A New Method for Undecidability Proofs of First Order Theories

نویسنده

  • Ralf Treinen
چکیده

We claim that the reduction of Post's Correspondence Problem to the decision problem of a theory provides a useful tool for proving undecidability of rst order theories given by some interpretation. The goal of this paper is to deene a framework for such reduction proofs. The method proposed is illustrated by proving the undecidability of the theory of a term algebra modulo the axioms of associativity and commutativity and of the theory of a partial lexicographic path ordering.

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تاریخ انتشار 1990