Their fuel cycle concept is very interesting and very similar to what I've been thinking about lately:
Namely, take spent uranium oxide fuel and fluorinate it. This step isn't very radical since we take uranium oxide out of the ground and fluorinate it (first to UF4 and then to UF6) to get it ready for enrichment. The nice thing about fluorination is that it is chemically favored (uranium fluoride being more stable than uranium oxide) and that once you've got it fluorinated, removing the uranium from the minor actinides (MA) and fission products is pretty easy. Just fluorinate it some more, changing the uranium from UF4 to UF6 and it will come out as a gas.
You can also remove fission products like technetium and molybdenum through fluorination since they will form volatile hexafluorides like uranium (TcF6, MoF6, and UF6, respectively). Each of those volatile hexafluorides condense at a different temperature, allowing you to rather easily separate them. Indeed, each of these steps is ALREADY done as uranium is purified in preparation for enrichment, something that's going on on a huge scale right now.
Removing plutonium and other minor actinides from the fluoride mixture used to be a problem that I thought could be a showstopper, but I read
this paper by some French researchers who showed how you could remove minor actinides through reductive extraction with metallic aluminum. Basically, in a simple form, it works like this. Metallic aluminum would rather be aluminum fluoride more than minor actinide fluorides would rather NOT be metal, so the aluminum steals the fluorine ions away from the MA fluorides and they come out of solution as metals. But the fission products are left behind.
So now you have one solution of fission product fluorides, suitable for disposal and another bunch of metallic minor actinides, which could then be chlorinated with chlorine-37 and used as the feed to a fast-spectrum chloride reactor, where they could be fissioned and destroyed.
That would be my only real difference with this fuel scheme--I think that a fast-spectrum chloride reactor will do a much better job destroying minor actinides than a thermal (or epithermal) fluoride reactor. Maybe I'm wrong, but everything I've seen points to that conclusion.