Algebraic methods, in particular those of universal algebra and algebraic logic, are playing an increasingly important role in computer science, especially in the areas of algebraic specification of data types, relational data types, relational database theory, logic of programmes, functional and logic programming, and semantics of programming languages. To a large extent this work has been carried forward by computer scientists independent of the very active group of mathematicians who work in universal algebra and algebraic logic. A conference was held at Iowa State University in June 1988 to bring together leading researchers from both groups to identify areas of common interest. Addresses were given by Joel Berman, H.Peter Gumm, Bjarni Jonsson, Dexter Kozen, Istvan Nemeti, Vaughan Pratt, Dana Scott and Eric Wagner. The programme also included contributed papers and a round-table discussion of the role of algebra and logic in computer science.