Solving Higher-Order Equations: From Logic to Programming Christian Prehofer

ISBN: 9780817640323

Published: December 18th 1997

Hardcover

188 pages


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Solving Higher-Order Equations: From Logic to Programming  by  Christian Prehofer

Solving Higher-Order Equations: From Logic to Programming by Christian Prehofer
December 18th 1997 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 188 pages | ISBN: 9780817640323 | 8.39 Mb

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-orderMoreThis 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.



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