Exploring Noc21 Cs49 Lec21

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  • Introduced the permanent and determinant functions.
  • Proved that directed Hamiltonian path problem is NP-complete. The class coNP. Complete problem (SAT). Discussed why ...
  • BPP ⊆Σp2∩Πp2. The logspace classes BPL and RL. Undirected reachability in RL.
  • Set Lower Bound Protocol and Graph Non-Isomorphism is in AM.
  • Completed the hardness proof of permanent. Interactive proofs. Interactive proof with a deterministic verifier is same as NP.

In-Depth Information on Noc21 Cs49 Lec21

Error reduction proof for BPP machines. BPP ⊆ P/poly. Complete problems for Σpi and Î pi. Why PH is not believed to have a complete problem?Alternating Turing Machines - definition, ... MA⊆AM. If Graph Isomorphism is NP-complete then PH=Σp2 and. Completed proof of Immerman-Szelepscenyi Theorem. The Polynomial Hierarchy - motivation for studying, definition.

Proof of Σp2=NPSAT. Introduction to Boolean circuits.

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