math

325 readers

2 users here now

Interesting news and discussion centered around Mathematics

founded 2 years ago

MODERATORS

[email protected]

What's a concrete example of LIN ⊊ NLIN? (lemmy.sdf.org)

submitted 1 week ago by [email protected] to c/[email protected]

5 comments fedilink hide all child comments

I've read the old papers proving that fact, but honestly it seems like some of the terminology and notation has changed since the 70's, and I roundly can't make heads or tails of it. The other sources I can find are in textbooks that I don't own.

Ideally, what I'm hoping for is a segment of pseudocode or some modern language that generates an n-character string from some kind of seed, which then cannot be recognised in linear time.

It's of interest to me just because, coming from other areas of math where inverting a bijective function is routine, it's highly unintuitive that you provably can't sometimes in complexity theory.

you are viewing a single comment's thread
view the rest of the comments

[–] [email protected] 0 points 1 week ago* (last edited 1 week ago) (1 children)

Ah sorry, I had no idea, you could have been a topologist who doesn't like computers or something.

LIN is unusual, probably because it's pretty well understood. Are you more of a coder, or an actual, academic computer scientist? If the latter, what do you know about pebbling games on nondeterministic machines?

[–] [email protected] 0 points 1 week ago

Oh no worries, I think I stumbled on this in a computer science crosspost.

While I do lean a bit in the academics, my area is mostly in ML / AI so not well read in pebbling games (although it sounds interesting).