The exact complexity of the weak pigeonhole principle is an old and fundamental problem in proof complexity. Using a diagonalization argument, J. B. Paris et al. (J. Symbolic Logic 53 (1988), 1235-1244) showed how to prove the weak pigeonhole principle with bounded-depth, quasipolynomialsize proofs.
The Pigeonhole Principle and Fragments of Arithmetic
β Scribed by C. Dimitracopoulos; J. Paris
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 380 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0044-3050
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