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The Complexity of Propositional Proofs

Published online by Cambridge University Press:  15 January 2014

Nathan Segerlind
Nathan Segerlind*
Affiliation:
Department of Computer Science, Post Office Box 751, Portland State Univeristy, Portland, OR 97201, USA, E-mail: nsegerli@cs.pdx.edu
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Abstract

Propositional proof complexity is the study of the sizes of propositional proofs, and more generally, the resources necessary to certify propositional tautologies. Questions about proof sizes have connections with computational complexity, theories of arithmetic, and satisfiability algorithms. This is article includes a broad survey of the field, and a technical exposition of some recently developed techniques for proving lower bounds on proof sizes.

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Articles
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Bulletin of Symbolic Logic , Volume 13 , Issue 4 , December 2007 , pp. 417 - 481
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Copyright © Association for Symbolic Logic 2007

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References

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