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Order-Sorted Rewriting and Congruence Closure

Abstract

Order-sorted type systems supporting inheritance hierarchies and subtype polymorphism are used in theorem proving, AI, and declarative programming. The satisfiability problems for the theories of: (i) order-sorted uninterpreted function symbols, and (ii) of such symbols modulo a subset of associative-commutative ones are reduced to the unsorted versions of such problems at no extra computational cost. New results on order-sorted rewriting are needed to achieve this reduction.Partially supported by NSF Grant CNS 13-19109.Ope

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Last time updated on 11/06/2018

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