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Coalgebras for Binary Methods: Properties of Bisimulations and Invariants

Published online by Cambridge University Press:  15 April 2002

Hendrik Tews
Hendrik Tews*
Affiliation:
Institut für Theoretische Informatik, TU Dresden, D-01062 Dresden, Germany; e-mail: [email protected]
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Abstract

Coalgebras for endofunctors ${\mathcal C}\rightarrow{\mathcal C}$ can be used to model classes of object-oriented languages. However, binary methods do not fit directly into this approach. This paper proposes an extension of the coalgebraic framework, namely the use of extended polynomial functors${\mathcal C}^{op} \times {\mathcal C}\rightarrow{\mathcal C}$. This extension allows the incorporation of binary methods into coalgebraic class specifications. The paper also discusses how to define bisimulation and invariants for coalgebras of extended polynomial functors and proves many standard results.

Keywords

Binary methodcoalgebrabisimulationinvariantobject-orientation.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 35 , Issue 1: Coalgebraic Methods in Computer Science , January 2001 , pp. 83 - 111
Copyright
© EDP Sciences, 2001

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