Towards a Proof Theory of G\"odel Modal Logics

Abstract

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.

Keywords

• mathematics - logic
• computer science - logic in computer science
• cs.lo