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arxiv: 0807.1278 · v1 · submitted 2008-07-08 · 🪐 quant-ph · math.LO

Modal-type orthomodular logic

classification 🪐 quant-ph math.LO
keywords completenessorthomodularaddingalgebraicbaerdevelopedenrichfollowing
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In this paper we enrich the orthomodular structure by adding a modal operator, following a physical motivation. A logical system is developed, obtaining algebraic completeness and completeness with respect to a Kripke-style semantic founded on Baer *-semigroups as in [20].

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