Causal models have no complete axiomatic characterization

Details Causal models have no complete axiomatic characterization Causal models have no complete axiomatic characterization

2008-04-15

arxiv.org/abs/0804.2401v1

Computer Science

Artificial Intelligence

7 pages, 1 figure

Scientific paper

Markov networks and Bayesian networks are effective graphic representations of the dependencies embedded in probabilistic models. It is well known that independencies captured by Markov networks (called graph-isomorphs) have a finite axiomatic characterization. This paper, however, shows that independencies captured by Bayesian networks (called causal models) have no axiomatization by using even countably many Horn or disjunctive clauses. This is because a sub-independency model of a causal model may be not causal, while graph-isomorphs are closed under sub-models.

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