Inverting onto functions

@article{Fenner2003InvertingOF,
  title={Inverting onto functions},
  author={Stephen A. Fenner and Lance Fortnow and Ashish V. Naik and John D. Rogers},
  journal={Inf. Comput.},
  year={2003},
  volume={186},
  pages={90-103}
}
We look at the hypothesis that all honest onto polynomial-time computable functions have a polynomial-time computable inverse. We show this hypothesis equivalent to several other complexity conjectures including • In polynomial time, one can find accepting paths of nondeterministic polynomialtime Turing machines that accept Σ∗. • Every total multivalued nondeterministic function has a polynomial-time computable refinement. • In polynomial time, one can compute satisfying assignments for any… CONTINUE READING

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