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Bi-modal Gödel logic over [0,1]-valued Kripke frames.
- Source :
- Journal of Logic & Computation; Feb2015, Vol. 25 Issue 1, p37-55, 19p
- Publication Year :
- 2015
-
Abstract
- We consider the Gödel bi-modal logic determined by fuzzy Kripke models where both the propositions and the accessibility relation are infinitely valued over the standard Gödel algebra [0,1], and prove strong completeness of the Fischer Servi intuitionistic modal logic IK plus the prelinearity axiom with respect to this semantics. We axiomatize also the bi-modal analogues of classical T, S4 and S5, obtained by restricting to models over frames satisfying the [0,1]-valued versions of the structural properties which characterize these logics. As an application of the completeness theorems we obtain a representation theorem for bi-modal Gödel algebras. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0955792X
- Volume :
- 25
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Logic & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 101034323
- Full Text :
- https://doi.org/10.1093/logcom/exs036