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Orthomodular logic. A proposal of a logic for quantum physics

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dc.contributor Torrens Torrell, Antoni
dc.creator Alsalti Baldellou, Àdel
dc.date 2017-03-20T11:58:01Z
dc.date 2017-03-20T11:58:01Z
dc.date 2016-06
dc.date.accessioned 2024-12-16T10:23:58Z
dc.date.available 2024-12-16T10:23:58Z
dc.identifier http://hdl.handle.net/2445/108623
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/16865
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Antoni Torrens Torrell
dc.description 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.
dc.format 44 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Àdel Alsalti Baldellou, 2016
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Lògica
dc.subject Treballs de fi de grau
dc.subject Lògica algebraica
dc.subject Física
dc.subject Teoria quàntica
dc.subject Logic
dc.subject Bachelor's theses
dc.subject Algebraic logic
dc.subject Physics
dc.subject Quantum theory
dc.title Orthomodular logic. A proposal of a logic for quantum physics
dc.type info:eu-repo/semantics/bachelorThesis


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