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Towards Diagrammatic Specifications of Symbolic Computation Systems

Authors: César Dominguez, Dominique Duval, Laureano Lamban, and Julio Rubio Garcia

Published in: Dagstuhl Seminar Proceedings, Volume 5021, Mathematics, Algorithms, Proofs (2006)

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.

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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)

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@InProceedings{dominguez_et_al:DagSemProc.05021.22,
  author =	{Dominguez, C\'{e}sar and Duval, Dominique and Lamban, Laureano and Rubio Garcia, Julio},
  title =	{{Towards Diagrammatic Specifications of Symbolic Computation Systems}},
  booktitle =	{Mathematics, Algorithms, Proofs},
  pages =	{1--23},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{5021},
  editor =	{Thierry Coquand and Henri Lombardi and Marie-Fran\c{c}oise Roy},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.05021.22},
  URN =		{urn:nbn:de:0030-drops-2927},
  doi =		{10.4230/DagSemProc.05021.22},
  annote =	{Keywords: Specification, symbolic computation, sketches, diagrammatic logic}
}

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Towards Diagrammatic Specifications of Symbolic Computation Systems

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