Title:
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PROGRAMMING WITH HIGHER-ORDER LOGIC
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By: |
Dale Miller, Gopalan Nadathur |
Format: |
Hardback |

List price:
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£41.99 |
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£36.74 |
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£5.25 |
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ISBN 10: |
052187940X |
ISBN 13: |
9780521879408 |
Availability: |
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Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
Pub. date: |
11 June, 2012 |
Pages: |
320 |
Description: |
A programming language based on a higher-order logic provides a declarative approach to capturing computations involving types, proofs and other syntactic structures. |
Synopsis: |
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 lambdaProlog 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 lambda-terms and pi-calculus expressions can be encoded in lambdaProlog. |
Illustrations: |
81 b/w illus. |
Publication: |
UK |
Imprint: |
Cambridge University Press |
Returns: |
Returnable |