Research Catalog

Title

Adapting proofs-as-programs : the Curry-Howard protocol / Iman Hafiz Poernomo, John Newsome Crossley, Martin Wirsing.

Author

Poernomo, Iman Hafiz, 1976-

Publication

New York : Springer Science+Business Media, [2005], ©2005.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Crossley, John N.
• Wirsing, M. (Martin)

Description

xi, 420 pages : illustrations; 25 cm.

Summary

"This monograph details several important advances in the area known as the proofs-as-programs paradigm, a set of approaches to developing programs from proofs in constructive logic. It serves the dual purpose of providing a state-of-the-art overview of the field and detailing tools and techniques to stimulate further research." "The book is intended for graduate students in computer science or mathematics who wish to extend their background in logic and type theory as well as gain experience working with logical frameworks and practical proof systems. In addition, the proofs-as-programs research community, and the wider computational logic, formal methods and software engineering communities will benefit. The applications given in the book should be of interest for researchers working in the target problem domains."--BOOK JACKET.

Series Statement

Monographs in computer science

Uniform Title

Monographs in computer science.

Subjects

• Abstract data types (Computer science)
• Logic, Symbolic and mathematical
• Functional programming (Computer science)
• Proof theory
• Curry-Howard isomorphism
• Lambda calculus

Bibliography (note)

• Includes bibliographical references (p. [407]-416) and index.

Contents

1. Introduction -- 2. Functional program synthesis -- 3. The Curry-Howard protocol -- 4. Intuitionistic Hoare logic -- 5. Properties of intuitionistic Hoare logic -- 6. Proofs-as-imperative-programs -- 7. Reasoning about structured specifications -- 8. Proof-theoretic properties of SSL -- 9. Structured proofs-as-programs -- 10. Generic specifications -- 11. Structured program synthesis -- 12. Conclusions : toward constructive logic as a practical 4GL -- App. A. Constructive logic.

ISBN

0387237593 (hardback : acid-free paper)

LCCN

2005046411

OCLC

• ocm58478542
• SCSB-5205743

Owning Institutions

Columbia University Libraries