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This volume contains the proceedings of the NATO-sponsored Advanced Research Study Institute on Logic of Programming and Calculi of Discrete Design, held in continuation of the series of well-known summer schools in Marktoberdorf, July 29-August 10, 1986. The proceedings give an excellent overview of the state of the art in formal methods of program design. The book treats both logic in programming and formal calculi in the discrete design of programs and systems, including foundations of logic, equational logic, modal logics, support systems for logical reasoning, and design calculi for programs and program specifications.