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ECCC
2010
72views more  ECCC 2010»
13 years 5 months ago
Paris-Harrington tautologies
We initiate the study of the proof complexity of propositional encoding of (weak cases of) concrete independence results. In particular we study the proof complexity of Paris-Harr...
Lorenzo Carlucci, Nicola Galesi, Massimo Lauria
AML
2011
204views Mathematics» more  AML 2011»
13 years 2 months ago
A note on propositional proof complexity of some Ramsey-type statements
Any valid Ramsey statement n −→ (k)2 2 can be encoded into a DNF formula RAM(n, k) of size O(nk) and with terms of size k 2 . Let rk be the minimal n for which the statement h...
Jan Krajícek