Presents codensity bisimilarity games as a general categorical characterization of bisimilarity-like notions via fibrations, coalgebras, and predicate transformers, covering bisimulation metrics and new notions such as bisimulation topology.
There are two cases to consider which are essentially identical, but we write them down separately just to make sure
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Codensity Games for Bisimilarity
Presents codensity bisimilarity games as a general categorical characterization of bisimilarity-like notions via fibrations, coalgebras, and predicate transformers, covering bisimulation metrics and new notions such as bisimulation topology.