Issue |
RAIRO-Theor. Inf. Appl.
Volume 54, 2020
|
|
---|---|---|
Article Number | 4 | |
Number of page(s) | 22 | |
DOI | https://doi.org/10.1051/ita/2020005 | |
Published online | 19 May 2020 |
Injective envelopes of transition systems and Ferrers languages*
1
Laboratoire Mathématiques et Applications, Département de Mathématiques, Faculté des Sciences et Techniques, Université Hassan II -Casablanca,
BP 146
Mohammedia, Morocco.
2
Univ. Lyon, Université Claude-Bernard Lyon1, CNRS UMR 5208, Institut Camille Jordan, 43 bd. 11 Novembre 1918, 69622 Villeurbanne Cedex, France and Mathematics & Statistics Department, University of Calgary,
Calgary,
Alberta, Canada.
** Corresponding author: pouzet@univ-lyon1.fr
Received:
4
July
2019
Accepted:
21
April
2020
We consider reflexive and involutive transition systems over an ordered alphabet A equipped with an involution. We give a description of the injective envelope of any two-element set in terms of Galois lattice, from which we derive a test of its finiteness. Our description leads to the notion of Ferrers language.
Mathematics Subject Classification: 06A15 / 06D20 / 46B85 / 68Q70 / 68R15
Key words: Metric spaces / injective envelopes / transition systems / Ferrers languages / ordered sets / interval orders / well-quasi-order
© The authors. Published by EDP Sciences, 2020
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