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Congruence Closure modulo Associativity-Commutativity

Leo Bachmair 1 I. V. Ramakrishnan 1 Ashish Tiwari 1 Laurent Vigneron 2
2 PROTHEO - Constraints, automatic deduction and software properties proofs
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We introduce the notion of an associative-commutative congruence closure and show how such closures can be constructed via completion-like transition rules. This method is based on combining completion algorithms for theories over disjoint signatures to produce a convergent system over an extended signature. This approach can also be used to solve the word problem for ground AC-theories without using AC-simplification orderings. We also discuss transformation of a convergent system over an extended signature to a convergent system (modulo AC) over the original signature.
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https://hal.inria.fr/inria-00099214
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Submitted on : Tuesday, September 26, 2006 - 8:51:48 AM
Last modification on : Friday, February 26, 2021 - 3:28:06 PM

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Leo Bachmair, I. V. Ramakrishnan, Ashish Tiwari, Laurent Vigneron. Congruence Closure modulo Associativity-Commutativity. 3rd International Workshop on Frontiers of Combining Systems - FroCoS'2000, Mar 2000, Nancy, France, pp.242-256. ⟨inria-00099214⟩

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