𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Subrecursive degrees and fragments of Peano Arithmetic

✍ Scribed by Lars Kristiansen


Publisher
Springer
Year
2001
Tongue
English
Weight
243 KB
Volume
40
Category
Article
ISSN
0933-5846

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Interstitial and pseudo gaps in models o
✍ Ermek S. Nurkhaidarov πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 111 KB πŸ‘ 1 views

In this paper we study the automorphism groups of models of Peano Arithmetic. Kossak, Kotlarski, and Schmerl [9] shows that the stabilizer of an unbounded element a of a countable recursively saturated model of Peano Arithmetic M is a maximal subgroup of Aut(M ) if and only if the type of a is selec

Fragments of Arithmetic and true sentenc
✍ AndrΓ©s CordΓ³n-Franco; Alejandro FernΓ‘ndez-Margarit; F. FΓ©lix Lara-MartΓ­n πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 246 KB

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

The Recursively Saturated Part of Models
✍ Henryk Kotlarski πŸ“‚ Article πŸ“… 1986 πŸ› John Wiley and Sons 🌐 English βš– 403 KB πŸ‘ 1 views

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