A Finite Model Property for Gödel Modal Logics

  title={A Finite Model Property for G{\"o}del Modal Logics},
  author={Xavier Caicedo and George Metcalfe and Ricardo Oscar Rodr{\'i}guez and Jonas Rogger},
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, and indeed co-NPcompleteness for a Gödel S5 logic that coincides with the one-variable fragment of first-order Gödel logic. 

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