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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Giuntini, R. Brouwer-Zadeh logic and the operational approach to quantum mechanics. Found Phys 20, 701–714 (1990). https://doi.org/10.1007/BF01889456
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DOI: https://doi.org/10.1007/BF01889456