On symmetry of information and polynomial time invertibility
If the polynomial time symmetry of information holds, then there is a polynomial time algorithm that computes the shortest description of a string for “almost all” strings.
If the polynomial time symmetry of information holds, then every polynomial time computable function is probabilistic polynomial time invertible for “almost all” strings in its domain.
If P=NP (i.e., every polynomial time computable function is polynomial time invertible), then the polynomial time symmetry of information holds.
KeywordsPolynomial Time Polynomial Time Algorithm Kolmogorov Complexity Random String Probabilistic Polynomial Time
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