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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 427))

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Abstract

We survey several problems related to logical aspects of quantum structures. In particular, we consider problems related to completions, decidability and axiomatizability, and embedding problems. The historical development is described, as well as recent progress and some suggested paths forward.

J. Harding: Partially supported by US Army grant W911NF-21-1-0247.   Z. Wang: Partially supported by NSF grants FRG-1664351, CCF 2006463, and DOD MURI grant ARO W911NF-19-S-0008.

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Harding, J., Wang, Z. (2022). Logical Aspects of Quantum Structures. In: Ngoc Thach, N., Kreinovich, V., Ha, D.T., Trung, N.D. (eds) Financial Econometrics: Bayesian Analysis, Quantum Uncertainty, and Related Topics. ECONVN 2022. Studies in Systems, Decision and Control, vol 427. Springer, Cham. https://doi.org/10.1007/978-3-030-98689-6_6

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