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State transitions as morphisms for complete lattices

Bob Coecke·Isar Stubbe
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Abstract

We enlarge the hom-sets of categories of complete lattices by introducing `state transitions' as generalized morphisms. The obtained category will then be compared with a functorial quantaloidal enrichment and a contextual quantaloidal enrichment that uses a specific concretization in the category of sets and partially defined maps ($Parset$).

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Bob Coecke, Isar Stubbe. 2000-08-04. State transitions as morphisms for complete lattices. https://arxiv.org/abs/math/0008039

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