Geodesic
Order with successors is not interprétable in RCF
Fundamenta Mathematicae, Tome 143 (1993) no. 3, pp. 281-285.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Using the monotonicity theorem of L. van den Dries for RCF-definable real functions, and a further result of that author about RCF-definable equivalence relations on ℝ, we show that the theory of order with successors is not interpretable in the theory RCF. This confirms a conjecture by J. Mycielski, P. Pudlák and A. Stern.
DOI : 10.4064/fm-143-3-281-285

S. Świerczkowski 1

1 
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S. Świerczkowski. Order with successors is not interprétable in RCF. Fundamenta Mathematicae, Tome 143 (1993) no. 3, pp. 281-285. doi : 10.4064/fm-143-3-281-285. http://geodesic.mathdoc.fr/articles/10.4064/fm-143-3-281-285/

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