• Bruno Poizat
Part of the Universitext book series (UTX)


In this chapter we study the structures formed by well-known relations or operations on the universe N of natural numbers, also denoted by ω. We begin with the study of the successor function, which sends the number x to x + 1; the language will consist of a symbol s to denote this function, as well as a constant symbol to denote 0, the smallest natural number.


Natural Number Recursive Function Peano Arithmetic Quantifier Elimination Nonstandard Model 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Bruno Poizat
    • 1
  1. 1.Département des MathématiquesUniversite Claude Bernard Lyon IVilleurbanne CedexFrance

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