A quantifier-free completion of logic programs

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Abstract

We present a proof theoretic approach to the problem of negation in logic programming. We introduce a quantifier-free sequent calculus which is sound for Negation as Failure. Some extensions of the calculus have 3-valued or intuitionistic interpretations.

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Stärk, R. F. (1990). A quantifier-free completion of logic programs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 440 LNCS, pp. 384–395). Springer Verlag. https://doi.org/10.1007/3-540-52753-2_53

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