Nonoblivious normalization algorithms for nonlinear rewrite systems
Proceedings of the seventeenth international colloquium on Automata, languages and programming
Handbook of theoretical computer science (vol. B)
Equational inference, canonical proofs, and proof orderings
Journal of the ACM (JACM)
A theory of using history for equational systems with applications
Journal of the ACM (JACM)
Fast Decision Procedures Based on Congruence Closure
Journal of the ACM (JACM)
Canonical Equational Proofs
Factotum: Automatic and Systematic Sharing Support for Systems Analyzers
TACAS '98 Proceedings of the 4th International Conference on Tools and Algorithms for Construction and Analysis of Systems
Shostak's Congruence Closure as Completion
RTA '97 Proceedings of the 8th International Conference on Rewriting Techniques and Applications
Normal forms in term rewriting systems
Normal forms in term rewriting systems
An improved algorithm for computing with equations
SFCS '80 Proceedings of the 21st Annual Symposium on Foundations of Computer Science
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We present an abstract completion-based method for finding normal forms of terms with respect to given rewrite systems. The method uses the concept of a rewrite closure, which is a generalization of the idea of a congruence closure. Our results generalize previous results on congruence closure-based normalization methods. The description of known methods within our formalism also allows a better understanding of these procedures.