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The Ethereal
Injective envelopes of transition systems and Ferrers languages
July 04, 2019 ยท The Ethereal ยท ๐ RAIRO - Theoretical Informatics and Applications
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Authors
Mustapha Kabil, Maurice Pouzet
arXiv ID
1907.02231
Category
math.CO: Combinatorics
Cross-listed
cs.IT
Citations
5
Venue
RAIRO - Theoretical Informatics and Applications
Last Checked
2 months ago
Abstract
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.
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