Orthomodular lattices, Foulis Semigroups and Dagger Kernel Categories

Details Orthomodular lattices, Foulis Semigroups and Dagger Kernel Categories Orthomodular lattices, Foulis Semigroups and Dagger Kernel Categories

2009-05-25

arxiv.org/abs/0905.4090v1

Computer Science

Logic in Computer Science

31 pages

Scientific paper

This paper is a sequel to arXiv:0902.2355 and continues the study of quantum logic via dagger kernel categories. It develops the relation between these categories and both orthomodular lattices and Foulis semigroups. The relation between the latter two notions has been uncovered in the 1960s. The current categorical perspective gives a broader context and reconstructs this relationship between orthomodular lattices and Foulis semigroups as special instance.

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