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Questions about decision problems that can be solved on nondeterministic Turing machines in time polynomial in the length of the input.
10
votes
1
answer
608
views
Are NP-complete sets formed from two other sets only if at least one is NP-hard?
I also
know that the conditions of "decidable" and "NP-hard" are necessary
since if we consider any NP-complete set $L$ and another set $B$ outside
of NP (whether just NP-hard or undecidable) then we can … form two
new NP-hard sets not in NP whose intersection is NP-complete. …
14
votes
1
answer
3k
views
Is determining if there is a prime in an interval known to be in P or NP-complete?
I saw from this post on stackoverflow that there are some relatively fast algorithms for sieving an interval of numbers to see if there is a prime in that interval. However, does this mean that the …