Propositional theories are strongly equivalent to logic programs

Pedro Cabalar; Paolo Ferraris

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arXiv · cs/0701095

Propositional theories are strongly equivalent to logic programs

Pedro Cabalar·Paolo Ferraris

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Abstract

This paper presents a property of propositional theories under the answer sets semantics (called Equilibrium Logic for this general syntax): any theory can always be reexpressed as a strongly equivalent disjunctive logic program, possibly with negation in the head. We provide two different proofs for this result: one involving a syntactic transformation, and one that constructs a program starting from the countermodels of the theory in the intermediate logic of here-and-there.

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Pedro Cabalar, Paolo Ferraris. 2007-01-16. Propositional theories are strongly equivalent to logic programs. https://arxiv.org/abs/cs/0701095

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