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A representation of convex semilinear sets

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Publication:987186
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DOI10.1007/s00012-010-0056-5zbMath1206.03038OpenAlexW2000829731MaRDI QIDQ987186

Philip Scowcroft

Publication date: 13 August 2010

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-010-0056-5


zbMATH Keywords

quantifier eliminationsemilinear setsdefinable set


Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Ordered rings, algebras, modules (06F25) Model theory of ordered structures; o-minimality (03C64)


Related Items (3)

Tropically convex constraint satisfaction ⋮ Existentially closed dimension groups ⋮ Max-Closed Semilinear Constraint Satisfaction



Cites Work

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  • Generalized halfspaces in dimension groups
  • The complexity of linear problems in fields
  • Dines-Fourier-Motzkin quantifier elimination and an application of corresponding transfer principles over ordered fields
  • Definable Sets in Ordered Structures. II
  • A note on definable Skolem functions
  • Nonnegative solvability of linear equations in certain ordered rings
  • Undecidable Rings
  • Embedding Theorems for Abelian Groups with Valuations


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