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On the computational complexity of quantified Horn clauses

Marek Karpinski1, Hans Kleine Büning2 and Peter H. Schmitt3

(1)  Department of Computer Science, University of Bonn, Germany
(2)  Institut für angewandte Informatik und formale Beschreibungsverfahren, University of Karlsruhe, Germany
(3)  Scientific Center of IBM Germany, Heidelberg
Abstract
A polynomial time algorithm is presented for the evaluation problem for quantified propositional Horn clauses. This answers an open problem posed by Itai and Makowski in (IM 87).
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