The University of Southampton
University of Southampton Institutional Repository

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)


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.

PDF 1376.pdf - Other
Download (1MB)

More information

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


Local EPrints ID: 263008
PURE UUID: a6f3d032-b0ac-4624-8e1a-944a6f1362ab

Catalogue record

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

Export record


Author: Corina Cirstea
Editor: F. Parisi-Presicce

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.