English

Injective envelopes of transition systems and Ferrers languages

Combinatorics 2019-07-05 v1 Information Theory math.IT

Abstract

We consider reflexive and involutive transition systems over an ordered alphabet AA 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.

Keywords

Cite

@article{arxiv.1907.02231,
  title  = {Injective envelopes of transition systems and Ferrers languages},
  author = {Mustapha Kabil and Maurice Pouzet},
  journal= {arXiv preprint arXiv:1907.02231},
  year   = {2019}
}

Comments

23 pages