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arXiv · 2105.09202

Neighbourhood semantics for graded modal logic

Jinsheng Chen·Hans van Ditmarsch·Giuseppe Greco·Apostolos Tzimoulis
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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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Jinsheng Chen, Hans van Ditmarsch, Giuseppe Greco, Apostolos Tzimoulis. 2021-05-19. Neighbourhood semantics for graded modal logic. https://doi.org/10.18778/0138-0680.2021.12

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