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Semantic Constructions for Hidden Algebra

Semantic Constructions for Hidden Algebra
Semantic Constructions for Hidden Algebra
Hidden algebra is a behavioural algebraic specification formalism for objects. It captures their constructional aspect, concerned with the initialisation and evolution of their states, as well as their observational aspect, concerned with the observable behaviour of such states. When attention is restricted to the observational aspect, final/cofree constructions provide suitable denotations for the specification techniques involved. However, when the constructional aspect is integrated with the observational one, the presence of nondeterminism in specifications prevents the existence of final/cofree algebras. It is shown here that final/cofree families of algebras exist in this case, with each algebra in such a family resolving the nondeterminism in a particular way. Existence of final/cofree families yields a canonical way of constructing algebras of structured specifications from algebras of the component specifications. Finally, a layered approach to specifying complex objects in hidden algebra is presented, with the semantics still involving final/cofree families.
63-78
Cirstea, Corina
ce5b1cf1-5329-444f-9a76-0abcc47a54ea
Fiadeiro, J.L.
9a0ca479-ce03-416b-b566-2fe8ae63ff9d
Cirstea, Corina
ce5b1cf1-5329-444f-9a76-0abcc47a54ea
Fiadeiro, J.L.
9a0ca479-ce03-416b-b566-2fe8ae63ff9d

Cirstea, Corina, (1998) Semantic Constructions for Hidden Algebra Fiadeiro, J.L. (ed.) At 13th International Workshop on Algebraic Development Techniques. , pp. 63-78.

Record type: Conference or Workshop Item (Paper)

Abstract

Hidden algebra is a behavioural algebraic specification formalism for objects. It captures their constructional aspect, concerned with the initialisation and evolution of their states, as well as their observational aspect, concerned with the observable behaviour of such states. When attention is restricted to the observational aspect, final/cofree constructions provide suitable denotations for the specification techniques involved. However, when the constructional aspect is integrated with the observational one, the presence of nondeterminism in specifications prevents the existence of final/cofree algebras. It is shown here that final/cofree families of algebras exist in this case, with each algebra in such a family resolving the nondeterminism in a particular way. Existence of final/cofree families yields a canonical way of constructing algebras of structured specifications from algebras of the component specifications. Finally, a layered approach to specifying complex objects in hidden algebra is presented, with the semantics still involving final/cofree families.

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Published date: 1998
Venue - Dates: 13th International Workshop on Algebraic Development Techniques, 1998-01-01
Organisations: Electronic & Software Systems

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Local EPrints ID: 263007
URI: http://eprints.soton.ac.uk/id/eprint/263007
PURE UUID: 548a8a9d-990e-4bd6-b2ef-f825bc32e5ee

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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: J.L. Fiadeiro

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