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1
Intro
2
Worst-case vs Average-case Hardness
3
Challenger - Solver game G89,195
4
Hardness of Promise-true NP-Search
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Promise-true NP-Search problems
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Machine Learning: Local Search JPY'88
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Nash Equilibrium
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Open Problem 1
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Restricted Distributions: One-way functions
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Open Problem 2
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Average-case Hardness of NP [K73,L86]
12
Main Theorem
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Proof Overview
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Interactive Puzzles
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2-round Puzzles
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Main Question
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Failure of Babai-Moran Transformation for computational soundness
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Main Lemma: If a OWF, BM-transformation works
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Concluding the proof
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Concluding Remarks
Description:
Explore the intriguing question of whether statements guaranteed to be true are easier to prove in this 26-minute IEEE conference talk by Rafael Pass from Cornell Tech and Muthuramakrishnan Venkitasubramaniam from the University of Rochester. Delve into topics such as worst-case vs. average-case hardness, the Challenger-Solver game, and the hardness of Promise-true NP-Search problems. Examine machine learning concepts, including local search and Nash Equilibrium, before tackling open problems related to restricted distributions and one-way functions. Investigate the average-case hardness of NP, interactive puzzles, and the failure of the Babai-Moran Transformation for computational soundness. Gain insights into the main theorem, its proof overview, and the concluding remarks that tie together these complex concepts in computational theory.

Is it Easier to Prove Statements that are Guaranteed to be True?

IEEE
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