A decidable case of the semi-unification problem

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Abstract

The semi-unification problem has recently been shown to be undecidable [8]. We present a new subclass of decidable semi-unification problems, properly containing those over monadic languages. In our ‘quasi-monadic’ problems, function symbols may be of arity > 1, but only terms with at most one free variable are admitted.

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Leiß, H., & Henglein, F. (1991). A decidable case of the semi-unification problem. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 520 LNCS, pp. 318–327). Springer Verlag. https://doi.org/10.1007/3-540-54345-7_75

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