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An exponential separation between regular and general resolution
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the thiry-fourth annual ACM symposium on Theory of computing table of contents
Montreal, Quebec, Canada
SESSION: Session 8A table of contents
Pages: 448 - 456  
Year of Publication: 2002
ISBN:1-58113-495-9
Authors
Michael Alekhnovich  Massachusetts Institute of Technology, Cambridge, MA
Jan Johannsen  Ludwig-Maximilians-Universität, München, Germany
Toniann Pitassi  University of Toronto, Toronto, ON, Canada
Alasdair Urquhart  University of Toronto, Toronto, ON, Canada
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 7,   Downloads (12 Months): 29,   Citation Count: 7
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ABSTRACT

Two distinct proofs of an exponential separation between regular resolution and unrestricted resolution are given. The previous best known separation between these systems was quasi-polynomial.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
P. Beame and T. Pitassi. Simplified and improved resolution lower bounds. In Proc. 28th ACM Symposium on Theory of Computing, 1996.
 
2
E. Ben-Sasson, R. Impagliazzo, and A. Wigderson. Near-optimal separation of tree-like and general resolution. ECCC TR00-005, 2000.
 
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J. Celoni, W. Paul, and R. Tarjan. Space bounds for a game on graphs. (MATH)ematical Systems Theory, 10:239--251, 1977.
 
7
S. Cook and R. Reckhow. The relative efficiency of propositional proof systems. Journal of Symbolic Logic, 6:169--184, 1979.
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A. Goerdt. Davis-Putnam resolution versus unrestricted resolution. Annals of (MATH)ematics and Artificial Intelligence, 6:1--3, 1992.
 
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G. Tseitin. On the complexity of derivation in propositional calculus. In A. O. Slisenko, editor, Studies in Constructive (MATH)ematics and (MATH)ematical Logic, Part 2, pages 115--125. Consultants Bureau, New York, 1970.
 
16
A. Urquhart. The complexity of propositional proofs. The Bulletin of Symbolic Logic, 1:425--467, 1995.


Collaborative Colleagues:
Michael Alekhnovich: colleagues
Jan Johannsen: colleagues
Toniann Pitassi: colleagues
Alasdair Urquhart: colleagues