Epsilon substitution for transfinite induction

Archive for Mathematical Logic 44 (4):397-412 (2005)
  Copy   BIBTEX

Abstract

We apply Mints’ technique for proving the termination of the epsilon substitution method via cut-elimination to the system of Peano Arithmetic with Transfinite Induction given by Arai.

Categories

Keywords

Reprint years

DOI

10.1007/s00153-004-0241-3

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Epsilon substitution method for theories of jump hierarchies.Toshiyasu Arai - 2002 - Archive for Mathematical Logic 41 (2):123-153.
Epsilon substitution method for [Π0 1, Π0 1]-FIX.T. Arai - 2005 - Archive for Mathematical Logic 44 (8):1009-1043.
Epsilon Substitution Method for [image] -FIX.Toshiyasu Arai - 2006 - Journal of Symbolic Logic 71 (4):1155 - 1188.
Exact bounds on epsilon processes.Toshiyasu Arai - 2011 - Archive for Mathematical Logic 50 (3-4):445-458.
Epsilon Substitution Method for $\Pi _{2}^{0}$ -FIX.Toshiyasu Arai - 2006 - Journal of Symbolic Logic 71 (4):1155 - 1188.
Strong termination for the epsilon substitution method.Grigori Mints - 1996 - Journal of Symbolic Logic 61 (4):1193-1205.
Epsilon substitution method for elementary analysis.Grigori Mints, Sergei Tupailo & Wilfried Buchholz - 1996 - Archive for Mathematical Logic 35 (2):103-130.
A propositional fragment of Le'sniewski's Ontology and its formulation by the tableau method.Arata Ishimoto & M. Kobayashi - 1982 - Studia Logica 41 (2/3):181-195.
Epsilon substitution method for ID1.Toshiyasu Arai - 2003 - Annals of Pure and Applied Logic 121 (2-3):163-208.
Hilbert's 'Verunglückter Beweis', the first epsilon theorem, and consistency proofs.Richard Zach - 2004 - History and Philosophy of Logic 25 (2):79-94.
Creature forcing and large continuum: the joy of halving.Jakob Kellner & Saharon Shelah - 2012 - Archive for Mathematical Logic 51 (1-2):49-70.

Analytics

Added to PP
2013-11-23

Downloads
76 (#213,869)

6 months
2 (#1,232,442)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Cut elimination for a simple formulation of epsilon calculus.Grigori Mints - 2008 - Annals of Pure and Applied Logic 152 (1):148-160.
Epsilon Substitution Method for [image] -FIX.Toshiyasu Arai - 2006 - Journal of Symbolic Logic 71 (4):1155 - 1188.
Epsilon substitution for $$\textit{ID}_1$$ ID 1 via cut-elimination.Henry Towsner - 2018 - Archive for Mathematical Logic 57 (5-6):497-531.

Add more citations

References found in this work

Epsilon substitution method for ID1.Toshiyasu Arai - 2003 - Annals of Pure and Applied Logic 121 (2-3):163-208.
Epsilon substitution method for theories of jump hierarchies.Toshiyasu Arai - 2002 - Archive for Mathematical Logic 41 (2):123-153.

Add more references