Multicolumn primary keys are ... a major pita as soon as you need to do any joins. I had to write some queries for a schema that used them and it was horrible and error prone. It was way too easy to forget one of the three columns in the sixth join. Plus of course having to repeat all those columns in all those related tables is wasteful.
If you want to ensure something is unique, use a unique index/constraint, but please do not ever even think of using a multicolumn PK!
Update: I forgot to add ... unless the table is basically just implementation of an N-N relation. With or without additional columns. In that case you are unlikely to need to join using both columns at the same time (see ... you can't assume you'll always include the whole PK in all joins) and the surrogate ID would (almost) never be used.
Jenda
Enoch was right!
Enjoy the last years of Rome.