Exploring Noc21 Cs49 Lec19
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- Error reduction proof for BPP machines. BPP ⊆ P/poly.
- Showed C(EQ)≥n using the fooling set method.
- Proof of Σp2=NPSAT. Introduction to Boolean circuits.
- BPP ⊆Σp2∩Πp2. The logspace classes BPL and RL. Undirected reachability in RL.
- Valiant-Vazirani Theorem for USAT. Definition of the classes #P and ⊕P. #SAT is complete for #P. Closure of the ⊕ quantifier ...
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. the proof by Razborov and Smolensky. Proved that directed Hamiltonian path problem is NP-complete. The class coNP. Complete problem (SAT). Discussed why ...
Introduction to probabilistic computations. Definition of probabilistic TMs. Running time, acceptance criterion and difference ...
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