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Coalgebra Semantics for Hidden Algebra: Parameterised Objects and Inheritance

Cirstea, Corina, (1998) Coalgebra Semantics for Hidden Algebra: Parameterised Objects and Inheritance Parisi-Presicce, F. (ed.) At 12th International Workshop on Algebraic Development Techniques. , pp. 174-189.

Record type: Conference or Workshop Item (Paper)

Abstract

The theory of hidden algebras combines standard algebraic techniques with coalgebraic techniques to provide a semantic foundation for the object paradigm. This paper focuses on the coalgebraic aspect of hidden algebra, concerned with signatures of destructors at the syntactic level and with finality and cofree constructions at the semantic level. Our main result shows the existence of cofree constructions induced by maps between coalgebraic hidden specifications. Their use in giving a semantics to parameterised objects and inheritance is then illustrated. The cofreeness result for hidden algebra is generalised to abstract coalgebra and a universal construction for building object systems over existing subsystems is obtained. Finally, existence of final/cofree constructions for arbitrary hidden specifications is discussed.

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Published date: 1998
Venue - Dates: 12th International Workshop on Algebraic Development Techniques, 1998-01-01
Organisations: Electronic & Software Systems

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Local EPrints ID: 263008
URI: http://eprints.soton.ac.uk/id/eprint/263008
PURE UUID: a6f3d032-b0ac-4624-8e1a-944a6f1362ab

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Date deposited: 21 Sep 2006
Last modified: 18 Jul 2017 08:45

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Contributors

Author: Corina Cirstea
Editor: F. Parisi-Presicce

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