Programming with Higher-Order Logic, Hardback Book


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 � -calculus expressions can be encoded in λProlog.




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