Brouwer-Zadeh logic and the operational approach to quantum mechanics

Foundations of Physics 20 (6):701-714 (1990)
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Abstract

This paper is concerned with a logical system, called Brouwer-Zadeh logic, arising from the BZ poset of all effects of a Hilbert space. In particular, we prove a representation theorem for Brouwer-Zadeh lattices, and we show that Brouwer-Zadeh logic is not characterized by the MacNeille completions of all BZ posets of effects

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