Behavioral Extensions of Institutions

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This work has been published both as a conference paper (CALCO'05) and as a technical report.

[edit] CALCO'05

Andrei Popescu and Grigore Rosu
CALCO'05, LNCS 3629, pp. 331-347. 2005
Abstract. We show that any institution \mathcal{I} satisfying some reasonable conditions can be transformed into another institution, {\mathcal{I}}_{beh}. This transformation 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, infinitary, or second-order ones, that have the desired properties.
PDF, CALCO'05 Slides, LNCS , CALCO '05, DBLP, BIB


[edit] Technical Report

Andrei Popescu and Grigore Rosu
Technical Report UIUCDCS-R-2005-2582, May 2005
Abstract. We show that any institution \mathcal{I} satisfying some reasonable conditions can be transformed into another institution, {\mathcal{I}}_{beh}. This transformation 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, infinitary, or second-order ones, that have the desired properties.
PDF, Technical report's page, BIB

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