Article ID Journal Published Year Pages File Type
398128 International Journal of Approximate Reasoning 2010 11 Pages PDF
Abstract

The problem of deciding whether a rational assessment of formulas of infinite-valued Łukasiewicz logic is coherent has been shown to be decidable by Mundici [1], and in PSPACE by Flaminio and Montagna [10], . We settle its computational complexity proving an NP-completeness result. We then obtain NP-completeness results for the satisfiability problem of certain many-valued probabilistic logics introduced by Flaminio and Montagna in [9].

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