Abstract : We consider lattices of regular sets of non negative integers, i.e. of sets definable in Presbuger arithmetic. We prove that if such a lattice is closed under decrement then it is also closed under many other functions: quotients by an integer, roots, etc.
https://hal.archives-ouvertes.fr/hal-01259673
Contributeur : Irene Guessarian
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Soumis le : jeudi 21 janvier 2016 - 10:10:44
Dernière modification le : vendredi 4 janvier 2019 - 17:33:38
Document(s) archivé(s) le : vendredi 11 novembre 2016 - 13:43:52
Patrick Cégielski, Serge Grigorieff, Guessarian Irene. On Lattices of Regular Sets of Natural Integers Closed under Decrementation. Information Processing Letters, Elsevier, 2014, 114, pp.197-202. 〈hal-01259673〉
