A Gentzen system for involutive residuated lattices |
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Authors: | Annika M. Wille |
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Affiliation: | 1. Fachbereich Mathematik, Technische Universit?t Darmstadt, Schlossgartenstr. 7, 64289, Darmstadt, Germany
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Abstract: | We establish a cut-free Gentzen system for involutive residuated lattices and provide an algebraic proof of completeness. As a result we conclude that the equational theory of involutive residuated lattices is decidable. The connection to noncommutative linear logic is outlined. Received July 22, 2004; accepted in final form July 19, 2005. |
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Keywords: | 06F05 06D35 06F15 03G10 |
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