Topos-Based Logic for Quantum Systems and Bi-Heyting Algebras

Physics – Quantum Physics

Scientific paper

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22 pages, no figures. Submitted for volume Logic & Algebra in Quantum Computing, Lecture Notes in Logic, published by the Asso

Scientific paper

To each quantum system, described by a von Neumann algebra of physical
quantities, we associate a complete bi-Heyting algebra. The elements of this
algebra represent contextualised propositions about the values of the physical
quantities of the quantum system.

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