Exploring Noc21 Cs49 Lec39

Exploring Noc21 Cs49 Lec39 reveals several interesting facts.

  • Proved that directed Hamiltonian path problem is NP-complete. The class coNP. Complete problem (SAT). Discussed why ...
  • Complete problems for Σpi and Î pi. Why PH is not believed to have a complete problem?Alternating Turing Machines - definition, ...
  • Error reduction proof for BPP machines. BPP ⊆ P/poly.
  • Completed NP-hardness proof of SAT. SAT polynomial time reduces to 3SAT. Why stop at 3?
  • Set Lower Bound Protocol and Graph Non-Isomorphism is in AM.

In-Depth Information on Noc21 Cs49 Lec39

Showed C(EQ)≥n using the fooling set method. Introduced the permanent and determinant functions. Lower bounding the communication complexity of a function using the tiling method. Completed proof of Immerman-Szelepscenyi Theorem. The Polynomial Hierarchy - motivation for studying, definition.

the proof by Razborov and Smolensky.

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