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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Computing & information technology Computer science Mathematical theory of computation

• Plný název: Solving Higher-Order Equations
• Podnázev: From Logic to Programming
• Autor: Christian Prehofer
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 188
• EAN: 9780817640323
• ISBN: 0817640320
• ID: 01399212
• Nakladatelství: Springer, Basel
• Hmotnost: 467 g
• Rozměry: 234 × 156 × 12 mm
• Rok vydání: 1998

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