Ordinal collapsing function: Difference between revisions

Revision as of 01:19, 9 December 2010

Revision as of 20:10, 31 March 2011

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* {{cite journal | last=Rathjen | first=Michael | title=Proof-theoretic analysis of KPM | journal=Archive for Mathematical Logic | volume=30 | year=1991 | pages=377–403 | doi=10.1007/BF01621475 }}

* {{cite journal | last=Rathjen | first=Michael | title=Proof theory of reflection | journal=Annals of Pure and Applied Logic | volume=68 | year=1994 | pages=181–224 | url=http://www.maths.leeds.ac.uk/~rathjen/ehab.pdf | doi=10.1016/0168-0072(94)90074-4 }}

* {{cite journal | last=Rathjen | first=Michael | title=Recent Advances in Ordinal Analysis: <math>\Pi^1_2</math>-CA and Related Systems | journal=The Bulletin of Symbolic Logic | volume=1 | year=1995 | pages=468&ndash;485 | url=http://www.math.ucla.edu/~asl/bsl/0104/0104-004.ps | doi=10.2307/421132 | jstor=10.2307/421132 | issue=4 | publisher=Association for Symbolic Logic}}

* {{cite journal | last=Kahle | first=Reinhard | title=Mathematical proof theory in the light of ordinal analysis | journal=Synthese | volume=133 | year=2002 | pages=237&ndash;255 | doi=10.1023/A:1020892011851 }}

* {{cite journal | last=Rathjen | first=Michael | title=An ordinal analysis of stability | journal=Archive for Mathematical Logic | volume=44 | year=2005 | pages=1&ndash;62 | url=http://www.maths.leeds.ac.uk/~rathjen/NSTAB.ps | doi=10.1007/s00153-004-0226-2 }}