Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the eleventh publication in the Lecture Notes in Logic series, collects the proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, held in 1995. It includes papers in the core areas of set theory, model theory, proof theory and recursion theory, as well as the more recent topics of finite model theory and non-monotonic logic. It also includes a tutorial on interactive proofs, zero-knowledge and computationally sound proofs that reported on recent developments in theoretical computer science, and three plenary lectures dedicated to the foundational and technical evolution of set theory over the past 100 years.

### Contents

1. The number of path-components of a compact subset of R^\ltimes H. Becker; 2. Intervals without critical triples P. Cholak, R. Downey and R. Shore; 3. Beyond Gödel's theorem - Turing nonrigidity revisited S. B. Cooper; 4. Types and indescernibles in finite models A. Dawar; 5. Model theory of modules I. Herzog; 6. Noninterpretability of infinite linear orders W. Hodges and A. Nies; 7. Combinatorial principles from adding Cohen reals I. Juhász, L. Soukup and Z. Szentmiklóssy; 8. Extensions of models of PV J. Krajíček; 9. Convergence laws for random graphs J. F. Lynch; 10. V=L and maximize P. Maddy; 11. Towards a categorical foundation of mathematics M. Makkai; 12. Strongly minimal sets and geometry D. Marker; 13. Computationally-sound proofs S. Micali; 14. Lambek calculus and formal languages M. Pentus; 15. Zil'ber's trichotomy and o-minimal structures Y. Peterzil; 16. The higher infinite in proof theory M. Rathjen; 17. There may be no nowhere dense ultrafilter S. Shelah; 18. Towards recursive model theory A. P. Stolboushkin; 19. Accessible segments of the fast-growing hierarchy S. S. Wainer.