Programming with Higher-Order Logic
$57.99 ( ) USD
- Authors:
- Dale Miller, INRIA Saclay – Ile de France
- Gopalan Nadathur, University of Minnesota
- Date Published: June 2012
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9781139512121
Find out more about Cambridge eBooks
$
57.99 USD
( )
Adobe eBook Reader
Other available formats:
Hardback
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact [email protected] providing details of the course you are teaching.
-
Formal systems that describe computations over syntactic structures occur frequently in computer science. Logic programming provides a natural framework for encoding and animating such systems. However, these systems often embody variable binding, a notion that must be treated carefully at a computational level. This book aims to show that a programming language based on a simply typed version of higher-order logic provides an elegant, declarative means for providing such a treatment. Three broad topics are covered in pursuit of this goal. First, a proof-theoretic framework that supports a general view of logic programming is identified. Second, an actual language called λProlog is developed by applying this view to higher-order logic. Finally, a methodology for programming with specifications is exposed by showing how several computations over formal objects such as logical formulas, functional programs, and λ-terms and π-calculus expressions can be encoded in λProlog.
Read more- All code fragments in the book are available via the author website associated with the book
- Shows that a programming language based on a simply typed version of higher-order logic provides an elegant, declarative means for providing such a treatment
Reviews & endorsements
"Overall, I am impressed with the depth of the discussion and the clearly well-produced book. The authors have argued successfully for the power and versatility of the fundamental ideas underlying λProlog."
Sara Kalvala, Computing ReviewsCustomer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: June 2012
- format: Adobe eBook Reader
- isbn: 9781139512121
- contains: 81 b/w illus.
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. First-order terms and representations of data
2. First-order horn clauses
3. First-order hereditary Harrop formulas
4. Typed lambda terms and formulas
5. Using quantification at higher-order types
6. Mechanisms for structuring large programs
7. Computations over λ-terms
8. Unification of λ-terms
9. Implementing proof systems
10. Computations over functional programs
11. Encoding a process calculus language
Appendix: the Teyjus system.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×