Neighbourhood Semantics for Graded Modal Logic

Authors

DOI:

https://doi.org/10.18778/0138-0680.2021.12

Keywords:

Graded modal logic, neighbourhood frames, bisimulation

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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Published

2021-07-14

How to Cite

Chen, J., van Ditmarsch, H., Greco, G., & Tzimoulis, A. . (2021). Neighbourhood Semantics for Graded Modal Logic. Bulletin of the Section of Logic, 50(3), 373-395. https://doi.org/10.18778/0138-0680.2021.12

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Research Article