Exploring Noc21 Cs49 Lec11
Exploring Noc21 Cs49 Lec11 reveals several interesting facts.
- Proved that directed Hamiltonian path problem is NP-complete. The class coNP. Complete problem (SAT). Discussed why ...
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- Properties of logspace reductions such as transitivity, closure of L under such reductions. Path is NL-complete.
- The two views of considering the PCP Theorem -- as a locally and probabilistically checkable proof system, and as a hardness ...
- L-uniform circuit families. Showed that there exists functions that require exponential size circuits (Shannon's Theorem). Showed ...
In-Depth Information on Noc21 Cs49 Lec11
Complete problems for Σpi and Πpi. Why PH is not believed to have a complete problem?Alternating Turing Machines - definition, ... Lower bounding the communication complexity of a function using the tiling method. Completed NP-hardness proof of SAT. SAT polynomial time reduces to 3SAT. Why stop at 3? Completed proof of Immerman-Szelepscenyi Theorem. The Polynomial Hierarchy - motivation for studying, definition.
Notion of NP-completeness. Polynomial time many-one reductions. Properties of the reduction such as transitivity, closure of ...
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