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portada Solving Higher-Order Equations: From Logic to Programming
Type
Physical Book
Author
Publisher
Language
English
Pages
188
Format
Paperback
Dimensions
23.4x15.6x1.1 cm
Weight
0.29 kg.
ISBN13
9781461272786
Categories

Solving Higher-Order Equations: From Logic to Programming

Christian Prehofer (Author) · Birkhauser · Paperback

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

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Synopsis "Solving Higher-Order Equations: From Logic to Programming"

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.

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