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http://hdl.handle.net/10077/3894| Title: | Topo-Bisimulations are Coalgebraic | Authors: | Schubert, Christoph | Keywords: | Coalgebraic Logic; Modal Logic; Topological Semantics; Topo-Bisimulations | Issue Date: | 2010 | Publisher: | EUT Edizioni Università di Trieste | Source: | Christoph Schubert, "Topo-Bisimulations are Coalgebraic", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 (2010), pp. 257–270. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 (2010) | Abstract: | We show that the topological interpretation of the modal logic S4 can be reformulated using a special kind of coalgebras for the filter functor. Thus the topological semantics is subsumed in coalgebraic semantics. Moreover, the relational notion of topo-bisimulation can be characterized via spans of open and continuous maps of topological spaces or via spans of coalgebras morphisms. |
Type: | Article | URI: | http://hdl.handle.net/10077/3894 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.42 (2010) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Schubert RendMat42.pdf | 259.75 kB | Adobe PDF |  View/Open |
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