Introduction to Noc21 Cs49 Lec09

Welcome to our comprehensive guide on Noc21 Cs49 Lec09. Completed proof of Immerman-Szelepscenyi Theorem. The Polynomial Hierarchy - motivation for studying, definition.

Noc21 Cs49 Lec09 Comprehensive Overview

Complete problems for Σpi and Î pi. Why PH is not believed to have a complete problem?Alternating Turing Machines - definition, ... Introduced the permanent and determinant functions. Proved that directed Hamiltonian path problem is NP-complete. The class coNP. Complete problem (SAT). Discussed why ...

Parity not in AC0 - II.

Summary & Highlights for Noc21 Cs49 Lec09

  • Showed C(EQ)≥n using the fooling set method.
  • Completed NP-hardness proof of SAT. SAT polynomial time reduces to 3SAT. Why stop at 3?
  • The two views of considering the PCP Theorem -- as a locally and probabilistically checkable proof system, and as a hardness ...
  • Properties of logspace reductions such as transitivity, closure of L under such reductions. Path is NL-complete.
  • Proof of Σp2=NPSAT. Introduction to Boolean circuits.

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