Programming with Higher-Order Logic
eBook - PDF

Programming with Higher-Order Logic

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Programming with Higher-Order Logic

About this 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 ?Prolog 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 ?-terms and ?-calculus expressions can be encoded in ?Prolog.

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Yes, you can access Programming with Higher-Order Logic by Dale Miller,Gopalan Nadathur in PDF and/or ePUB format, as well as other popular books in Computer Science & Programming Languages. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Programming with Higher-Order Logic
  3. Title
  4. Copyright
  5. Contents
  6. Preface
  7. Introduction
  8. 1: First-Order Terms and Representations of Data
  9. 2 First-Order Horn Clauses
  10. 3: First-Order Hereditary Harrop Formulas
  11. 4: Typed λ-Terms and Formulas
  12. 5 Using Quantification at Higher-Order Types
  13. 6: Mechanisms for Structuring Large Programs
  14. 7: Computations over λ-Terms
  15. 8: Unification of λ-terms
  16. 9: Implementing Proof Systems
  17. 10: Computations over Functional Programs
  18. 11: Encoding a Process Calculus Language
  19. Appendix: The Teyjus system
  20. Bibliography
  21. Index