Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

The Polynomial Time Hierarchy: Graduate Complexity Lecture at CMU

Ryan O'Donnell via YouTube

Overview

Google, IBM & Meta Certificates – 40% Off
One Coursera Plus subscription covers most Professional Certificates on Coursera.
Unlock All Certificates
This graduate lecture introduces the polynomial-time hierarchy in computational complexity theory. It develops quantified-circuit and alternating-machine definitions, examines complexity classes and collapse questions, and relates the hierarchy to P versus NP.

Syllabus

Introduction
Polynomial Time Hierarchy
Quantifying over circuits
Defining complexity classes
Examples
Complexity Classes
There exists for all P
min circuit problem
min popular hypothesis
min unsurprising observation
min alternation

Taught by

Ryan O'Donnell

Reviews

Start your review of The Polynomial Time Hierarchy: Graduate Complexity Lecture at CMU

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.