id author title date pages extension mime words sentences flesch summary cache txt work_54ojb2scxfb6hkbpz3ptn2cdby Joseph Y. Halpern Sufficient Conditions for Causality to Be Transitive 2016 17 .pdf application/pdf 6796 732 85 paper is to provide sufficient conditions for causality to be transitive. of causality that depends on counterfactual dependence and uses structural equations (see, for example, [Glymour and Wimberly 2007; Hall 2007; Halpern 2015; These conditions may explain why, although causality is not transitive in general (and is not guaranteed to be transitive according to any of the counterfactual possible values, and F defines a set of modifiable structural equations, relating Setting the value of some variable X to x in a causal model M = (S,F) Consider the causal model MD with variables DB (the dog bites, with values the equations say that in all contexts ~u of the causal model MB for this example, causal setting (M,~u), X2 = x2 is a but-for cause of X3 = x3 in (M,~u), and the these variables Zi, either there is a causal path from X1 to Zi or there is not. ./cache/work_54ojb2scxfb6hkbpz3ptn2cdby.pdf ./txt/work_54ojb2scxfb6hkbpz3ptn2cdby.txt