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State Transitions as Morphisms for Complete Lattices

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Abstract

We enlarge the hom-sets of categories of complete lattices by introducing 'statetransitions' as generalized morphisms. The obtained category is then comparedwith a functorial quantaloidal enrichment and a contextual quantaloidalenrichment that uses a specific concretization in the category of sets and partiallydefined maps (Parset).

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Coecke, B., Stubbe, I. State Transitions as Morphisms for Complete Lattices. International Journal of Theoretical Physics 39, 605–614 (2000). https://doi.org/10.1023/A:1003681519653

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