Plaisted proposed to deal with leaf permutative equations in a uniform, specialized way. The simplicity of these equations and the useless variations that they produce are good incentives to lift theorem proving to so-called stratified terms, in order to perform deduction modulo such equations. This requires specialized algorithms for standard problems involved in automated deduction. To analyze the computational complexity of these problems, we focus on the group theoretic properties of stratified terms. NP-completeness results are given and (slightly) relieved by restrictions on leaf permutative theories, which allow the use of techniques from computational group theory.