Title
Notes on some second-order systems of iterated inductive definitions and Π11-comprehensions and relevant subsystems of set theory.
Abstract
Pohlers's ordinal analysis in his monograph [12] contains some flaws and thereby ends up with incorrect proof-theoretic ordinals of several systems. The present paper determines their correct proof-theoretic ordinals and also supplements [12] with the ordinal analysis of some other relevant impredicative systems.
Year
DOI
Venue
2015
10.1016/j.apal.2014.11.001
Annals of Pure and Applied Logic
Keywords
Field
DocType
03F05,03F15,03F35
Discrete mathematics,Set theory,Kripke–Platek set theory,Ordinal number,Ordinal notation,Ordinal analysis,Impredicativity,Ordinal arithmetic,Iterated function,Mathematics
Journal
Volume
Issue
ISSN
166
4
0168-0072
Citations 
PageRank 
References 
0
0.34
2
Authors
1
Name
Order
Citations
PageRank
Kentaro Fujimoto100.68