Kripke Bundle Semantics and C-set Semantics |
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Authors: | Isoda Eiko |
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Institution: | (1) Department of Mathematics, Tsuda College, Tsuda-machi Kodaira-shi, Tokyo, 187, Japan |
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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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Keywords: | Kripke bundle semantics C-set semantics superintuitionistic logics |
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