Lectures on the Logic of Computer Programming (CBMS-NSF Regional Conference Series in Applied Mathematics v. 31)
By: Zohar Manna (author), Ron Rozier (series_editor)Paperback
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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.
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.
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- ID: 9780898711646
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