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Quantum Implication Algebras

Quantum implication algebras without complementation are formulated with the same axioms for all five quantum implications. Previous formulations of orthoimplication, orthomodular implication, and quasi-implication algebras are analysed and put in perspective to each other and our results.

implication algebras; quantum implication algebras; semi-orthomodular lattices; orthomodular lattices; orthomodular implication algebras; join semilattices

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