Specified Complexity Depends Upon Implicit Design Hypotheses

William Dembski's No Free Lunch contains the following passage:

The presumption here is that if a subject S can figure out an independently given pattern to which E conforms (i.e., a detachable rejection region of probability less than alpha that includes E), then so could someone else. Indeed, the presumption is that someone else used that very same item of background knowledge -- the one used by S to eliminate H -- to bring about E in the first place.

No Free Lunch, p. 75

Because Dembski's framework is based upon the elimination of alternative explanations, what we end up with here is the situation that Dembski is attributing the complement of the probability that can be assigned to chance hypotheses to an implicit design hypothesis, the one that underlies a particular "specification". When the "saturated" probability of the alternative is less than 1/2, Dembski says that we should prefer "design" as our causal explanation, and because we have this relationship between the specification and the putative causal story, we thus are adopting that particular causal hypothesis.