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