Title
An Ordinal Analysis Of Parameter Free Pi(1)(2)-Comprehension
Abstract
This paper is the second in a series of three culminating in an ordinal analysis of Pi(2)(1)-comprehension. Its objective is to present an ordinal analysis for the subsystem of second order arithmetic with Delta(2)(1)-comprehension, bar induction and Pi(2)(1)-comprehension for formulae without set parameters. Couched in terms of Kripke-Platek set theory, KP, the latter system corresponds to KPi augmented by the assertion that there exists a stable ordinal, where KPi is KP with an additional axiom stating that every set is contained in an admissible set.
Year
DOI
Venue
2005
10.1007/s00153-004-0232-4
ARCHIVE FOR MATHEMATICAL LOGIC
DocType
Volume
Issue
Journal
44
3
ISSN
Citations 
PageRank 
1432-0665
5
0.52
References 
Authors
5
1
Name
Order
Citations
PageRank
Michael Rathjen1426.58