The Marktoberdorf Summer Schools on Informatics were started in 1970 as Advanced Study Institutes under the sponsorship of NATO. At the schools, groups of top researchers in computing present their most recent results to an elite of advanced students and face their questions, criticism and suggestions. This volume presents the proceedings of the tenth Marktoberdorf Summer School, with the theme Logic, Algebra, and Computation. The volume has a message: applied logic is programming, programming is applied logic, and computation is a common concern of logic and mathematics. The volume contains ten papers, on computation and specification over abstract data types, deductive program synthesis, resolution, the pure lambda-calculus, normalization, logical and recursive complexity, the computation system of constructive type theory, modal logic, concurrency, and concurrent logic programming languages.