Computability in Europe provides the largest international conference dealing with the full spectrum of computability-related research.CiE 2010 in the Azores is the sixth conference of the Series, held in a geographically unique and dramatic location, Europe's most Westerly outpost. The theme of CiE 2010 - "Programs, Proofs, Processes" - points to the usual CiE synergy of Computer Science, Mathematics and Logic, with important computability-theoretic connections to science and the real universe.