Combining equational theories sharing non-collapse-free constructors

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Abstract

In this paper we extend the applicability of our combination method for decision procedures for the word problem to theories sharing non-collapse-free constructors. This extension broadens the scope of the combination procedure considerably, for example in the direction of equational theories axiomatizing the equivalence of modal formulae.

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Baader, F., & Tinelli, C. (2000). Combining equational theories sharing non-collapse-free constructors. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1794, pp. 260–274). Springer Verlag. https://doi.org/10.1007/10720084_17

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