English

Affine modal propositional logic

Logic 2026-07-25 v1

Abstract

Topological semantics for affine modal propositional logic is introduced. The interior operator on subsets is replaced with the lower semi-continuous envelope operator on functions. Completeness and affine compactness theorems are proved for this logic.

Cite

@article{arxiv.2607.23323,
  title  = {Affine modal propositional logic},
  author = {Hafez K. D. and Seyed-Mohammad Bagheri},
  journal= {arXiv preprint arXiv:2607.23323},
  year   = {2026}
}