Slide 1Foundations of Cryptography Lecture 10 Lecturer: Moni Naor Slide 2 Recap of Lecture 9 Hardcore predicates with public randomness The inner product bit: Goldreich-Levin…

Slide 1 1 L is in NP means: There is a language L’ in P and a polynomial p so that L 1 · L 2 means: For some polynomial time computable map r : 8 x: x 2 L 1 iff r(x) 2…

Joint work with: Parallel Computation and Algorithms by Raymond Greenlaw Armstrong Atlantic State University Larry Ruzzo Department of Computer Science University of Washington…

1 How to establish NP-hardness Lemma: If L1 is NP-hard and L1 ≤ L2 then L2 is NP-hard. 2 SAT SAT is in NP. Cook’s theorem (1972): SAT is NP-hard. 3 SAT SAT: Given a Boolean…

Slide 1 1 How to establish NP-hardness Lemma: If L1 is NP-hard and L1 ≤ L2 then L2 is NP-hard. 2 SAT SAT is in NP. Cook’s theorem (1972): SAT is NP-hard. 3 SAT SAT: Given…

1 SAT SAT: Given a Boolean function in CNF representation, is there a way to assign truth values to the variables so that the function evaluates to true? SAT: Given a CNF,…

1 How to establish NP-hardness Lemma: If L1 is NP-hard and L1 ≤ L2 then L2 is NP-hard. 2 SAT SAT is in NP. Cook’s theorem (1972): SAT is NP-hard. 3 SAT SAT: Given a Boolean…

Joint work with: Parallel Computation and Algorithms by Raymond Greenlaw Armstrong Atlantic State University Larry Ruzzo Department of Computer Science University of Washington…