Voir la notice de l'article dans Numdam
The specification of the data structures used in EAT, a software system for symbolic computation in algebraic topology, is based on an operation that defines a link among different specification frameworks like hidden algebras and coalgebras. In this paper, this operation is extended using the notion of institution, giving rise to three institution encodings. These morphisms define a commutative diagram which shows three possible views of the same construction, placing it in an equational algebraic institution, in a hidden institution or in a coalgebraic institution. Moreover, these morphisms can be used to obtain a new description of the final objects of the categories of algebras in these frameworks, which are suitable abstract models for the EAT data structures. Thus, our main contribution is a formalization allowing us to encode a family of data structures by means of a single algebra (which can be described as a coproduct on the image of the institution morphisms). With this aim, new particular definitions of hidden and coalgebraic institutions are presented.
Mots-clés : institution, symbolic computation, specification, object orientation
@article{ITA_2007__41_2_191_0,
author = {Dom{\'\i}nguez, C\'esar and Lamb\'an, Laureano and Rubio, Julio},
title = {Object oriented institutions to specify symbolic computation systems},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {191--214},
publisher = {EDP-Sciences},
volume = {41},
number = {2},
year = {2007},
doi = {10.1051/ita:2007015},
mrnumber = {2350644},
language = {en},
url = {https://geodesic-test.mathdoc.fr/articles/10.1051/ita:2007015/}
}
TY - JOUR AU - Domínguez, César AU - Lambán, Laureano AU - Rubio, Julio TI - Object oriented institutions to specify symbolic computation systems JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2007 SP - 191 EP - 214 VL - 41 IS - 2 PB - EDP-Sciences UR - https://geodesic-test.mathdoc.fr/articles/10.1051/ita:2007015/ DO - 10.1051/ita:2007015 LA - en ID - ITA_2007__41_2_191_0 ER -
%0 Journal Article %A Domínguez, César %A Lambán, Laureano %A Rubio, Julio %T Object oriented institutions to specify symbolic computation systems %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2007 %P 191-214 %V 41 %N 2 %I EDP-Sciences %U https://geodesic-test.mathdoc.fr/articles/10.1051/ita:2007015/ %R 10.1051/ita:2007015 %G en %F ITA_2007__41_2_191_0
Domínguez, César; Lambán, Laureano; Rubio, Julio. Object oriented institutions to specify symbolic computation systems. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 41 (2007) no. 2, pp. 191-214. doi : 10.1051/ita:2007015. https://geodesic-test.mathdoc.fr/articles/10.1051/ita:2007015/
Cité par Sources :