English

All Superlinear Inverse Schemes are coNP-Hard

Computational Complexity 2007-05-23 v1 Cryptography and Security

Abstract

How hard is it to invert NP-problems? We show that all superlinearly certified inverses of NP problems are coNP-hard. To do so, we develop a novel proof technique that builds diagonalizations against certificates directly into a circuit.

Cite

@article{arxiv.cs/0410023,
  title  = {All Superlinear Inverse Schemes are coNP-Hard},
  author = {Edith Hemaspaandra and Lane A. Hemaspaandra and Harald Hempel},
  journal= {arXiv preprint arXiv:cs/0410023},
  year   = {2007}
}

Comments

Conf. version was in MFCS 2004

R2 v1 2026-07-22T12:22:36.365Z