Probabilistically Checkable Proofs What Theoretical Computer Science Discovered About Proofs Dana Moshkovitz The Institute For Advanced Study My Reflections About ...
Dana Moshkovitz. Joint work with Noga Alon and Muli Safra. Tel-Aviv University. 2. Dana Moshkovitz. Algorithmic Construction of Sets for k-Restrictions ...
Given a 3CNF , what fraction of the clauses can be satisfied simultaneously? 3 ... Distinguisher(x): * If C(x) A, return YES' * Otherwise return NO' A. B. 14 ...
Based on lectures notes by. Alistair Sinclair and Eric Vigoda. Subjects: ... Goal: Given a connected undirected graph G=(V,E), sample a spanning tree of G. ...
set-cover gadget. separating codes. superimposed codes. color ... Gadget: a succinct set-cover instance so that: a small, illegal sub-collection is not a cover. ...
Gap-3-SAT-7. Gap-3-SAT. 3. Maximum Satisfaction. Def: Max-SAT. Instance: ... We define ( ) = maximum, over all assignments to Y, of the fraction of i satisfied ...
Solving ) Checking: If you can solve Sudoku yourself, you can compare to my ... Given any Sudoku riddle, given any solution, one can write the solution in a way ...
if 'enough' bi = f(ri), then output b. b. Repeat O(1/ 2) times, and take Majority ... DP Testing History. Given an oracle C : Uk Rk, is C gk ? #queries acc. prob. ...
denote V C V is a choice of one variable of each clause in C. 12. Parallel SAT ... Def: a distributional-assignment to is A: Z (R) Denote by ( ) the ...
1. Slides by Dana Moshkovitz. Adapted from Oded Goldreich's course lecture notes. ... In order to understand the notion of Proof Systems, let us reexamine NP ...