The fundamental theory presented is that computational randomness can be effectively simulated by deterministic pseudo-random generation when indistinguishability from true random strings holds against any efficient statistical test. This principle establishes the equality between complexity classes P and BPP, proving that problems solvable efficiently with randomized algorithms (99% success probability) are equivalent to those solvable deterministically in polynomial time under plausible hardness assumptions regarding one-way functions or specific generator properties like the Nisan-Wigderson construction within theoretical computer science.
The fundamental theory presented is that computational randomness can be effectively simulated by deterministic pseudo-random generation when indistinguishability from true random strings holds again…