Introduction to Noc21 Cs49 Lec37

Welcome to our comprehensive guide on Noc21 Cs49 Lec37. Parity not in AC0 - II.

Noc21 Cs49 Lec37 Comprehensive Overview

Revisited configuration graphs. Defined the Path problem (reachability problem in graphs). Stated space hierarchy theorem and ... Completed NP-hardness proof of SAT. SAT polynomial time reduces to 3SAT. Why stop at 3? Proof of Σp2=NPSAT. Introduction to Boolean circuits.

Complete problems for Σpi and Î pi. Why PH is not believed to have a complete problem?Alternating Turing Machines - definition, ...

Summary & Highlights for Noc21 Cs49 Lec37

  • MA⊆AM. If Graph Isomorphism is NP-complete then PH=Σp2 and.
  • the proof by Razborov and Smolensky.
  • Completed the hardness proof of permanent. Interactive proofs. Interactive proof with a deterministic verifier is same as NP.
  • Proved that directed Hamiltonian path problem is NP-complete. The class coNP. Complete problem (SAT). Discussed why ...
  • vA PSPACE complete problem -- TQBF. Levels of the polynomial hierarchy Σpi and Î pi and completeproblems for them.

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