Exploring Noc21 Cs49 Lec40

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  • 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.
  • Properties of logspace reductions such as transitivity, closure of L under such reductions. Path is NL-complete.
  • the proof by Razborov and Smolensky.
  • Introduction ...

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 ... Completed the hardness proof of permanent. Interactive proofs. Interactive proof with a deterministic verifier is same as NP. Complete problems for Σpi and Î pi. Why PH is not believed to have a complete problem?Alternating Turing Machines - definition, ...

BPP ⊆Σp2∩Πp2. The logspace classes BPL and RL. Undirected reachability in RL.

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