The latest work by the world's leading authorities on the use of formal methods in computer science is presented in this volume, based on the 1995 International Summer School in Marktoberdorf, Germany. Logic is of special importance in computer science, since it provides the basis for giving correct semantics of programs, for specification and verification of software, and for program synthesis. The lectures presented here provide the basic knowledge a researcher in this area should have and give excellent starting points for exploring the literature. Topics covered include semantics and category theory, machine based theorem proving, logic programming, bounded arithmetic, proof theory, algebraic specifications and rewriting, algebraic algorithms, and type theory.