Decidability of bounded second order unification

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Bounded Second-Order Unification Is NP-Complete

Bounded Second-Order Unification is the problem of deciding, for a given second-order equation t ? = u and a positive integer m, whether there exists a unifier σ such that, for every second-order variable F , the terms instantiated for F have at most m occurrences of every bound variable. It is already known that Bounded Second-Order Unification is decidable and NP-hard, whereas general Second-...

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Bounded Second-Order Unification is a decidable variant of undecidable Second-Order Unification. Stratified Context Unification is a decidable restriction of Context Unification, whose decidability is a long-standing open problem. This paper is a join of two separate previous, preliminary papers on NP-completeness of Bounded Second-Order Unification and Stratified Context Unification. It clarif...

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ژورنال

عنوان ژورنال: Information and Computation

سال: 2004

ISSN: 0890-5401

DOI: 10.1016/j.ic.2003.08.002