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Summary: Proving Lower Bounds via Pseudo-Random
Generators
Manindra Agrawal
IIT Kanpur
FSTTCS 2005
Manindra Agrawal (IIT Kanpur) Proving Lower Bounds FSTTCS 2005 1 / 73
Overview
1 Lower Bounds History
2 Pseudo-Random Generators
3 Applications of Time-Bounded Pseudo-Random
Generators
Derandomizing Randomized Algorithms
Formalizing Cryptographic Security
Lower Bounds
4 Lower Bounds on Boolean Circuits
5 Lower Bounds on Arithmetic Circuits
Manindra Agrawal (IIT Kanpur) Proving Lower Bounds FSTTCS 2005 2 / 73
Outline
1 Lower Bounds History
2 Pseudo-Random Generators
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