Burckert, H.-J., Schmidt-Schauß, M. (1989). On the solvability of equational problems. SEKI Report SR-89-07, Universitat Kaiserslautern, Kaiserslautern, Germany.  Home/Search   Document Not in Database   Summary   Related Articles

....simple reduction proofs. A first set of applications illustrating the method proposed is concerned with equational problems, that is validity of formulas with equality as the only predicate symbol in the initial, respectively the free algebra of an equational specification (see Comon (1991) and Burckert Schmidt Schau (1989)) The first example (A) treats the decision problem for the theory of ground term algebras modulo the axioms of associativity and commutativity (AC for short) and has been given as an open problem in Comon (1988) In this paper the existential fragment has been shown decidable thus extending the ....

....has been conjectured in Plotkin (1972) and proven in Makanin (1977) Baader Schulz (1991) show the decidability of the unification problem for associative functions together with free function symbols. In contrast to the AC case, associativity without commutativity is of unification type (see (Burckert et al. 1989) for the classification of unification problems) this coincides with the observation that our technique yields undecidability of the Sigma 3 fragment in the AC case but Sigma 2 in the case of associativity. The second field of application is the theory of ground terms equipped with some ....

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Burckert, H.-J., Schmidt-Schauß, M. (1989). On the solvability of equational problems. SEKI Report SR-89-07, Universitat Kaiserslautern, Kaiserslautern, Germany.

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