A Gentzen system for involutive residuated lattices
- Cite this article as:
- Wille, A.M. Algebra univers. (2005) 54: 449. doi:10.1007/s00012-005-1957-6
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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.