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Orthomodular lattices, Foulis Semigroups and Dagger Kernel Categories

Bart Jacobs.

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&nbsp;[&hellip;]

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Relating Apartness and Bisimulation

Herman Geuvers ; Bart Jacobs.

A bisimulation for a coalgebra of a functor on the category of sets can be described via a coalgebra in the category of relations, of a lifted functor. A final coalgebra then gives rise to the coinduction principle, which states that two bisimilar elements are equal. For polynomial functors, this&nbsp;[&hellip;]

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