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Ortho and Causal Closure as a Closure Operations in the Causal Logic
Authors:Email author" target="_blank">W?Ceg?aEmail author  J?Florek
Institution:(1) Institute of Theoretical Physics, University of Wrocław Pl. Maxa Borna 9, 50-204 Wrocław, Poland;(2) Institute of Mathematics, University of Economics, ul. Komandorska 118/120, 53–345 Wrocław, Poland
Abstract:We investigate two different closure operations (ortho and causal closure) generated by a causal structure. In the case of orthogonal sets bounded in time two closure operations coincide and a lattice of double orthoclosed sets in this case is orthomodular.
Keywords:quantum logic  orthogonality relation  orthomodularity
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