Exploring Noc21 Cs49 Lec04
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- the proof by Razborov and Smolensky.
- vA PSPACE complete problem -- TQBF. Levels of the polynomial hierarchy Σpi and Πpi and completeproblems for them.
- Error reduction proof for BPP machines. BPP ⊆ P/poly.
- Complete problems for Σpi and Πpi. Why PH is not believed to have a complete problem?Alternating Turing Machines - definition, ...
- Completed proof of Immerman-Szelepscenyi Theorem. The Polynomial Hierarchy - motivation for studying, definition.
In-Depth Information on Noc21 Cs49 Lec04
Proved that directed Hamiltonian path problem is NP-complete. The class coNP. Complete problem (SAT). Discussed why ... The two views of considering the PCP Theorem -- as a locally and probabilistically checkable proof system, and as a hardness ... Valiant-Vazirani Theorem for USAT. Definition of the classes #P and ⊕P. #SAT is complete for #P. Closure of the ⊕ quantifier ... MA⊆AM. If Graph Isomorphism is NP-complete then PH=Σp2 and.
Properties of logspace reductions such as transitivity, closure of L under such reductions. Path is NL-complete.
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