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This graduate lecture explains the theorem IP = PSPACE, focusing on interactive proof systems, Merlin–Arthur protocols, polynomial methods, and the relationship between randomness, interaction, and computational complexity.
Syllabus
Introduction
General Scenario
Interactive Proof Systems
Going My Prime
Interactive Proof
Protocol
Univariate polynomial
Motivation
Merlin
Arthur
Interlude
Sharp P
Instance checkers
Interactive proofs vs instance checkers
Merlin as an Oracle
Taught by
Ryan O'Donnell