Semigroups and one-way functions

We study the complexity classes P and NP through a semigroup fP (“polynomial-time functions”), consisting of all polynomially balanced polynomial-time computable partial functions. Then P 6= NP iff fP is a non-regular semigroup. The one-way functions considered here are based on worstcase complexity (they are not cryptographic); they are the non-regular… CONTINUE READING