Understanding Noc21 Cs49 Lec08
Let's dive into the details surrounding Noc21 Cs49 Lec08. Properties of logspace reductions such as transitivity, closure of L under such reductions. Path is NL-complete.
Key Takeaways about Noc21 Cs49 Lec08
- the proof by Razborov and Smolensky.
- Completed proof of Immerman-Szelepscenyi Theorem. The Polynomial Hierarchy - motivation for studying, definition.
- BPP ⊆Σp2∩Πp2. The logspace classes BPL and RL. Undirected reachability in RL.
- Complete problems for Σpi and Πpi. Why PH is not believed to have a complete problem?Alternating Turing Machines - definition, ...
- Valiant-Vazirani Theorem for USAT. Definition of the classes #P and ⊕P. #SAT is complete for #P. Closure of the ⊕ quantifier ...
Detailed Analysis of Noc21 Cs49 Lec08
Introduced the permanent and determinant functions. MA⊆AM. If Graph Isomorphism is NP-complete then PH=Σp2 and. 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.
That wraps up our extensive overview of Noc21 Cs49 Lec08.