2026-05-30T06:09:22Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/159022026-02-03T11:14:29Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Krídlo, Ondrej
author
Ojeda-Aciego, Manuel
2018-06-04T12:01:52Z
2018-06-04T12:01:52Z
2018-06-04
https://hdl.handle.net/10630/15902
A Hilbert space $H$ induces a formal context, the Hilbert formal context $\overline H$, whose associated concept lattice is isomorphic to the lattice of closed subspaces of $H$. This set of closed subspaces, denoted $\mathcal C(H)$, is important in the development of quantum logic and, as an algebraic structure, corresponds to a so-called ``propositional system'', that is, a complete, atomistic, orthomodular lattice which satisfies the covering law.
In this paper, we continue with our study of the Chu construction by introducing the Chu correspondences between Hilbert contexts, and showing that the category of Propositional Systems, PropSys, is equivalent to the category of $\text{ChuCors}_{\mathcal H}$ of Chu correspondences between Hilbert contexts
eng
Lógica simbólica y matemática
Formal concept analysis and structures underlying quantum logics
journal article
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URL
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File
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46ef440d0083c9e0843eb4f11037528f
280314
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