The Science of Programming (Monographs in Computer Science)

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The Math Needed for Computer Science

This book presents principles behind program development, and leads the reader through example programs using those principles. Additional Product Features Number of Volumes. Part 0. Why Use Logic?

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Why Prove Programs Correct? Propositions; 2. Reasoning Using Equivalence Transformations; 3. A Natural Deduction System; 4. Predicates; 5. Notations and Conventions for Arrays; 6.

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  • Using Assertions to Document Programs; Part2. The Semantics of a Small Language; 7. The Predicate Transformer wp; 8.

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    The Commands Skip, Abort and Composition; 9. The Assignment Command; The Alternative Command; Procedure Call; The Iterative Command; Procedure Call; Part 3. The Development of Programs; Introduction; Programming as a Goal-Oriented Activity; Developing Loops From Invariants and Bounds; Developing Invariants; Notes on Bound Functions; Using Iteration Instead of Recursion; Efficiency Considerations; Two Larger Examples of Program Development; Inverting Programs; Notes on Documentation; Show More Show Less.

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