English

A Characterization of Non-Iterative Normal Modal Logics

Logic 2021-03-26 v1

Abstract

Non-iterative normal modal logics are defined by axioms of modal degree 1. In this paper we use calculations with normal forms to determine the set of all possible non-iterative normal modal logics, unimodal propositional extensions of K. To characterize them, we construct the complete set (lattice) of such logics and we provide the generic specification of their axioms and their semantics.

Keywords

Cite

@article{arxiv.2103.13918,
  title  = {A Characterization of Non-Iterative Normal Modal Logics},
  author = {Adrian Soncodi},
  journal= {arXiv preprint arXiv:2103.13918},
  year   = {2021}
}

Comments

42 pages, 8 figures

R2 v1 2026-06-24T00:33:32.351Z