Hermann Dishkant. The first order predicate calculus based on the logic of quantum mechanics. Reports on mathematical logic, no. 3 , pp. 9–17. - G. N. Georgacarakos. Orthomodularity and relevance. Journal of philosophical logic, vol. 8 , pp. 415–432. - G. N. Georgacarakos. Equationally definable implication algebras for orthomodular lattices. Studia logica, vol. 39 , pp. 5–18. - R. J. Greechie and S. P. Gudder. Is a quantum logic a logic?Helvetica physica acta, vol. 44 , pp. 238–240. - Gary M. Hardegree. The conditional in abstract and concrete quantum logic. The logico-algehraic approach to quantum mechanics, volume II, Contemporary consolidation, edited by C. A. Hooker, The University of Western Ontario series in philosophy of science, vol. 5, D. Reidel Publishing Company, Dordrecht, Boston, and London, 1979, pp. 49–108. - Gary M. Hardegree. Material implication in orthomodular lattices. Notre Dame journal of formal logic, vol. 22 , pp. 163–182. - J. M. Jauch and C. Piron. What is “q [Book Review]

Journal of Symbolic Logic 48 (1):206-208 (1983)
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Orthomodular-valued models for quantum set theory.Masanao Ozawa - 2017 - Review of Symbolic Logic 10 (4):782-807.
Quantum set theory: Transfer Principle and De Morgan's Laws.Masanao Ozawa - 2021 - Annals of Pure and Applied Logic 172 (4):102938.

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