Unlike the material conditional, the strict conditional is not vacuously true when its antecedent is false. To see why, observe that both formula_10 and formula_2 will be false at formula_12 if there is some accessible world formula_8 where formula_10 is true and formula_15 is not. The strict conditional is also context-dependent, at least when given a relational semantics (or something similar). In the relational framework, accessibility relations are parameters of evaluation which encode the range of possibilities which are treated as "live" in the context. Since the truth of a strict conditional can depend on the accessibility relation used to evaluate it, this feature of the strict conditional can be used to capture context-dependence.