P vs NP Debate

The cluster focuses on discussions about the P versus NP problem, including skepticism toward claimed proofs, explanations of NP-complete problems, and implications for computational complexity.

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Keywords

e.g TSP HN youtu.be quantamagazine.org TFNP youtube.com AND NP PLS np problems proof answer completeness complexity complete class hard instances

Sample Comments

arithmomachist Feb 10, 2021 View on HN

Aren't there lots of NP problems that have this property?

hammock Sep 30, 2021 View on HN

What you are saying is P/=NP

nafey Dec 15, 2021 View on HN

Is proving P = NP equivalent to knowing how any intractable problem can be solved? Is it possible for P=NP and yet a class of intractable problems to remain unsolved?

zornthewise Feb 1, 2016 View on HN

Well, P/NP really has almost no bearing on this problem. That is a theoretical problem and even if P=NP, the algorithm could have a ginormous constant or degree. Conversely even if P=/=NP, the problem might be very easy to solve at human timescales with advanced enough algorithms/processing speed.

lucianbr Jul 21, 2025 View on HN

You're saying P=NP, I think.

sgt101 Jan 28, 2017 View on HN

Can you describe an np complete problem that you have solved?

rw Jun 1, 2008 View on HN

Provided, of course, that P != NP.

az09mugen Jul 4, 2024 View on HN

Not a physics problem : https://en.wikipedia.org//wiki/P_versus_NP_problem

stefan_ Mar 29, 2020 View on HN

This looks like one of those P versus NP papers.

speedgoose Aug 11, 2020 View on HN

We don't even know for sure that P≠NP