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CMU 15-455: Undergraduate Complexity Theory →0/20
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Lecture 1: Course Overview and Formal Definition of Computation (15-455)

1:19:32
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Lecture 2: Turing Machines (15-455)

1:19:47
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Lecture 3: Simulations and Turing Machine Variants (15-455)

1:20:14
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Lecture 4: Time Complexity and Universal Turing Machines (15-455)

1:17:57
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Lecture 5: Time Hierarchy Theorem (15-455)

1:20:50
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Lecture 6: Problems in P (15-455)

1:21:42
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Lecture 7: SAT (15-455)

1:20:28
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Lecture 8: NP (15-455)

1:21:04
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Lecture 9: Nondeterminism (15-455)

1:21:02
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Lecture 10: Reductions (15-455)

1:21:41
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Lecture 11: NP-Completeness and the Cook-Levin Theorem (15-455)

1:16:03
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Lecture 12: NP-Completeness Reductions (15-455)

1:20:32
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Lecture 13: Search-to-Decision, Padding, Dichotomy Theorems (15-455)

1:19:56
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Lecture 14: Ladner's Theorem and Mahaney's Theorem (15-455)

1:22:37
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Lecture 15: coNP (15-455)

1:21:29
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Lecture 16: Space Complexity (15-455)

1:21:12
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Lecture 17: Savitch's Theorem and NL (15-455)

1:21:12
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Lecture 18: NL-Completeness and Logspace Reductions (15-455)

1:20:21
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Lecture 19: From P-Completeness to PSPACE-Completeness (15-455)

1:19:39
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Lecture 20: The Immerman-Szelepcsényi Theorem (15-455)

1:21:05

Lecture 5: Time Hierarchy Theorem (15-455)

Ryan O'DonnellCarnegie Mellon University

Professor

1:20:50·2017·undergraduate level

This lecture formally establishes the Time Hierarchy Theorem, proving that for any given time-constructible function, there are problems that can be solved in strictly more time.

Theory & AlgosComputational ComplexityTime Hierarchy TheoremDiagonalizationComplexity Classes

Undergraduate Computational Complexity Theory

Lecture 5: Time Hierarchy Theorem

Carnegie Mellon Course 15-455, Spring 2017

Previous · Lecture 4

Lecture 4: Time Complexity and Universal Turing Machines (15-455)

Next · Lecture 6

Lecture 6: Problems in P (15-455)

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