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Solving Higher-Order Equations

From Logic to Programming

Christian Prehofer
Livre broché | Anglais | Progress in Theoretical Computer Science
167,95 €
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Description

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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Contenu

Nombre de pages :
188
Langue:
Anglais
Collection :

Caractéristiques

EAN:
9781461272786
Date de parution :
21-10-12
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
156 mm x 234 mm
Poids :
290 g

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