English

Propositional Mixed Logic: Its Syntax and Semantics

Logic 2009-05-05 v1

Abstract

In this paper, we present a propositional logic (called mixed logic) containing disjoint copies of minimal, intuitionistic and classical logics. We prove a completeness theorem for this logic with respect to a Kripke semantics. We establish some relations between mixed logic and minimal, intuitionistic and classical logics. We present at the end a sequent calculus version for this logic.

Keywords

Cite

@article{arxiv.0905.0369,
  title  = {Propositional Mixed Logic: Its Syntax and Semantics},
  author = {Karim Nour and Abir Nour},
  journal= {arXiv preprint arXiv:0905.0369},
  year   = {2009}
}
R2 v1 2026-06-21T12:57:53.257Z