Overview
Explore the fundamental concepts of Probabilistically Checkable Proofs (PCP) in this comprehensive lecture by Irit Dinur from the Weizmann Institute. Delve into topics such as recoloring, constraint satisfaction, and the PCP Theorem. Gain insights into the dramatized perspective of proof pie, PCP verifier, and verifier parameters. Examine the hardness of approximation and approximation algorithms. Presented as part of the Probability, Geometry, and Computation in High Dimensions Boot Camp at the Simons Institute, this hour-long talk provides a crash course on PCP, offering a solid foundation for further study in computational complexity theory.
Syllabus
Introduction
What is Recoloring
Constraint Satisfaction
PCP Theorem
Questions
dramatized perspective
Proof Pie
PCP Verifier
Verifier Parameters
Hardness of approximation
approximation algorithms
Summary
Taught by
Simons Institute