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Programming with Higher-Order Logic

Programming with Higher-Order Logic by Dale Miller
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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.
Cambridge University Press; June 2012
320 pages; ISBN 9781139506298
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Title: Programming with Higher-Order Logic
Author: Dale Miller; Gopalan Nadathur
 
ISBNs
1139512129
9780521879408
9781139506298
9781139512121