Simulating polyadic modal logics by monadic ones

نویسندگان

  • George Goguadze
  • Carla Piazza
  • Yde Venema
چکیده

We define an interpretation of modal languages with polyadic operators in modal languages that use monadic operators (diamonds) only. We also define a simulation operator which associates a logic Λ in the diamond language with each logic Λ in the language with polyadic modal connectives. We prove that this simulation operator transfers several useful properties of modal logics, such as finite/recursive axiomatizability, frame completeness and the finite model property, canonicity and first-order definability.

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عنوان ژورنال:
  • J. Symb. Log.

دوره 68  شماره 

صفحات  -

تاریخ انتشار 2003