TY - BOOK AU - Miller,Dale AU - Nadathur,Gopalan TI - Programming with Higher-Order Logic SN - 9781139021326 (ebook) AV - QA76.63 .M554 2012 U1 - 005.1/15 23 PY - 2012/// CY - Cambridge PB - Cambridge University Press KW - Logic programming KW - Prolog (Computer program language) N1 - Title from publisher's bibliographic system (viewed on 04 Apr 2016) N2 - 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 UR - http://dx.doi.org/10.1017/CBO9781139021326 ER -