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On the Consistency and Undecidability of Recursive Arithmetic

โœ Scribed by H. E. Rose


Publisher
John Wiley and Sons
Year
1961
Tongue
English
Weight
556 KB
Volume
7
Category
Article
ISSN
0044-3050

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Consistency of Heyting arithmetic in nat
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PA we define the rfcursively saturated part of XU by RS(9Jl) = ( a E $1: ( 3 8 < YJ?) ( a E )%I and 8 is recursively saturated)). We shall study various possibilities for the relationship between 912 and RS(XU). Tliii paper has grown out of our observation that it may happen that , D is a simple ex