Exploring Noc21 Cs49 Lec40
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- Lower bounding the communication complexity of a function using the tiling method.
- Completed proof of Immerman-Szelepscenyi Theorem. The Polynomial Hierarchy - motivation for studying, definition.
- Properties of logspace reductions such as transitivity, closure of L under such reductions. Path is NL-complete.
- the proof by Razborov and Smolensky.
- Introduction ...
In-Depth Information on Noc21 Cs49 Lec40
The two views of considering the PCP Theorem -- as a locally and probabilistically checkable proof system, and as a hardness ... Proved that directed Hamiltonian path problem is NP-complete. The class coNP. Complete problem (SAT). Discussed why ... Completed the hardness proof of permanent. Interactive proofs. Interactive proof with a deterministic verifier is same as NP. Complete problems for Σpi and Πpi. Why PH is not believed to have a complete problem?Alternating Turing Machines - definition, ...
BPP ⊆Σp2∩Πp2. The logspace classes BPL and RL. Undirected reachability in RL.
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