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Book synopsis

This monograph develops techniques for equational reasoning in higher-order logic. Due to its expressiveness, higher-order logic is used for specification and verification of hardware, software, and mathematics. In these applica tions, higher-order logic provides the necessary level of abstraction for con cise and natural formulations. The main assets of higher-order logic are quan tification over functions or predicates and its abstraction mechanism. These allow one to represent quantification in formulas and other variable-binding constructs. In this book, we focus on equational logic as a fundamental and natural concept in computer science and mathematics. We present calculi for equa tional reasoning modulo higher-order equations presented as rewrite rules. This is followed by a systematic development from general equational rea soning towards effective calculi for declarative programming in higher-order logic and A-calculus. This aims at integrating and generalizing declarative programming models such as functional and logic programming. In these two prominent declarative computation models we can view a program as a logical theory and a computation as a deduction.

Book details

Book category Books in English Computing & information technology Computer science Computer architecture & logic design

• Full title: Solving Higher-Order Equations
• Subtitle: From Logic to Programming
• Author: Christian Prehofer
• Language: English
• Binding: Paperback
• Number of pages: 188
• EAN: 9781461272786
• ISBN: 1461272785
• ID: 02232796
• Publisher: Springer, Basel
• Weight: 320 g
• Dimensions: 235 × 155 × 11 mm
• Date of publishing: 21. October 2012

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