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Adapting Proofs-as-Programs Iman Poernomo

Adapting Proofs-as-Programs By Iman Poernomo

Adapting Proofs-as-Programs by Iman Poernomo


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Summary

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.

Adapting Proofs-as-Programs Summary

Adapting Proofs-as-Programs: The Curry--Howard Protocol by Iman Poernomo

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.

Adapting Proofs-as-Programs Reviews

From the reviews:

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)

Table of Contents

Prologue.- Generalizing Proofs-as-Programs.- Functional Program Synthesis.- The Curry-Howard Protocol.- Imperative Proofs-as-Programs.- Intuitionistic Hoare Logic.- Properties of Intuitionistic Hoare Logic.- Proofs-as-Imperative-Programs.- Structured Proofs-as-Programs.- Reasoning about Structured Specifications.- Proof-theoretic Properties of SSL.- Structured Proofs-as-Programs.- Generic Specifications.- Structured Program Synthesis.- Epilogue.- Conclusions: Toward Constructive Logic as a Practical 4GL.

Additional information

NLS9781441920140
9781441920140
1441920145
Adapting Proofs-as-Programs: The Curry--Howard Protocol by Iman Poernomo
New
Paperback
Springer-Verlag New York Inc.
2010-11-19
420
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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