[hyperpape]

The bit about erasing seems like a bit of stretch. Belnap taught at least one of his proof theory classes using Restall's "An Introduction to Substructural Logics" as a textbook. (Belnap did make it clear that he didn't think linear logic was relevant to his own philosophical concerns, but that's not the same as saying he bears it some kind of ill-will).

[Mathnerd314]

Well, if relevance logic is part of linear logic, and it's a true subsumption relationship, then you're saying Belnap doesn't think relevance logic is relevant anymore. So in other words he's pretty much rejected logic altogether.

I guess it makes sense, his most recent papers are about indeterminism (http://www.pitt.edu/~belnap/futurecontingents.pdf), which logic doesn't handle well, but I'm not quite sure how you'd represent the branching-universe model he uses in a type system. I guess you'd need the history operator he uses, m/h = moment m on history h.

[hyperpape]

I was referring to the subsumption under substructural logic, not a subsumption under linear logic. Belnap seemed to view linear logic as rather different from his own interests in relevance logic.