Understanding Noc21 Cs49 Lec30

Exploring Noc21 Cs49 Lec30 reveals several interesting facts. Completed the hardness proof of permanent. Interactive proofs. Interactive proof with a deterministic verifier is same as NP.

Key Takeaways about Noc21 Cs49 Lec30

  • Introduced the permanent and determinant functions.
  • Parity not in AC0 - II.
  • Proved that directed Hamiltonian path problem is NP-complete. The class coNP. Complete problem (SAT). Discussed why ...
  • Completed proof of Immerman-Szelepscenyi Theorem. The Polynomial Hierarchy - motivation for studying, definition.
  • The two views of considering the PCP Theorem -- as a locally and probabilistically checkable proof system, and as a hardness ...

Detailed Analysis of Noc21 Cs49 Lec30

MA⊆AM. If Graph Isomorphism is NP-complete then PH=Σp2 and. 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.

Properties of logspace reductions such as transitivity, closure of L under such reductions. Path is NL-complete.

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