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Categorical equivalence between orthomodular dynamic algebras and complete orthomodular lattices

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Publication:682665
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DOI10.1007/S10773-017-3433-4zbMath1387.81023OpenAlexW2734683679MaRDI QIDQ682665

Soroush Rafiee Rad, Shengyang Zhong, Joshua Sack, Kohei Kishida

Publication date: 5 February 2018

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:7c9e9d7f-a150-4bda-9a45-bd5f3643334f


zbMATH Keywords

quantalecomplete orthomodular latticeorthomodular dynamic algebra


Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)





Cites Work

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  • Duality for the logic of quantum actions
  • Complete axiomatizations for quantum actions
  • The Sasaki hook is not a [static implicative connective but induces a backward [in time] dynamic one that assigns causes]
  • Quantales, observational logic and process semantics




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