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This is a branch that includes: computational complexity theory; complexity classes, NP-completeness and other completeness concepts; oracle analogues of complexity classes; complexity-theoretic computational models; regular languages; context-free languages; Komolgorov Complexity and so on.
2
votes
powers in strings
The comments have covered the bulk of the behaviour of P(n,N) for nontrivial values of n, showing that only when n=1 should P have values exceeding 2 (or n at most 2 to get a value more than 1). A so …
6
votes
Can We Decide Whether Small Computer Programs Halt?
On the flip side, one can write a program that does the
Collatz sequence or walks through an enumeration of
natural number vectors to see if it has a solution to some
Diophantine equation whose solubi …