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The Complexity of Propositional Proofs

Nathan Segerlind
The Bulletin of Symbolic Logic
Vol. 13, No. 4 (Dec., 2007), pp. 417-481
Stable URL: http://www.jstor.org/stable/4500772
Page Count: 65
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The Complexity of Propositional Proofs
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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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