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Translating propositional extended conjunctions of Horn clauses into Boolean circuits. (English) Zbl 1191.68148
Summary: Horn$$^{\supset}$$ is a logic programming language which extends usual Horn clauses by adding intuitionistic implication in goals and clause bodies. This extension can be seen as a way of structuring programs in logic programming. We are interested in finding correct and efficient translations from Horn$$^{\supset}$$ programs into some representation type that, preserving the signature, allows us suitable implementations of these kinds of programs. In this paper we restrict to the propositional setting of Horn$$^{\supset}$$ and we study correct translations into Boolean circuits, i.e., graphs; into Boolean formulas, i.e., trees; and into conjunctions of propositional Horn clauses. Different results for the efficiencies of the transformations are obtained in the three cases.
##### MSC:
 68N17 Logic programming 68N15 Theory of programming languages
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