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» Hard examples for bounded depth frege
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COCO
1999
Springer
79views Algorithms» more  COCO 1999»
14 years 24 days ago
Non-Automatizability of Bounded-Depth Frege Proofs
In this paper, we show how to extend the argument due to Bonet, Pitassi and Raz to show that bounded-depth Frege proofs do not have feasible interpolation, assuming that factoring...
Maria Luisa Bonet, Carlos Domingo, Ricard Gavald&a...
AML
2011
204views Mathematics» more  AML 2011»
13 years 3 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
AAAI
2008
13 years 11 months ago
An Efficient Motion Planning Algorithm for Stochastic Dynamic Systems with Constraints on Probability of Failure
When controlling dynamic systems, such as mobile robots in uncertain environments, there is a trade off between risk and reward. For example, a race car can turn a corner faster b...
Masahiro Ono, Brian C. Williams