Programming with Higher-Order Logic (Hardcover)

Dale Miller

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Language: English

Published by Cambridge University Press, Cambridge, 2012

052187940X / 9780521879408

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Hardcover. 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 lProlog 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 l-terms and p-calculus expressions can be encoded in lProlog. Formal systems in computer science frequently involve specifications of computations over syntactic structures. In this book, the authors develop a programming language based on a simply typed version of higher-order logic and show that it provides an elegant approach to performing computations over structures embodying binding. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. …

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Title
Programming with Higher-Order Logic (Hardcover)
Author
Dale Miller
Publisher
Cambridge University Press, Cambridge
Publication year
2012
Condition
new
Binding
Hardcover
Language
English
ISBN 10
052187940X
ISBN 13
9780521879408

CitiRetail

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