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9780521103503

Data Refinement: Model-Oriented Proof Methods and their Comparison

by
  • ISBN13:

    9780521103503

  • ISBN10:

    0521103509

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2008-12-18
  • Publisher: Cambridge University Press

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Summary

The goal of this book is to provide a comprehensive and systematic introduction to the important and highly applicable method of data refinement and the simulation methods used for proving its correctness. The authors concentrate in the first part on the general principles needed to prove data refinement correct. They begin with an explanation of the fundamental notions, showing that data refinement proofs reduce to proving simulation. The book's second part contains a detailed survey of important methods in this field, which are carefully analysed, and shown to be either incomplete, with counterexamples to their application, or to be always applicable whenever data refinement holds. This is shown by proving, for the first time, that all these methods can be described and analysed in terms of two simple notions: forward and backward simulation. The book is self-contained, going from advanced undergraduate level and taking the reader to the state of the art in methods for proving simulation.

Table of Contents

Theory
Introduction to data refinement
Simulation as a proof method for data refinement
Relations and recursion
Properties of simulation
Notation and semantics
A Hoare logic
Simulation and Hoare logic
An extension to total correctness
Simulation and total correctness
Refinement calculus
Applications
Reynolds' method
VDM
Z, Hehner's method and Back's refinement calculus
Refinement methods due to Abadi & Lamport and Lynch
An introduction to Hoare logic
A primer on ordinals and transfinite induction
Notational convention
Precedences
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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