Abstract
Although there exists a normal form for the theory of Boolean Algebra w.r.t, associativity and commutativity, the so called set of prime implicants, there does not exist a convergent equational term rewriting System for the theory of boolean algebra modulo AC. The result seems well-known, but no formal proof exists as yet. In this paper a formal proof of this fact is given.
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Socher-Ambrosius, R. (1991). Boolean algebra admits no convergent term rewriting system. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 488 LNCS, pp. 264–274). Springer Verlag. https://doi.org/10.1007/3-540-53904-2_102
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