English

Canonicity in power and modal logics of finite achronal width

Logic 2024-11-20 v1 Logic in Computer Science

Abstract

We develop a method for showing that various modal logics that are valid in their countably generated canonical Kripke frames must also be valid in their uncountably generated ones. This is applied to many systems, including the logics of finite width, and a broader class of multimodal logics of `finite achronal width' that are introduced here.

Keywords

Cite

@article{arxiv.2207.12596,
  title  = {Canonicity in power and modal logics of finite achronal width},
  author = {Robert Goldblatt and Ian Hodkinson},
  journal= {arXiv preprint arXiv:2207.12596},
  year   = {2024}
}