Exploring Noc21 Cs49 Lec22
Let's dive into the details surrounding Noc21 Cs49 Lec22.
- Error reduction proof for BPP machines. BPP ⊆ P/poly.
- 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.
- 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.
In-Depth Information on Noc21 Cs49 Lec22
BPP ⊆Σp2∩Πp2. The logspace classes BPL and RL. Undirected reachability in RL. Introduced the permanent and determinant functions. Set Lower Bound Protocol and Graph Non-Isomorphism is in AM. Complete problems for Σpi and Πpi. Why PH is not believed to have a complete problem?Alternating Turing Machines - definition, ...
The two views of considering the PCP Theorem -- as a locally and probabilistically checkable proof system, and as a hardness ...
That wraps up our extensive overview of Noc21 Cs49 Lec22.
