Towards a Proof Theory of G\"odel Modal Logics

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.

Bibliographic Details
Main Authors: George Metcalfe, Nicola Olivetti
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2011-05-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/972/pdf