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Towards a Semantic Characterization of Cut-Elimination
Authors:Agata Ciabattoni  Kazushige Terui
Institution:(1) Institute für Computersprachen TU Wien, Favoritenstrasse 9-11, Wien, 1040, Austria;(2) National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan
Abstract:We introduce necessary and sufficient conditions for a (single-conclusion) sequent calculus to admit (reductive) cut-elimination. Our conditions are formulated both syntactically and semantically.
Keywords:sequent calculus  cut-elimination  nonclassical logicss  substructural logics  phase semantics
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