Abstract
The concept of “institution” [GB84, GB92] has been proven to be appropriate to describe and classify a wide range of specification formalisms or logical systems respectively. But considering the relations between logical systems we are faced with many different kinds of relevant examples leading to an inflation of definitions of maps between institutions [Cer93, CM93, KM93, Mes89, SS92].
The present paper is devoted to overcome this divergence of definitions. Using the results in [TBG91] we analyze the concepts “institution” and “entailment system” [Mes89]. As a result we propose the concepts “institutional frame” and “institutional map” providing a new perspective on logical systems. Thereby we describe logical systems on the conceptual level of signatures, specifications, and subcategories of models respectively.
Finally we sketch how the introduced concepts can provide new insights into the nature of examples discussed in the literature.
This work has been partly supported by the German Ministry of Research and Technology (BMFT) as part of the project “KorSo — Korrekte Software”.
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Wolter, U. (1995). Institutional frames. In: Astesiano, E., Reggio, G., Tarlecki, A. (eds) Recent Trends in Data Type Specification. ADT COMPASS 1994 1994. Lecture Notes in Computer Science, vol 906. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0014445
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DOI: https://doi.org/10.1007/BFb0014445
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