English

Neighbourhood semantics for graded modal logic

Logic 2022-06-09 v1 Logic in Computer Science

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.

Keywords

Cite

@article{arxiv.2105.09202,
  title  = {Neighbourhood semantics for graded modal logic},
  author = {Jinsheng Chen and Hans van Ditmarsch and Giuseppe Greco and Apostolos Tzimoulis},
  journal= {arXiv preprint arXiv:2105.09202},
  year   = {2022}
}

Comments

removed journal template

R2 v1 2026-06-24T02:16:01.979Z