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Lectures on the Logic of Computer ProgrammingLectures on the Logic of Computer Programming

Zohar Manna



CBMS-NSF Regional Conference Series in Applied Mathematics 31

This monograph deals with aspects of the computer programming process that involve techniques derived from mathematical logic. The author focuses on proving that a given program produces the intended result whenever it halts, that a given program will eventually halt, that a given program is partially correct and terminates, and that a system of rewriting rules always halts. Also, the author describes the intermediate behavior of a given program, and discusses constructing a program to meet a given specification.

Contents

Partial correctness: Invariant method; Subgoal method; Subgoal method versus invariant method; Termination: Well-founded ordering method; The multiset ordering; Total correctness; Intermittent method; Systematic program annotation; Range of Individual variables; Relation between variables; Control invariants; Debugging; Termination and run-time analysis; Synthesis of programs: The weakest precondition operator; Transformation rules; Simultaneous-goal principle; Conditional- formation principle; Recursion-formulation principle; Generalization; Program modification; Comparison with structured programming; Termination of production systems: Examples: Associativity; Example: Distribution system; Differentiation system; Nested Multisets.

1980 / iv + 49 pages / Softcover / ISBN-13: 978-0-898711-64-6 / ISBN-10: 0-89871-164-9 /
List Price $37.50 / SIAM/CBMS Member Price $26.25 / Order Code CB31
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