All Superlinear Inverse Schemes are coNP-Hard

Edith Hemaspaandra; Lane A. Hemaspaandra; Harald Hempel

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All Superlinear Inverse Schemes are coNP-Hard

Edith Hemaspaandra·Lane A. Hemaspaandra·Harald Hempel

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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.

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Edith Hemaspaandra, Lane A. Hemaspaandra, Harald Hempel. 2004-10-12. All Superlinear Inverse Schemes are coNP-Hard. https://arxiv.org/abs/cs/0410023

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