iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: http://projecteuclid.org/euclid.jsl/1294171002
On the non-confluence of cut-elimination
March 2011 On the non-confluence of cut-elimination
Matthias Baaz, Stefan Hetzl
J. Symbolic Logic 76(1): 313-340 (March 2011). DOI: 10.2178/jsl/1294171002

Abstract

We study cut-elimination in first-order classical logic. We construct a sequence of polynomial-length proofs having a non-elementary number of different cut-free normal forms. These normal forms are different in a strong sense: they not only represent different Herbrand-disjunctions but also differ in their propositional structure.

This result illustrates that the constructive content of a proof in classical logic is not uniquely determined but rather depends on the chosen method for extracting it.

Citation

Download Citation

Matthias Baaz. Stefan Hetzl. "On the non-confluence of cut-elimination." J. Symbolic Logic 76 (1) 313 - 340, March 2011. https://doi.org/10.2178/jsl/1294171002

Information

Published: March 2011
First available in Project Euclid: 4 January 2011

zbMATH: 1220.03048
MathSciNet: MR2791350
Digital Object Identifier: 10.2178/jsl/1294171002

Rights: Copyright © 2011 Association for Symbolic Logic

JOURNAL ARTICLE
28 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.76 • No. 1 • March 2011
Back to Top