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 Title: Behavioral Extensions of Institutions Author(s): Popescu, Andrei; Rosu, Grigore Subject(s): Formal systems Abstract: We show that any institution I satisfying some reasonable conditions can be transformed into another institution, Ib, 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 Ib has the same sentences as I and because its entailment relation includes that of 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. Issue Date: 2005-05 Genre: Technical Report Type: Text URI: http://hdl.handle.net/2142/11035 Other Identifier(s): UIUCDCS-R-2005-2582 Rights Information: You are granted permission for the non-commercial reproduction, distribution, display, and performance of this technical report in any format, BUT this permission is only for a period of 45 (forty-five) days from the most recent time that you verified that this technical report is still available from the University of Illinois at Urbana-Champaign Computer Science Department under terms that include this permission. All other rights are reserved by the author(s). Date Available in IDEALS: 2009-04-17
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