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LOGCOM
2007

On Independence of Variants of the Weak Pigeonhole Principle

9 years 11 months ago
On Independence of Variants of the Weak Pigeonhole Principle
The principle sPHPa b (PV (α)) states that no oracle circuit can compute a surjection of a onto b. We show that sPHP (a) P (a)(PV (α)) is independent of PV1(α)+sPHP π(a) Π(a)(PV (α)) for various choices of the parameters π, Π, , P. We also improve the known separation of iWPHP(PV ) from S1 2 + sWPHP(PV ) under cryptographic assumptions.
Emil Jerábek
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2007
Where LOGCOM
Authors Emil Jerábek
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