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Categorical concepts for parameterized partial specifications†

Published online by Cambridge University Press:  04 March 2009

Ingo Claßen ,
Martin GroßE-Rhode  and
Uwe Wolter
Ingo Claßen
Affiliation:
Technische Universität Berlin, FB Informatik, Sekr. FR 6-1, Franklinstr. 28/29 10587 Berlin, Germany
Martin GroßE-Rhode
Affiliation:
Technische Universität Berlin, FB Informatik, Sekr. FR 6-1, Franklinstr. 28/29 10587 Berlin, Germany
Uwe Wolter
Affiliation:
Technische Universität Berlin, FB Informatik, Sekr. FR 6-1, Franklinstr. 28/29 10587 Berlin, Germany
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Abstract

Categorical constructions inherent to a theory of algebras with strict partial operations are presented and exploited to provide a categorical deduction calculus for conditional existence equations and an alternative definition of such algebras based on the notion of syntactic categories. A compact presentation of the structural theory of parameterized (partial) specifications is given using the categorical approach. This theory is shown to be suitable for providing initial semantics as well as the compositionality results necessary for the definition of specification languages like ACT ONE and ACT TWO

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 5 , Issue 2 , June 1995 , pp. 153 - 188
Copyright
Copyright © Cambridge University Press 1995

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