MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  Pigeonhole Principle PHP

Download:
pdf | ps
by Albert Atserias
http://www.cse.ucsc.edu/~atserias/pagina/papers/primes/w072.ps.gz
Add To MetaCart

Abstract:

Abstract. We show that the known bounded-depth proofs of the Weak

Citations

247 The relative efficiency of propositional proof systems – Cook, Reckhow - 1979
230 The intractability of resolution – Haken - 1985
142 Bounded Arithmetic, Propositional Logic, and Complexity Theory – Kraj'icek - 1995
120 Exponential lower bounds for the pigeonhole principle – Pitassi, Beame, et al. - 1993
104 The complexity of the pigeonhole principle – Ajtai - 1988
86 Proof Theory – Takeuti - 1987
73 Metamathematics of First-Order Arithmetic – Hájek, Pudlák - 1993
66 Provability of the pigeonhole principle and the existence of infinitely many primes – Paris, Wilkie, et al. - 1988
59 Polynomial size proofs of the Propositional Pigeonhole Principle – Buss - 1987
58 A Woods. Exponential lower bounds to the size of bounded depth Frege proofs of the pigeonhole principle. Random Structures and Algorithms – Krajíček, Pudlák - 1995
56 Resolution proofs of generalized pigeonhole principles – Buss, Turán - 1988
33 A new proof of the weak pigeonhole principle – Maciel, Pitassi, et al.
23 Some problems in logic and number theory and their connections – Woods - 1981
20 Time-space tradeoffs for satisfiability – Fortnow
19 On the complexity of SAT – Lipton, Viglas - 1999
17 Time-space tradeoffs for nondeterministic computation – Fortnow, Melkebeek - 2000
10 Fragments of Peano's arithmetic and the MRDP theorem – Gaifman, Dimitracopoulos - 1982
9 Division is in uniform TC – Hesse - 2001
8 Primes and their residue rings in models of open induction – Macintyre, Marker - 1989
6 Combinatorial principles in elementary number theory – Berarducci, Intrigila - 1991
2 Rudimentary predicates and Turing calculations – Nepomnjascij - 1970