Programming With Higher Order Logic(1st Edition)
Authors:
Dale Miller ,Gopalan Nadathur
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Book details
ISBN: 052187940X, 978-0521879408
Book publisher: Cambridge University Press
Book Price $0 : 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 Ï?-calculus Expressions Can Be Encoded In λProlog.
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