RAIRO-Theor. Inf. Appl.
Volume 54, 2020
|Number of page(s)||22|
|Published online||19 May 2020|
Injective envelopes of transition systems and Ferrers languages*
Laboratoire Mathématiques et Applications, Département de Mathématiques, Faculté des Sciences et Techniques, Université Hassan II -Casablanca,
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: firstname.lastname@example.org
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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