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Sensoria Bibliography Site A Coalgebraic Theory of Reactive Systems.
Filippo Bonchi, Ugo Montanari
abstract:
In this report we study the connection between two well known models
for interactive systems. Reactive Systems µa la Leifer and Milner allow to derive an interactive semantics from a reduction semantics guaranteeing, under rather restrictive conditions, the compositionality of the abstract semantics (bisimilarity). Universal Coalgebra provides a categorical framework where bisimilarity can be characterized as Żnal semantics, i.e., as the unique morphism to the Żnal coalgebra. Moreover, if lifting a coalgebra to a structured setting is possible, then bisimilarity is compositional with respect to the lifted structure.
Here we show that for every reactive system we can build a coalgebra.
Furthermore, if bisimilarity is compositional in the reactive system, then we can lift this coalgebra to a structured coalgebra.
