Algorithmic Lower Bounds: Fun with Hardness Proofs

Algorithmic Lower Bounds: Fun with Hardness Proofs by Prof. Erik Demaine via MIT

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Created by Massachusetts Institute of Technology Staff Last updated Mon, 28-Feb-2022 English


Algorithmic Lower Bounds: Fun with Hardness Proofs free videos and free material uploaded by Massachusetts Institute of Technology Staff .

Syllabus / What will i learn?

Introduction

3-partition I

3-partition II, 2–partition

SAT (Satisfiability)

SAT Reductions

Circuit SAT

Planar SAT

Hamiltonicity

Graph Problems

Inapproximability Introduction

Inapproximability Examples

Gap Inapproximability

Parameterized Complexity I: W Hierarchy

Parameterized Complexity II: ETH & Planar

P and ASP

NP & PSPACE Video Games

Nondeterministic Constraint Logic

0- and 2–player Games

More Games

Undecidability & P-completeness

 



Curriculum for this course
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Description

Algorithmic Lower Bounds: Fun with Hardness Proofs is a class taking a practical approach to proving problems can't be solved efficiently (in polynomial time and assuming standard complexity-theoretic assumptions like P ≠ NP). The class focuses on reductions and techniques for proving problems are computationally hard for a variety of complexity classes. Along the way, the class will create many interesting gadgets, learn many hardness proof styles, explore the connection between games and computation, survey several important problems and complexity classes, and crush hopes and dreams (for fast optimal solutions).

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