University of Illinois Urbana-Champaign

Behavioral Extensions of Institutions

Popescu, Andrei; Rosu, Grigore

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Behavioral Extensions of Institutions.pdf

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https://hdl.handle.net/2142/11035

Description

Title
Behavioral Extensions of Institutions
Author(s)
  • Popescu, Andrei
  • Rosu, Grigore
Issue Date
2005-05
Keyword(s)
Formal systems
Date of Ingest
2009-04-17T19:27:54Z
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.
Type of Resource
text
Genre of Resource
Technical Report
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http://hdl.handle.net/2142/11035
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