podcasts / Ryan Peterman / episode / question
Question

Why does Ryan Williams say SAT is easy in practice but still hard in the worst case?

Answered from MIT Professor: What is Strong ETH (Recently Proven False By OpenAI) | Ryan Williams · Ryan Peterman · 2026-10-27

Ryan Williams points out that SAT solvers run constantly in industry and are a core engine for verification, handling real-world instances fairly well. Practical success says nothing about the hardest inputs, though: in the worst case, nobody knows an algorithm that is significantly faster than 2^n, which is the gap the strong exponential time hypothesis claims can never be closed.

▸In their words

“However, in the worst case, we still don't know how to solve it significantly faster” Ryan Williams · at 1:29 — open in the transcript →

Source: our own transcription of the episode. The full conversation is on Ryan Peterman (2026-10-27). Read the whole episode summary →

▸More from this episode

Q1What is the strong exponential time hypothesis, as Ryan Williams explains it?Q2How does Ryan Williams say strong ETH relates to the P versus NP question?Q3Does MIT professor Ryan Williams believe the strong exponential time hypothesis is true?Q5How did Ryan Williams turn failed attempts to refute strong ETH into other results?Q6Why does Ryan Williams find it useful to assume strong ETH is false?
Transcribe your links. Paste a YouTube, Google Drive or podcast link and WhipScribe gives you the transcript. Transcribe a link →