A Decidable Fragment of Recursive Arithmetic
β Scribed by R. L. Goodstein
- Publisher
- John Wiley and Sons
- Year
- 1963
- Tongue
- English
- Weight
- 127 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
Paris and C. Dimitracopoulos, the class of the Ξ n+1-sentences true in the standard model is the only (up to deductive equivalence) consistent Ξ n+1-theory which extends the scheme of induction for parameter free Ξ n+1-formulas. Motivated by this result, we present a systematic study of extensions of b
## Abstract We show that that every countable model of __PA__ has a conservative extension __M__ with a subset __Y__ such that a certain Ξ£~1~(__Y__)βformula defines in __M__ a subset which is not r. e. relative to __Y__.