Abstract
We prove that Brouwer-Zadeh logic has the finite model property and therefore is decidable. Moreover, we present a bimodal system (BKB) which turns out to be characterized by the class of all Brouwer-Zadeh frames. Finally, we show that BrouwerZadeh logic can be translated into BKB.
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References
G. Cattaneo, G. Nisticó, Brouwer-Zadeh posets and three-valued Łukasiewicz posets, Fuzzy Sets and Systems 33 (1989).
M. L. Dalla Chiara, Quantum logic, in D. Gabbay, F. Guenthner (eds.), Handbook of Philosophical Logic, III, Reidel, Dordrecht, 1986.
R. Gluntini, Brouwer-Zadeh logic and the operational approach to quantum mechanics, Foundations of Physics 20 (1990).
R. Gluntini, A semantical investigation on Brouwer-Zadeh logic, to be published in Journal of Philosophical Logic.
G. E. Hughes and M. J. Cresswell, A Companion to Modal Logic, Methuen, London and New York, 1984.
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Giuntini, R. Brouwer-Zadeh logic, decidability and bimodal systems. Studia Logica 51, 97–112 (1992). https://doi.org/10.1007/BF00370333
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DOI: https://doi.org/10.1007/BF00370333