Slide 1Complexity Theory Lecture 9 Lecturer: Moni Naor Slide 2 Recap Last week: –Toda’s Theorem: PH  P #P. –Program checking and hardness on the average of the permanent…

Slide 1 Probabilistic Proof System — An Introduction Deng Yi CCRG@NTU Slide 2 A Basic Question Suppose: You are all-powerful and can do cloud computing (i.e., whenever…

Slide 1 Dana Moshkovitz Slide 2 Back to NP L  NP iff members have short, efficiently checkable, certificates of membership. Is  satisfiable?  x 1 = truex 11 = true…

Slide 1 Slide 2 Part 3  Protocols 1 Protocols Slide 3 Part 3  Protocols 2 Protocols  Protocol flaws can be very subtle  Several well-known security protocols…

Slide 1 Zero-Knowledge Proof System Slides by Ouzy Hadad, Yair Gazelle & Gil Ben-Artzi Adapted from Ely Porat course lecture notes. Slide 2 Background and Motivation…

Slide 1 Zero Knowledge Proofs Slide 2 Interactive proof An Interactive Proof System for a language L is a two-party game between a verifier and a prover that interact on…

Zero-Knowledge Proof System Slides by Ouzy Hadad , Yair Gazelle & Gil Ben-Artzi Adapted from Ely Porat course lecture notes. Background and Motivation The purpose of…

Slide 1 1 Adapted from Oded Goldreich’s course lecture notes. Slide 2 2 Outline  Proof systems: NP revisited.  Interactive proofs  The complexity class IP …