Programming with Higher-Order Logic

  • CategoryOther
  • TypeE-Books
  • LanguageEnglish
  • Total size3.3 MB
  • Uploaded Byfreecoursewb
  • Downloads227
  • Last checkedJan. 16th '26
  • Date uploadedJan. 09th '26
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Infohash : 309F41B0292DB29EC82DD34AE3BDCBF3386FE734

Programming with Higher-Order Logic



https://WebToolTip.com

English | ISBN: 052187940X | 2012 | PDF | 320 pages | 3.25 MB

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.

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