On Lattices of Regular Sets of Natural Integers Closed under Decrementation

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.
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Pré-publication, Document de travail
2013
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https://hal.archives-ouvertes.fr/hal-00870130
Contributeur : Irene Guessarian <>
Soumis le : samedi 5 octobre 2013 - 13:32:55
Dernière modification le : jeudi 15 novembre 2018 - 20:26:56

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Patrick Cegielski, Serge Grigorieff, Irene Guessarian. On Lattices of Regular Sets of Natural Integers Closed under Decrementation. 2013. 〈hal-00870130〉

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