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Refinement Calculus Book

Refinement Calculus
Refinement Calculus, Much current research in computer science is concerned with two questions: is a program correct? And how can we improve a correct program preserving correctness? This latter question is known as the refinement of programs and the purpose of this book is t, Refinement Calculus has a rating of 3 stars
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Refinement Calculus, Much current research in computer science is concerned with two questions: is a program correct? And how can we improve a correct program preserving correctness? This latter question is known as the refinement of programs and the purpose of this book is t, Refinement Calculus
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  • Refinement Calculus
  • Written by author Ralph-Johan Back
  • Published by Springer-Verlag New York, LLC, May 1998
  • Much current research in computer science is concerned with two questions: is a program correct? And how can we improve a correct program preserving correctness? This latter question is known as the refinement of programs and the purpose of this book is t
  • Much current research in computer science is concerned with two questions: is a program correct? And how can we improve a correct program preserving correctness? This latter question is known as the refinement of programs and the purpose of this book
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Book Categories

Authors

Preface
1Introduction1
2Posets, Lattices, and Categories29
3Higher-Order Logic57
4Functions69
5States and State Transformers85
6Truth Values109
7Predicates and Sets127
8Boolean Expressions and Conditionals139
9Relations151
10Types and Data Structures167
11Predicate Transformers187
12The Refinement Calculus Hierarchy203
13Statements213
14Statements as Games233
15Choice Semantics249
16Subclasses of Statements259
17Correctness and Refinement of Statements269
18Well-founded Sets and Ordinals301
19Fixed Points317
20Recursion329
21Iteration and Loops347
22Continuity and Executable Statements365
23Working with Arrays383
24The N-Queens Problem403
25Loops and Two-Person Games413
26Statement Classes and Normal Forms427
27Specification Statements447
28Refinement in Context463
29Iteration of Conjunctive Statements479
Appendix497
References501
Index509


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