Extended Boole-Bell inequalities applicable to quantum theory

@article{Raedt2009ExtendedBI,
  title={Extended Boole-Bell inequalities applicable to quantum theory},
  author={H. A. De Raedt and Karl Hess and Kristel Michielsen},
  journal={Journal of Computational and Theoretical Nanoscience},
  year={2009},
  volume={8},
  pages={1011-1039}
}
We address the basic meaning of apparent contradictions of quantum theory and probability frameworks as expressed by Bell's inequalities. We show that these contradictions have their origin in the incomplete considerations of 1:he premises of the derivation of the inequalities. A careful consideration of past work, including that of Boole and Vorob'ev, has lead us to the formulation of extended Boole-Bell inequalities that are binding for both classical and quantum models. The Einstein-Podolsky… 

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