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An extension of the Cobham-Semënov Theorem

Published online by Cambridge University Press:  12 March 2014

Alexis Bès
Alexis Bès*
Affiliation:
Llaic 1 and Team of Mathematical Logic, Paris 7, France
*
Correspondence address: Equipe de Logique Mathématique UPRESA 7048, Université Paris7, 2 place Jussieu, 75251 Paris Cedex 05, France, E-mail: bes@logique.jussieu.fr
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Abstract

Let θ, θ′ be two multiplicatively independent Pisot numbers, and let U, U′ be two linear numeration systems whose characteristic polynomial is the minimal polynomial of θ and θ′, respectively. For every n ≥ 1, if A ⊆ ℕn is U-and U′ -recognizable then A is definable in 〈ℕ: + 〉.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 1 , March 2000 , pp. 201 - 211
Copyright
Copyright © Association for Symbolic Logic 2000

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References

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