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Lattice of definability (of reducts) for integers with successor

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Publication:5033990
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DOI10.1070/IM9107MaRDI QIDQ5033990

A. L. Semenov, S. F. Soprunov

Publication date: 24 February 2022

Published in: Izvestiya: Mathematics (Search for Journal in Brave)


zbMATH Keywords

definabilityreductsSvenonius theorem


Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX)




Cites Work

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  • Presburgerness of predicates regular in two number systems
  • Lattice of definability in the order of rational numbers
  • A survey of homogeneous structures
  • Quelques problèmes combinatoires concernant les ordres totaux et les rélations monomorphes
  • The 42 reducts of the random ordered graph
  • The 116 reducts of (ℚ, <, a)
  • THERE ARE NO INTERMEDIATE STRUCTURES BETWEEN THE GROUP OF INTEGERS AND PRESBURGER ARITHMETIC
  • A combinatorial version of the Svenonius theorem on definability
  • The Lattice of Definability. Origins, Recent Developments, and Further Directions
  • Decidability and undecidability of extensions of second (first) order theory of (generalized) successor


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