Bisimilarity and refinement for hybrid(ised) logics

Alexandre Madeira
(Haslab-INESC TEC and Universidade do Minho)
Manuel A. Martins
(CIDMA - Math. Department U. Aveiro)
Luís Soares Barbosa
(Haslab-INESC TEC and Universidade do Minho)

The complexity of modern software systems entails the need for reconfiguration mechanisms gov- erning the dynamic evolution of their execution configurations in response to both external stimulus or internal performance measures. Formally, such systems may be represented by transition systems whose nodes correspond to the different configurations they may assume. Therefore, each node is en- dowed with, for example, an algebra, or a first-order structure, to precisely characterise the semantics of the services provided in the corresponding configuration. Hybrid logics, which add to the modal description of transition structures the ability to refer to specific states, offer a generic framework to approach the specification and design of this sort of systems. Therefore, the quest for suitable notions of equivalence and refinement between models of hybrid logic specifications becomes fundamental to any design discipline adopting this perspective. This paper contributes to this effort from a distinctive point of view: instead of focussing on a specific hybrid logic, the paper introduces notions of bisimilarity and refinement for hybridised logics, i.e. standard specification logics (e.g. propositional, equational, fuzzy, etc) to which modal and hybrid features were added in a systematic way.

In John Derrick, Eerke Boiten and Steve Reeves: Proceedings 16th International Refinement Workshop (Refine 2013), Turku, Finland, 11th June 2013, Electronic Proceedings in Theoretical Computer Science 115, pp. 84–98.
Published: 24th May 2013.

ArXived at: http://dx.doi.org/10.4204/EPTCS.115.6 bibtex PDF
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