Axiomatizing Causal Reasoning [article]

Joseph Y. Halpern
2014 arXiv   pre-print
Causal models defined in terms of a collection of equations, as defined by Pearl, are axiomatized here. Axiomatizations are provided for three successively more general classes of causal models: (1) the class of recursive theories (those without feedback), (2) the class of theories where the solutions to the equations are unique, (3) arbitrary theories (where the equations may not have solutions and, if they do, they are not necessarily unique). It is shown that to reason about causality in the
more » ... most general third class, we must extend the language used by Galles and Pearl. In addition, the complexity of the decision procedures is examined for all the languages and classes of models considered.
arXiv:1408.1482v1 fatcat:hcycl4lggbhw5cfszrzb5c3vvy