Studia Logica 87 (1):99-128 (2007)
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| Abstract |
We investigate an expansion of quasi-MV algebras ([10]) by a genuine quantum unary operator. The variety of such quasi-MV algebras has a subquasivariety whose members—called cartesian—can be obtained in an appropriate way out of MV algebras. After showing that cartesian . quasi-MV algebras generate ,we prove a standard completeness theorem for w.r.t. an algebra over the complex numbers.
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| Keywords | Philosophy Computational Linguistics Mathematical Logic and Foundations Logic |
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| DOI | 10.1007/s11225-007-9079-0 |
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References found in this work BETA
Quantum Computation and Quantum Information.Michael A. Nielsen, Isaac L. Chuang & Isaac L. Chuang - 2000 - Cambridge University Press.
MV-Algebras and Quantum Computation.Antonio Ledda, Martinvaldo Konig, Francesco Paoli & Roberto Giuntini - 2006 - Studia Logica 82 (2):245-270.
MV*—Algebras.Renato Lewin, Marta Sagastume & Pedro Massey - 2004 - Logic Journal of the IGPL 12 (6):461-483.
VMV# algebrasV.R. Lewin, M. Sagastume & P. Massey - 2004 - Logic Journal of the IGPL 12 (6):461-483.
View all 6 references / Add more references
Citations of this work BETA
Quantum Computational Logic with Mixed States.Hector Freytes & Graciela Domenech - 2013 - Mathematical Logic Quarterly 59 (1-2):27-50.
Quantum Computational Structures: Categorical Equivalence for Square Root qMV -Algebras.Hector Freytes - 2010 - Studia Logica 95 (1-2):63 - 80.
The Lattice of Subvarieties of $${\sqrt{\prime}}$$ Quasi-MV Algebras.T. Kowalski, F. Paoli, R. Giuntini & A. Ledda - 2010 - Studia Logica 95 (1-2):37-61.
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