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Title: Orthomodular logic. A proposar of a logic for quantum physics
Author: Alsalti Baldellou, Àdel
Director/Tutor: Torrens Torrell, Antoni
Keywords: Lògica
Treballs de fi de grau
Lògica algebraica
Teoria quàntica
Bachelor's thesis
Algebraic logic
Quantum theory
Issue Date: Jun-2016
Abstract: Classical physics are widely known to be closely related to classical propositional calculus, whereas there does not exist a strongly settled analogue for quantum physics. We will focus on orthomodular logic and, in particular, we will study two different sentential logics that have been purposed with this aim over othomodular lattices. Thus, we will introduce their semantics from the foundations of quantum mechanics and presenting them by means of two different approaches whose equivalence will be shown. Additionally, we will give an adequate syntax for each proposal, the first one due to M. L. dalla Chiara and R. Giuntini and the last one to G. Kalmbach. Finally, completeness theorems will be discussed as well as the results that have been reached.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Antoni Torrens Torrell
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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