Simplified Kripke Semantics for K45-Like Gödel Modal Logics and Its Axiomatic Extensions

Studia Logica 110 (4):1081-1114 (2022)
  Copy   BIBTEX

Abstract

In this paper we provide a simplified, possibilistic semantics for the logics K45, i.e. a many-valued counterpart of the classical modal logic K45 over the [0, 1]-valued Gödel fuzzy logic \. More precisely, we characterize K45 as the set of valid formulae of the class of possibilistic Gödel frames \, where W is a non-empty set of worlds and \ is a possibility distribution on W. We provide decidability results as well. Moreover, we show that all the results also apply to the extension of K45 with the axiom, provided that we restrict ourselves to normalised Gödel Kripke frames, i.e. frames \ where \ satisfies the normalisation condition \ = 1\).

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,127

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Analytics

Added to PP
2022-04-09

Downloads
16 (#935,433)

6 months
6 (#587,658)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Ricardo Oscar Rodriguez
Universidad de Buenos Aires (UBA)

Citations of this work

No citations found.

Add more citations