Towards a Proof Theory of G\"odel Modal Logics

A. Avron; A. Avron; A. Avron and B. Konikowska; A. Ciabattoni, G. Metcalfe, and F. Monta; D. Larchey-Wendling; F. Bobillo, M. Delgado, J. Gómez-Romero,; F. Wolter; G. Priest; George Metcalfe; K. Gödel; L. Godo, P. Hájek, and F. Esteva; M. C. Fitting; M. C. Fitting; M. Dummett; Martin Giese; Nicola Olivetti; O. Sonobe; P. Hájek; P. Hájek; R. Dyckhoff; S. Schockaert, M. De Cock, and E. Kerre; U. Straccia; X. Caicedo and R. Rodríguez; Z. Zhang, Y. Sui, C. Cao, and G. Wu

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Towards a Proof Theory of G\"odel Modal Logics

Authors: A. Avron
A. Avron
A. Avron and B. Konikowska
G. Metcalfe, and F. Monta A. Ciabattoni
D. Larchey-Wendling
M. Delgado, J. Gómez-Romero, F. Bobillo
F. Wolter
G. Priest
George Metcalfe
K. Gödel
P. Hájek, and F. Esteva L. Godo
M. C. Fitting
M. C. Fitting
M. Dummett
Martin Giese
Nicola Olivetti
O. Sonobe
P. Hájek
P. Hájek
R. Dyckhoff
M. De Cock, and E. Kerre S. Schockaert
U. Straccia
X. Caicedo and R. Rodríguez
Y. Sui, C. Cao, and G. Wu Z. Zhang
Publication date: 1 January 2011
Publisher: 'Logical Methods in Computer Science e.V.'
Doi

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