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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.

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On complexity of a combinatorial number theoretic problem?

Let $N=pq<2^n$ be a large integer, which is the product of two large primes. Generating relations of the form $$r_1r_2 \cdots r_m \equiv a \mod N$$ is equivalent to integer factorization. In particula …
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