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.
- ISBN13 9781139021326
- Publish Date 5 August 2012 (first published 11 June 2012)
- Publish Status Active
- Out of Print 3 February 2023
- Publish Country GB
- Publisher Cambridge University Press
- Imprint Cambridge University Press (Virtual Publishing)
- Format eBook
- Language English