DagSemProc.05021.22.pdf
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Towards Diagrammatic Specifications of Symbolic Computation Systems
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Dagstuhl Seminar Proceedings, Volume 5021
Series: Dagstuhl Seminar Proceedings (DagSemProc) - License:
Creative Commons Attribution 4.0 International license
- Publication Date: 2006-01-16
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César Dominguez, Dominique Duval, Laureano Lamban, and Julio Rubio Garcia. Towards Diagrammatic Specifications of Symbolic Computation Systems. In Mathematics, Algorithms, Proofs. Dagstuhl Seminar Proceedings, Volume 5021, pp. 1-23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)
https://doi.org/10.4230/DagSemProc.05021.22
https://doi.org/10.4230/DagSemProc.05021.22
Abstract
The aim of this work is to present an ongoing project to
formalize, in the framework of diagrammatic logic (due to
Dominique Duval and Christian Lair) some data structures appearing
in Sergeraert's symbolic computation systems Kenzo and EAT. More
precisely, we intend to translate into the diagrammatic setting a
previous work based on standard algebraic specification
techniques. In particular, we give hints on the reason why an
important construction (called imp construction) in the
specification of the systems can be understood as a freely
generating functor between suitable categories of diagrammatic
realizations. Even if very partial, these positive results seem to
indicate that this new kind of specification is promising in the
field of symbolic computation.
Keywords
- Specification
- symbolic computation
- sketches
- diagrammatic logic
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