Edited in collaboration with FoLLI the Association of Logic Language and Information this
volume constitutes a selection of papers presented at the Internatonal Conference on Infinity
in Logic and Computation ILC 2007 held in Cape Town South Africa in November 2007. The 7
revised papers presented together with 2 invited talks were carefully selected from 27 initial
submissions during two rounds of reviewing and improvement. The papers address all aspects of
infinity in automata theory logic computability and verification and focus on topics such as
automata on infinite objects combinatorics cryptography and complexity computability and
complexity on the real numbers infinite games and their connections to logic logic
computability and complexity in finitely presentable infinite structures randomness and
computability transfinite computation and verification of infinite state systems.