Propositional proof systems, the consistency of first order theories and the complexity of computations

Journal of Symbolic Logic 54 (3):1063-1079 (1989)
Abstract
We consider the problem about the length of proofs of the sentences $\operatorname{Con}_S(\underline{n})$ saying that there is no proof of contradiction in S whose length is ≤ n. We show the relation of this problem to some problems about propositional proof systems
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2274765
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 29,567
Through your library
References found in this work BETA
On the Scheme of Induction for Bounded Arithmetic Formulas.A. J. Wilkie & J. B. Paris - 1987 - Annals of Pure and Applied Logic 35 (3):261-302.

Add more references

Citations of this work BETA
Propositional Consistency Proofs.Samuel R. Buss - 1991 - Annals of Pure and Applied Logic 52 (1-2):3-29.
Tautologies From Pseudo-Random Generators.Jan Krajicek - 2001 - Bulletin of Symbolic Logic 7 (2):197-212.
Extension Without Cut.Lutz Straßburger - 2012 - Annals of Pure and Applied Logic 163 (12):1995-2007.
Consistency, Optimality, and Incompleteness.Yijia Chen, Jörg Flum & Moritz Müller - 2013 - Annals of Pure and Applied Logic 164 (12):1224-1235.

View all 9 citations / Add more citations

Similar books and articles
Propositional Proof Systems and Fast Consistency Provers.Joost J. Joosten - 2007 - Notre Dame Journal of Formal Logic 48 (3):381-398.
Socratic Proofs.Andrzej Wiśniewski - 2004 - Journal of Philosophical Logic 33 (3):299-326.
Implicit Proofs.Jan Krajíček - 2004 - Journal of Symbolic Logic 69 (2):387 - 397.
The Complexity of Propositional Proofs.Nathan Segerlind - 2007 - Bulletin of Symbolic Logic 13 (4):417-481.
Added to PP index
2009-01-28

Total downloads
6 ( #566,408 of 2,180,802 )

Recent downloads (6 months)
1 ( #299,822 of 2,180,802 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums