Exploring Noc21 Cs49 Lec19
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- Completed NP-hardness proof of SAT. SAT polynomial time reduces to 3SAT. Why stop at 3?
- Error reduction proof for BPP machines. BPP ⊆ P/poly.
- Proof of Σp2=NPSAT. Introduction to Boolean circuits.
- Set Lower Bound Protocol and Graph Non-Isomorphism is in AM.
- Showed C(EQ)≥n using the fooling set method.
In-Depth Information on Noc21 Cs49 Lec19
Definition of StrongBPP and WeakBPP. Completed proof of Immerman-Szelepscenyi Theorem. The Polynomial Hierarchy - motivation for studying, definition. Proved that directed Hamiltonian path problem is NP-complete. The class coNP. Complete problem (SAT). Discussed why ... the proof by Razborov and Smolensky.
BPP ⊆Σp2∩Πp2. The logspace classes BPL and RL. Undirected reachability in RL.
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