Tableaux for łukasiewicz infinite-valued logic

Studia Logica 73 (1):81 - 111 (2003)
In this work we propose a labelled tableau method for ukasiewicz infinite-valued logic L . The method is based on the Kripke semantics of this logic developed by Urquhart [25] and Scott [24]. On the one hand, our method falls under the general paradigm of labelled deduction [8] and it is rather close to the tableau systems for sub-structural logics proposed in [4]. On the other hand, it provides a CoNP decision procedure for L validity by reducing the check of branch closure to linear programming.
Keywords Philosophy   Logic   Mathematical Logic and Foundations   Computational Linguistics
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