Towards a Proof Theory of Gödel Modal Logics

Details Towards a Proof Theory of Gödel Modal Logics Towards a Proof Theory of Gödel Modal Logics

2011-05-06

arxiv.org/abs/1105.1256v2

LMCS 7 (2:10) 2011

Mathematics

Logic

Scientific paper

10.2168/LMCS-7(2:10)2011

Analytic proof calculi are introduced for box and diamond fragments of basic
modal fuzzy logics that combine the Kripke semantics of modal logic K with the
many-valued semantics of G\"odel logic. The calculi are used to establish
completeness and complexity results for these fragments.

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