Programming with Higher-Order Logic

Dale Miller 1, 2 Nadathur Gopalan 3
1 PARSIFAL - Proof search and reasoning with logic specifications
LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau], Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR7161
3 Department of Computer Science
Department of Computer Science
Abstract : 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 and declarative means for realizing 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 a higher-order logic. Finally, a methodology for computing with specifications is exposed by showing how several computations over formal objects such as logical formulas, functional programs, λ-terms, and π-calculus expressions can be encoded in λProlog.
Type de document :
Ouvrage (y compris édition critique et traduction)
Cambridge University Press, pp.320, 2012, 9780521879408. 〈10.1017/CBO9781139021326〉
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https://hal.inria.fr/hal-00776197
Contributeur : Dale Miller <>
Soumis le : mardi 15 janvier 2013 - 11:18:21
Dernière modification le : jeudi 10 mai 2018 - 02:06:39

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Dale Miller, Nadathur Gopalan. Programming with Higher-Order Logic. Cambridge University Press, pp.320, 2012, 9780521879408. 〈10.1017/CBO9781139021326〉. 〈hal-00776197〉

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