Solving Higher-Order Equations - From Logic to Programming (Hardcover, 1998 ed.)

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."

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Series:	Progress in Theoretical Computer Science
Release date:	December 1997
First published:	1998
Authors:	Christian Prehofer
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Hardcover
Pages:	188
Edition:	1998 ed.
ISBN-13:	978-0-8176-4032-3
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
LSN:	0-8176-4032-0
Barcode:	9780817640323

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