Exploring Noc21 Cs49 Lec24

Exploring Noc21 Cs49 Lec24 reveals several interesting facts.

  • Properties of logspace reductions such as transitivity, closure of L under such reductions. Path is NL-complete.
  • Introduced the permanent and determinant functions.
  • Completed proof of Immerman-Szelepscenyi Theorem. The Polynomial Hierarchy - motivation for studying, definition.
  • 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 Lec24

Valiant-Vazirani Theorem for USAT. Definition of the classes #P and ⊕P. #SAT is complete for #P. Closure of the ⊕ quantifier ... Proved that directed Hamiltonian path problem is NP-complete. The class coNP. Complete problem (SAT). Discussed why ... the proof by Razborov and Smolensky. 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, ...

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