Neighbourhood Semantics for Graded Modal Logic

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Bulletin of the Section of Logic 50 (3):373-395 (2021)
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Abstract

We introduce a class of neighbourhood frames for graded modal logic embedding Kripke frames into neighbourhood frames. This class of neighbourhood frames is shown to be first-order definable but not modally definable. We also obtain a new definition of graded bisimulation with respect to Kripke frames by modifying the definition of monotonic bisimulation.

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10.18778/0138-0680.2021.12

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Citations of this work

Granular knowledge and rational approximation in general rough sets – I.A. Mani - forthcoming - Journal of Applied Non-Classical Logics:1-36.

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References found in this work

Modal Logic: An Introduction.Brian F. Chellas - 1980 - New York: Cambridge University Press.
In so many possible worlds.Kit Fine - 1972 - Notre Dame Journal of Formal Logic 13 (4):516-520.
Graded modalities, II (canonical models).Francesco Caro - 1988 - Studia Logica 47 (1):1 - 10.
On the semantics of graded modalities.Wiebe Van der Hoek - 1992 - Journal of Applied Non-Classical Logics 2 (1):81-123.

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