@article{Birget2011OnTC, title={On the Circuit-Size of inverses}, author={Jean-Camille Birget}, journal={Int. J. Found. Comput. Sci.}, year={2011}, volume={22}, pages={1925-1938} }

- Published 2011 in Int. J. Found. Comput. Sci.
DOI:10.1142/S0129054111009124

We reprove a result of Boppana and Lagarias: If Π P 2 Σ P 2 then there exists a partial function f that is computable by a polynomial-size family of circuits, but no inverse of f is computable by a polynomial-size family of circuits. We strengthen this result by showing that there exist length-preserving total functions that are one-way by circuit size and… CONTINUE READING

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