There is product named Techton or Techron not sure. It's made by Chevron and we can get it at Wal-Mart here for about $6 or so. It comes in a black plastic bottle. On it it says something like concentrated formula. There are other Chevron products that say they have Techtron in them, things like fuel injector cleaner with Techron (in blue bottles I think). You need the concentrated formula. It's specifically designed to attack carbon and is also sold by VW and BMW dealers usually at 2 to 4 times the price.
Its about the best product I ever used for removing carbon from valves. You may need two treatments. Must do an oil change after the
2nd treatment.Search for it on the web. It may help.
Fred