Programming with Higher-Order Logic

By: Dale Miller, Gopalan Nadathur

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Hardcover | 11 June 2012 | Edition Number 1

At a Glance

Hardcover
322 Pages

Dimensions(cm)
22.86 x 15.24 x 1.91

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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.

Industry Reviews

'... 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 ?Prolog.' Sara Kalvala, Computing Reviews

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Programming & Software Development Programming & Scripting Languages Computer Science Mathematical Theory of Computation Object-Oriented Programming or OOP

First-order terms and representations of data
First-order horn clauses
First-order hereditary Harrop formulas
Typed lambda terms and formulas
Using quantification at higher-order types
Mechanisms for structuring large programs
Computations over -terms
Unification of -terms
Implementing proof systems
Computations over functional programs
Encoding a process calculus language
Appendix. The Teyjus system
Table of Contents provided by Publisher. All Rights Reserved.

Programming with Higher-Order Logic

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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