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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.

Computer science. --- Computers. --- Algorithms. --- Mathematical logic. --- Computer science --- Bioinformatics. --- Computer Science. --- Computation by Abstract Devices. --- Algorithm Analysis and Problem Complexity. --- Mathematics of Computing. --- Mathematical Logic and Formal Languages. --- Computational Biology/Bioinformatics. --- Mathematics. --- Bio-informatics --- Biological informatics --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algorism --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Informatics --- Mathematics --- Biology --- Information science --- Computational biology --- Systems biology --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Algebra --- Arithmetic --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Science --- Data processing --- Foundations --- Computer software. --- Software, Computer --- Computer science—Mathematics. --- Computable functions --- Machine theory. --- Theory of Computation. --- Formal Languages and Automata Theory. --- Computational and Systems Biology. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Logic, Symbolic and mathematical --- Recursive functions --- Robotics