1. Introduction, Finite Automata, Regular Expressions
1:00:342. Nondeterminism, Closure Properties, Conversion of Regular Expressions to FA
1:03:273. Regular Pumping Lemma, Conversion of FA to Regular Expressions
1:10:024. Pushdown Automata, Conversion of CFG to PDA and Reverse Conversion
1:09:225. CF Pumping Lemma, Turing Machines
1:13:596. TM Variants, Church-Turing Thesis
1:14:497. Decision Problems for Automata and Grammars
1:16:518. Undecidability
1:17:02Lecture 9: Reducibility (18.404J)
1:16:37Lecture 10: Computation History Method (18.404J)
1:21:41Lecture 11: Recursion Theorem and Logic (18.404J)
1:17:32Lecture 12: Time Complexity (18.404J)
1:25:37Lecture 14: P and NP, SAT, Poly-Time Reducibility (18.404J)
1:19:23Lecture 15: NP-Completeness (18.404J)
1:25:53Lecture 16: Cook-Levin Theorem (18.404J)
1:18:27Lecture 17: Space Complexity, PSPACE, Savitch's Theorem (18.404J)
1:20:10Lecture 18: PSPACE-Completeness (18.404J)
1:17:36Lecture 19: Games, Generalized Geography (18.404J)
1:19:38Lecture 20: L and NL, NL = coNL (18.404J)
1:20:06Lecture 21: Hierarchy Theorems (18.404J)
1:21:57Lecture 22: Provably Intractable Problems, Oracles (18.404J)
1:22:50Lecture 23: Probabilistic Computation, BPP (18.404J)
1:23:41Lecture 22: Provably Intractable Problems, Oracles (18.404J)
This session introduces exponential complexity classes and presents a “natural” provably intractable problem. It explores oracles and relativized computation, suggesting limitations of diagonalization for separating P and NP.
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
Lecture 21: Hierarchy Theorems (18.404J)
Next · Lecture 22Lecture 23: Probabilistic Computation, BPP (18.404J)
Seminar notes & discussion
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