13.07.2015 Views

The Polynomial Hierarchy - Corelab

The Polynomial Hierarchy - Corelab

The Polynomial Hierarchy - Corelab

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

DP Class Definition<strong>The</strong><strong>Polynomial</strong><strong>Hierarchy</strong>A.AntonopoulosOutlineOptimizationProblemsIntroduction<strong>The</strong> Class DPOracle Classes<strong>The</strong><strong>Polynomial</strong><strong>Hierarchy</strong>DefinitionBasic <strong>The</strong>oremsBPP and PHDefinitionA language L is in the class DP if and only if there are twolanguages L 1 ∈ NP and L 2 ∈ coNP such that L = L 1 ∩ L 2 .DP is not NP ∩ coNP!Also, DP is a syntactic class, and so it has completeproblems.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!