Kripke bundle semantics and c-set semantics

Studia Logica 58 (3):395-401 (1997)
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Abstract

Kripke bundle [3] and C-set semantics [1] [2] are known as semantics which generalize standard Kripke semantics. In [3] and in [1], [2] it is shown that Kripke bundle and C-set semantics are stronger than standard Kripke semantics. Also it is true that C-set semantics for superintuitionistic logics is stronger than Kripke bundle semantics [5].In this paper, we show that Q-S4.1 is not Kripke bundle complete via C-set models. As a corollary we can give a simple proof showing that C-set semantics for modal logics are stronger than Kripke bundle semantics.

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Citations of this work

Incompleteness Results in Kripke Bundle Semantics.Kazuaki Nagaoka & Eiko Isoda - 1997 - Mathematical Logic Quarterly 43 (4):485-498.

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Incompleteness results in Kripke semantics.Silvio Ghilardi - 1991 - Journal of Symbolic Logic 56 (2):517-538.

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