On the set-representable orthomodular posets that are point-distinguishing

DOI10.1007/S10773-023-05436-3arXiv2401.13798MaRDI QIDQ6049650

Dominika Burešová, Pavel Pták

Publication date: 15 September 2023

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

Full work available at URL: https://arxiv.org/abs/2401.13798

zbMATH Keywords

Boolean algebraorthomodular posetquantum logictwo-valued state

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Spinor and twistor methods applied to problems in quantum theory (81R25) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Stone spaces (Boolean spaces) and related structures (06E15) Logical aspects of Boolean algebras (03G05)

Cites Work

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• SOME EQUATIONS RELATED TO STATES ON ORTHOMODULAR LATTICES
• States on systems of sets that are closed under symmetric difference
• Partially additive states on orthomodular posets
• Orthomodular lattices with state-separated noncompatible pairs
• Extending states on finite concrete logics

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