A Complete Axiomatisation for the Logic of Lattice Effect Algebras

Authors
Publication date 02-2021
Journal International Journal of Theoretical Physics
Volume | Issue number 60 | 2
Pages (from-to) 696-709
Number of pages 14
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract

In a recent work Foulis and Pulmannová (Stud. Logica. 100(6), 1291–1315, 2012) 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.

Document type Article
Note In special issue: Quantum Logic and Quantum Structures: Selected papers from IQSA 2017 and 2018.
Language English
Published at https://doi.org/10.1007/s10773-019-04074-y
Other links https://www.scopus.com/pages/publications/85064828577
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