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  3. Programming with Higher-Order Logic
  • Cited by 66
Publisher:
Cambridge University Press
Online publication date:
August 2012
Print publication year:
2012
Online ISBN:
9781139021326
DOI:
https://doi.org/10.1017/CBO9781139021326
Subjects:
Mathematics, Logic, Categories and Sets, Computer Science, Programming Languages and Applied Logic
Information

Book description

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.

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 λProlog.'

Sara Kalvala Source: Computing Reviews

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