THE ANALOGUE OF BÜCHI'S PROBLEM FOR RATIONAL FUNCTIONS

DOI10.1112/S0024610706023283zbMath1109.03032OpenAlexW4251191809MaRDI QIDQ3419771

Xavier Vidaux, Thanases Pheidas

Publication date: 7 February 2007

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610706023283

zbMATH Keywords

rational function fieldspositive-existential theory

Mathematics Subject Classification ID

Decidability and field theory (12L05) Model-theoretic algebra (03C60) Decidability of theories and sets of sentences (03B25) Model theory of fields (12L12)

Related Items (11)

A survey on Büchi's problem: new presentations and open problems ⋮ Sequences of powers with second differences equal to two and hyperbolicity ⋮ Uniform existential interpretation of arithmetic in rings of functions of positive characteristic ⋮ Representation of squares by monic second degree polynomials in the field of 𝑝-adic meromorphic functions ⋮ An extension of Büchi’s problem for polynomial rings in zero characteristic ⋮ Definability of Frobenius orbits and a result on rational distance sets ⋮ Büchi's problem for ultrametric meromorphic functions inside an open disk ⋮ Hensley's problem for complex and non-Archimedean meromorphic functions ⋮ The analogue of Büchi's problem for function fields ⋮ Büchi’s Problem in Modular Arithmetic for Arbitrary Quadratic Polynomials ⋮ Uniform positive existential interpretation of the integers in rings of entire functions of positive characteristic

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