Bonchi, Filippo and Montanari, Ugo (2006) A Coalgebraic Theory of Reactive Systems. Technical Report del Dipartimento di Informatica . Università di Pisa, Pisa, IT.
PDF (GZip) - Published Version Available under License Creative Commons Attribution No Derivatives. Download (271Kb) |
Abstract
In this report we study the connection between two well known models for interactive systems. Reactive Systems à la Leifer and Milner allow to derive an interactive semantics from a reduction semantics guaranteeing, under rather restrictive conditions, thecompositionality of the abstract semantics (bisimilarity). Universal Coalgebra provides a categorical framework where bisimilarity can be characterized as final semantics, i.e., as the unique morphism to the final 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. Further, if bisimilarity is compositional in the reactive system, then we can lift this coalgebra to a structured coalgebra.
Item Type: | Book |
---|---|
Uncontrolled Keywords: | Reactive Systems - Coalgebras |
Subjects: | Area01 - Scienze matematiche e informatiche > INF/01 - Informatica |
Divisions: | Dipartimenti (until 2012) > DIPARTIMENTO DI INFORMATICA |
Depositing User: | dott.ssa Sandra Faita |
Date Deposited: | 09 Dec 2014 13:08 |
Last Modified: | 09 Dec 2014 13:08 |
URI: | http://eprints.adm.unipi.it/id/eprint/2171 |
Repository staff only actions
View Item |