September 13th, 2012

beartato phd

(no subject)

So can anyone give me a straight answer about what's so special about coherent (or 'coherence') spaces with respect to linear logic? I was looking at "Between logic and quantic : a tract" for the millionth time and couldn't help but notice that it doesn't even seem to talk about interpretations for the units 0, 1, top, bottom, and the only sensible one that seems to work interprets both 1 and top as the unique coherent space on the one-element carrier and both 0 and bottom as the empty coherent space. So this isn't a complete semantics for linear logic at all, but some other logic. Why, then, linear logic? Or, assuming linear logic, why coherent spaces?