Presburger arithmetic and recognizability of sets of natural numbers by automata: New proofs of Cobham's and Semenov's theorems-Reference-Cited by-同舟云学术

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Presburger arithmetic and recognizability of sets of natural numbers by automata: New proofs of Cobham's and Semenov's theorems

Published:1996-02 Issue:3 Volume:77 Page:251-277
ISSN:0168-0072
Container-title:Annals of Pure and Applied Logic
language:en
Short-container-title:Annals of Pure and Applied Logic

Author:

Michaux Christian,Villemaire Roger

Publisher

Elsevier BV

Subject

Logic

Reference21 articles.

1. Rational Series and their Languages;Berstel,1988

2. Entiers et automates finis;Bruyère,1984

3. logic and p-recognizable sets of integers;Bruyère,1994

4. Weak second-order arithmetic and finite automata;Büchi;Z. Math. Logik Grundlagen Math.,1960

5. On the base-dependence of sets of numbers reecognizable by finite-automata;Cobham;Math. Systems Theory,1969

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1. On o-Stable Expansions of $$\boldsymbol{(\mathbb{Z},<,+)}$$;Lobachevskii Journal of Mathematics;2023-12

2. Quantitative estimates for the size of an intersection of sparse automatic sets;Theoretical Computer Science;2023-10

3. An asymptotic version of Cobham’s theorem;Acta Arithmetica;2023

4. Externally definable quotients and NIP expansions of the real ordered additive group;Transactions of the American Mathematical Society;2021-12-23

5. Expansions of Presburger arithmetic with the exchange property;Mathematical Logic Quarterly;2021-10-14

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