Exploring Noc21 Cs49 Lec40

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  • Set Lower Bound Protocol and Graph Non-Isomorphism is in AM.
  • Lower bounding the communication complexity of a function using the tiling method.
  • the proof by Razborov and Smolensky.
  • MA⊆AM. If Graph Isomorphism is NP-complete then PH=Σp2 and.
  • BPP ⊆Σp2∩Πp2. The logspace classes BPL and RL. Undirected reachability in RL.

In-Depth Information on Noc21 Cs49 Lec40

The two views of considering the PCP Theorem -- as a locally and probabilistically checkable proof system, and as a hardness ... 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, ... Introduction ...

Completed proof of Immerman-Szelepscenyi Theorem. The Polynomial Hierarchy - motivation for studying, definition.

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