Reflection and Preservation of Properties in Coalgebraic (bi)Simulations
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2008
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Springer
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Fábregas, I., Palomino Tarjuelo, M. & Fritos Escrig, D. «Reflection and Preservation of Properties in Coalgebraic (bi)Simulations». Theoretical Aspects of Computing – ICTAC 2007, editado por Cliff B. Jones et al., vol. 4711, Springer Berlin Heidelberg, 2007, pp. 231-45. DOI.org (Crossref), https://doi.org/10.1007/978-3-540-75292-9_16.
Abstract
Our objective is to extend the standard results of preservation and reflection of properties by bisimulations to the coalgebraic setting, as well as to study under what conditions these results hold for simulations. The notion of bisimulation is the classical one, while for simulations we use that proposed by Hughes and Jacobs. As for properties, we start by using a generalization of linear temporal logic to arbitrary coalgebras suggested by Jacobs, and then an extension by Kurtz which includes atomic propositions too.