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A Finite Model Property for Gödel Modal Logics

4 pagesPublished: July 28, 2014

Abstract

A new semantics with the finite model property is provided and used to establish decidability for Gödel modal logics based on (crisp or fuzzy) Kripke frames combined locally with Gödel logic. A similar methodology is also used to establish decidability, indeed co-NP-completeness, for a Gödel S5 logic that coincides with the one-variable fragment of first-order Gödel logic.

Keyphrases: finite model property, Fuzzy Logics, Gödel logic

In: Nikolaos Galatos, Alexander Kurz and Constantine Tsinakis (editors). TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic, vol 25, pages 183--186

Links:
BibTeX entry
@inproceedings{TACL2013:Finite_Model_Property_for,
  author    = {Xavier Caicedo and George Metcalfe and Ricardo Rodriguez and Jonas Rogger},
  title     = {A Finite Model Property for G\textbackslash{}"odel Modal Logics},
  booktitle = {TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic},
  editor    = {Nikolaos Galatos and Alexander Kurz and Constantine Tsinakis},
  series    = {EPiC Series in Computing},
  volume    = {25},
  pages     = {183--186},
  year      = {2014},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {https://easychair.org/publications/paper/wwb},
  doi       = {10.29007/vgh2}}
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