Unification of two approaches to quantum logic: Every Birkhoff-von Neumann quantum logic is a partial infinite-valued Łukasiewicz logic
type: Item
instance of: scholarly article
title: Unification of two approaches to quantum logic: Every Birkhoff-von Neumann quantum logic is a partial infinite-valued Łukasiewicz logic
zbMATH Open document ID: 1214.03050
author: Jarosław Pykacz
published in: Studia Logica
publication date: 2010-12-01T00:00:00Z
review text: The author discusses and adds some background to his earlier result that every quantum logic (i.e., \(\sigma\)-orthocomplete orthomodular poset) with an ordering set of probability measures can be treated as a partial infinite-valued Łukasiewicz logic.
reviewed by: Josef Tkadlec
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 03B50
zbMATH DE Number: 5822060
zbMATH Keywords: quantum logic
zbMATH Keywords: many-valued logic
zbMATH Keywords: Łukasiewicz logic
MaRDI profile type: Publication
full work available at URL: s11225-010-9252-8
OpenAlex ID: W2054253028
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DOI: 10.1007/S11225-010-9252-8
description: scientific article; zbMATH DE number 5822060