This book constitutes the refereed proceedings of the 12th Conference on Computability in
Europe CiE 2016 held in Paris France in June July 2016. The 18 revised full papers and 19
invited papers and invited extended abstracts were carefully reviewed and selected from 40
submissions. The conference CiE 2016 has six special sessions - two sessions cryptography and
information theory and symbolic dynamics are organized for the first time in the conference
series. In addition to this new developments in areas frequently covered in the CiE conference
series were addressed in the following sessions: computable and constructive analysis
computation in biological systems history and philosophy of computing weak arithmetic.
