Instructor : Andrej Bogdanov
Textbook : Computational complexity A conceptual perspective. Oded Goldreich
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topic | reading |
Computational problems. P and NP. Hierarchy theorems. | [pdf] |
Circuits. | [pdf] |
Constant depth circuits. Lower bounds. | [pdf] |
Logarithmic space. Barrington and Immerman-Szelepcsényi theorems. | [pdf] |
Randomized computation. | [pdf] |
Pseudorandomness. The Nisan-Wigderson generator. | [pdf] |
Random walks and eigenvalues. | [pdf] |
Expanders. Undirected connectivity in log-space. | [pdf] |
The polynomial-time hierarchy. Oracles. | [pdf] |
Counting problems. Toda's theorem. | [pdf] |
Interactive proofs. Guest lecture by Shengyu Zhang | [pdf] |
Probabilistically checkable proofs. | [pdf] |
Proof of the PCP theorem. | [pdf] |
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