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TPHOL
2005
IEEE
14 years 1 months ago
Real Number Calculations and Theorem Proving
Wouldn’t it be nice to be able to conveniently use ordinary real number expressions within proof assistants? In this paper we outline how this can be done within a theorem provin...
César Muñoz, David Lester
JSYML
2006
91views more  JSYML 2006»
13 years 7 months ago
On the Herbrand notion of consistency for finitely axiomatizable fragments of bounded arithmetic theories
Modifying the methods of Z. Adamowicz's paper Herbrand consistency and bounded arithmetic (Fund. Math. 171 (2002)), we show that there exists a number n such that m Sm (the u...
Leszek Aleksander Kolodziejczyk
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
JCSS
2006
89views more  JCSS 2006»
13 years 7 months ago
Ramsey-type theorems for metric spaces with applications to online problems
A nearly logarithmic lower bound on the randomized competitive ratio for the metrical task systems problem is presented. This implies a similar lower bound for the extensively stu...
Yair Bartal, Béla Bollobás, Manor Me...
FOCS
1991
IEEE
13 years 11 months ago
Lower Bounds for the Complexity of Reliable Boolean Circuits with Noisy Gates
We prove that the reliable computation of any Boolean function with sensitivity s requires Ω(s log s) gates if the gates of the circuit fail independently with a fixed positive...
Anna Gál