Order with successors is not interprétable in RCF
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چکیده
منابع مشابه
Order with successors is not interpretable in RCF
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. 1. Let RCF be the theory of real closed fields. We may view RCF as the ...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1993
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-143-3-281-285