Abstract
We show that any institution \({\mathcal I}\) satisfying some reasonable conditions can be transformed into another institution, \({\mathcal I}_{beh}\), which captures formally and abstractly the intuitions of adding support for behavioral equivalence and reasoning to an existing, particular algebraic framework. We call our transformation an “extension” because \({\mathcal I}_{beh}\) has the same sentences as \({\mathcal I}\) and because its entailment relation includes that of \({\mathcal I}\). Many properties of behavioral equivalence in concrete hidden logics follow as special cases of corresponding institutional results. As expected, the presented constructions and results can be instantiated to other logics satisfying our requirements as well, thus leading to novel behavioral logics, such as partial or infinitary ones, that have the desired properties.
Supported in part by joint NSF/NASA grant CCF-0234524, by NSF CAREER grant CCF-0448501, and by NSF grant CNS-0509321.
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Popescu, A., Roşu, G. (2005). Behavioral Extensions of Institutions. In: Fiadeiro, J.L., Harman, N., Roggenbach, M., Rutten, J. (eds) Algebra and Coalgebra in Computer Science. CALCO 2005. Lecture Notes in Computer Science, vol 3629. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11548133_21
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DOI: https://doi.org/10.1007/11548133_21
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