¿This book summarizes the results of research the authors have pursued in the past years on the problem of implementing Bell's notion of local causality in local physical theories and relating it to other important concepts and principles in the foundations of physics such as the Common Cause Principle, Bell's inequalities, the EPR (Einstein-Podolsky-Rosen) scenario, and various other locality and causality concepts. The book is intended for philosophers of science with an interest in the formal background of sciences, philosophers of physics and physicists working in foundation of physics.

Gábor Hofer-Szabó is a senior research fellow at the Institute of Philosophy, Research Center for the Humanities at the Hungarian Academy of Sciences in Budapest. His main fields of research are foundations of quantum mechanics, interpretations of probability and probabilistic causality.

Péter Vecsernyés is a senior research fellow at the Wigner Research Centre for Physics at the Hungarian Academy of Sciences in Budapest. His main fields of research are algebraic quantum field theory and quantum groups.

Introduction.- What is a local physical theory?.- Relativistic locality and causality principles.- Bell's notion of local causality.- The Causal Markov Condition.- The Common Cause Principle.- Bell's inequalities.- The EPR scenario.- A noncommutative locally causal model for the EPR.- Summary and outlook.