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Unexpected Hardness Results for Kolmogorov Complexity Under Uniform Reductions
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- 1 Intro
- 2 Talk Outline
- 3 Historical Motivation
- 4 Kolmogorov's Approach towards P
- 5 Hardness of Kolmogorov-Random Strings
- 6 Limits on Hardness Results for Kolmogorov-Random Strings
- 7 Conjectures on the Upper Bounds
- 8 Why plausible?
- 9 Kolmogorov-Randomness is "Harder" than Expected!
- 10 Pseudorandom Generator Construction
- 11 Security Proof of Hardness-Based PRGS
- 12 Advice Complexity of DP is Small
- 13 Deterministic Reductions and Hardness of Kolmogorov Complexity
- 14 SAT-Oracle MCSP
- 15 Other Results
- 16 Conclusions
