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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.

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 …
The Masked Avenger's user avatar
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 …
The Masked Avenger's user avatar