Adapting Proofs-as-Programs: The Curry--Howard Protocol / Edition 1

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Overview

This monograph details several important advances in the direction of a practical proofs-as-programs paradigm, which constitutes a set of approaches to developing programs from proofs in constructive logic with applications to industrial-scale, complex software engineering problems. One of the books central themes is a general, abstract framework for developing new systems of programs synthesis by adapting proofs-as-programs to new contexts.

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Editorial Reviews

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"This monograph serves the dual purpose of providing a state-of-the-art overview of the field and detailing tools and techniques to stimulate further research. It can serve as material for graduate students in computer science or mathematics, the proofs-as-programs research community and the computational logic, formal methods and software engineering communities." (Doina Tatar, Zentralblatt MATH, Vol. 1095 (21), 2006)

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Product Details

  • ISBN-13: 9780387237596
  • Publisher: Springer New York
  • Publication date: 6/21/2005
  • Series: Monographs in Computer Science Series
  • Edition description: 2005
  • Edition number: 1
  • Pages: 420
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.94 (d)

Table of Contents

Part I. Prologue.- Introduction.- Part II. Generalizing Proofs-as-Programs.- Functional Program Synthesis.- The Curry—Howard prool.- Part III. Imperative Proofs-as-Programs.- Intuitionistic Hoare Logic.- Properties of Intuitionistic Hoare Logic.- Proofs-as-Imperative-Programs.- Part IV. Structured Proofs-as-Programs.- Reasoning about Structured Specifications.- Proof-theoretic Properties of SSL.- Structured Proofs-as-Programs.- Generic Specifications.- Structured Program Synthesis.- Part V. Epilogue.- Conclusions: Toward Constructive Logic as a Practical 4GL.- Part VI. Appendix.- A: Constructive Logic.- References.- Index.

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