Completion for rewriting modulo a congruence

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Abstract

We present completion methods for rewriting modulo a congruence, generalizing previous methods by Peterson and Stickel (1981) and Jouannaud and Kirchner (1986). We formalize our methods as equational inference systems and describe techniques for reasoning about such systems.

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Bachmair, L., & Dershowitz, N. (1987). Completion for rewriting modulo a congruence. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 256 LNCS, pp. 192–203). Springer Verlag. https://doi.org/10.1007/3-540-17220-3_17

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