We show that by constraining the substitutions allowed in some of the rules, it is possible to find complete sets of reductions for equational theories which include non-orientable equations such as commutativity without requiring a special unification algorithm. We develop the theory for such constrained reductions and we exhibit complete sets for semilattices, boolean algebras, and ternary boolean algebras.
CITATION STYLE
Peterson, G. E. (1990). Complete sets of reductions with constraints. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 449 LNAI, pp. 381–395). Springer Verlag. https://doi.org/10.1007/3-540-52885-7_101
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