The 2007 proceedings from the Annual European Meeting of the Association for Symbolic Logic.The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, Logic Colloquium 2007, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world.The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, Logic Colloquium 2007, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world.The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, Logic Colloquium 2007, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world. This volume covers many areas of contemporary logic: model theory, proof theory, set theory, and computer science, as well as philosophical logic, including tutorials on cardinal arithmetic, on Pillays conjecture, and on automatic structures. This volume will be invaluable for experts as well as those interested in an overview of central contemporary themes in mathematical logic.1. Decorated linear order types and the theory of concatenation Vedran Cacic, Pavel Pudlak, Greg Restall, Alasdair Urquhart and Albert Visser; 2. Cardinal preserving elementary embeddings Andres Eduardo Caicedo; 3. Proof interpretations and majorizability Fernando Ferreira; 4. Proof mining in practice Philipp Gerhardy; 5. Cardinal structure under AD Steve Jackson; 6. Three lectures on automatic strl¦