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The complexity of admissible rules of Łukasiewicz logic

by: Emil Jeřábek
Journal of Logic and Computation (12 April 2012), doi:10.1093/logcom/exs007  Key: citeulike:12141673

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Abstract

We investigate the computational complexity of admissibility of inference rules in infinite-valued Łukasiewicz propositional logic (Ł). It was shown in [13] that admissibility in Ł is checkable in PSPACE. We establish that this result is optimal, i.e. admissible rules of Ł are PSPACE-complete. In contrast, derivable rules of Ł are known to be coNP-complete.


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