this post was submitted on 19 Jul 2023
1042 points (98.2% liked)
Programmer Humor
32380 readers
425 users here now
Post funny things about programming here! (Or just rant about your favourite programming language.)
Rules:
- Posts must be relevant to programming, programmers, or computer science.
- No NSFW content.
- Jokes must be in good taste. No hate speech, bigotry, etc.
founded 5 years ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
view the rest of the comments
Since when were Turing machines ever nondeterministic?
Wait till you hear about oracle machines. They can solve any problem, even the halting problem.
(It's just another mathematical construct that you can do cool things with to prove certain things)
Thanks for the fun rabbit hole. They can't really solve the halting problem though, you can make an oracle solve the halting problem for a turning machine but not for itself. Then of course you can make another oracle machine that solves the halting problem for that oracle machine, and so on and so forth, but an oracle machine can never solve its own halting problem.
If you augment a TM with nondeterminism, it can still be reduced to a deterministic TM.
Nondeterministic turing machines are the same kind of impossible theoretical automaton as an NFA. They can theoretically solve NP problems.
It's been a long long time since I touched this but I'm still almost positive deterministic machines can solve everything in NP already.