A note on the characterization of orthogonality and compatibility of elements of a quantum logic
Mukherjee, M.K. (1979)
Portugaliae mathematica
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A note on the characterization of orthogonality and compatibility of elements of a quantum logic
Quantum coherent spaces and linear logic
Stefano Baratella (2011)
RAIRO - Theoretical Informatics and Applications
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Quantum Coherent Spaces were introduced by Girard as a quantum framework where to interpret the exponential-free fragment of Linear Logic. Aim of this paper is to extend Girard's interpretation to a subsystem of linear logic with bounded exponentials. We provide deduction rules for the bounded exponentials and, correspondingly, we introduce the novel notion of bounded exponentials of Quantum Coherent Spaces. We show that the latter provide a categorical model of our system. In order...
Professor Sylvia Pulmannová
Anatolij Dvurečenskij (2004)
Mathematica Slovaca
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Quantum logics and bivariable functions
Eva Drobná, Oľga Nánásiová, Ľubica Valášková (2010)
Kybernetika
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New approach to characterization of orthomodular lattices by means of special types of bivariable functions is suggested. Under special marginal conditions a bivariable function can operate as, for example, infimum measure, supremum measure or symmetric difference measure for two elements of an orthomodular lattice.