14. Understanding P vs NP, SAT, and Polynomial-Time Reductions 🔍
Explore the fundamentals of computational complexity, including P vs NP, SAT problems, and polynomial-time reductions, in MIT's Theory of Computation course with Professor Sipser.

MIT OpenCourseWare
36.2K views • Oct 6, 2021

About this video
MIT 18.404J Theory of Computation, Fall 2020
Instructor: Michael Sipser
View the complete course: https://ocw.mit.edu/18-404JF20
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY
NOTE: There is no video for Lecture 13 as that was the day for the Midterm Exam.
Quickly reviewed last lecture. Defined NTIME(t(n)) complexity classes and the class NP. Showed that COMPOSITES is in NP. Discussed the P versus NP question. Proved that acceptance problem for CFG is in P. Introduced the satisfiability problem SAT and polynomial-time reducibility.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Instructor: Michael Sipser
View the complete course: https://ocw.mit.edu/18-404JF20
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY
NOTE: There is no video for Lecture 13 as that was the day for the Midterm Exam.
Quickly reviewed last lecture. Defined NTIME(t(n)) complexity classes and the class NP. Showed that COMPOSITES is in NP. Discussed the P versus NP question. Proved that acceptance problem for CFG is in P. Introduced the satisfiability problem SAT and polynomial-time reducibility.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Tags and Topics
Browse our collection to discover more content in these categories.
Video Information
Views
36.2K
Likes
381
Duration
01:19:23
Published
Oct 6, 2021
User Reviews
4.4
(7) Related Trending Topics
LIVE TRENDSRelated trending topics. Click any trend to explore more videos.