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On unification of terms with integer exponents

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Abstract

We consider terms in which some patterns can be repeatedn times.n is an integer variable which is part of the syntax of the terms (and hence may occur more than once in them). We show that unification of such terms is decidable and finitary, extending Chen and Hsiang's result onp-term unification. Finally, extending slightly the syntax yields an undecidable unification problem.

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Comon, H. On unification of terms with integer exponents. Math. Systems Theory 28, 67–88 (1995). https://doi.org/10.1007/BF01294596

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  • DOI: https://doi.org/10.1007/BF01294596

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