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A Complete Axiomatisation for the Logic of Lattice Effect Algebras

Logic 2019-05-22 v3

Abstract

In a recent work Foulis and Pulmannov\' a \cite{Foulis2012} studied the logical connectives in lattice effect algebras. In this paper we extend their study and investigate further the logical calculus for which the lattice effect algebras can serve as semantic models. We shall first focus on some properties of lattice effect algebras and will then give a complete axiomatisation of this logic.

Keywords

Cite

@article{arxiv.1808.01670,
  title  = {A Complete Axiomatisation for the Logic of Lattice Effect Algebras},
  author = {Soroush Rafiee Rad and Amir Hossein Sharafi and Sonja Smets},
  journal= {arXiv preprint arXiv:1808.01670},
  year   = {2019}
}

Comments

15 pagws, 2 figures