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Definable sets and expansions of models of Peano arithmetic

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Publication:1102945
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DOI10.1007/BF01625830zbMath0645.03031OpenAlexW2059930981MaRDI QIDQ1102945

Roman Murawski

Publication date: 1988

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01625830


zbMATH Keywords

Peano arithmeticcountable modelsnonstandard modelsatisfaction classesrecursively saturated modelexpandabilitynonstandard definability


Mathematics Subject Classification ID

Nonstandard models of arithmetic (03H15) Models of arithmetic and set theory (03C62)


Related Items (1)

A note on the variety of satisfaction classes




Cites Work

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  • Pointwise definable substructures of models of Peano arithmetic
  • On expandability of models of Peano arithmetic. I
  • On elementary cuts in recursively saturated models of Peano Arithmetic
  • Mutually generic classes and incompatible expansions
  • Some Remarks on the Structure of Expansions
  • Indicators, recursive saturation and expandability
  • Second order arithmetic and related topics
  • Toward model theory through recursive saturation




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