Completeness and decidability results for hybrid(ised) logics

Adding to the modal description of transition structures the ability to refer to specific states, hybrid(ised) logics provide an interesting framework for the specification of reconfigurable systems. The qualifier ‘hybrid(ised)’ refers to a generic method of developing, on top of whatever specificat...

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Bibliographic Details
Main Author: Neves, Renato (author)
Other Authors: Martins, Manuel A. (author), Barbosa, Luís S. (author)
Format: bookPart
Language:eng
Published: 2016
Subjects:
Online Access:http://hdl.handle.net/10773/15065
Country:Portugal
Oai:oai:ria.ua.pt:10773/15065
Description
Summary:Adding to the modal description of transition structures the ability to refer to specific states, hybrid(ised) logics provide an interesting framework for the specification of reconfigurable systems. The qualifier ‘hybrid(ised)’ refers to a generic method of developing, on top of whatever specification logic is used to model software configurations, the elements of an hybrid language, including nominals and modalities. In such a context, this paper shows how a calculus for a hybrid(ised) logic can be generated from a calculus of the base logic and that, moreover, it preserves soundness and completeness. A second contribution establishes that hybridising a decidable logic also gives rise to a decidable hybrid(ised) one. These results pave the way to the development of dedicated proof tools for such logics used in the design of reconfigurable systems.