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Solving Higher-Order Equations - From Logic to Programming (Paperback, Softcover reprint of the original 1st ed. 1998)
Loot Price: R2,762
Discovery Miles 27 620
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Solving Higher-Order Equations - From Logic to Programming (Paperback, Softcover reprint of the original 1st ed. 1998)
Series: Progress in Theoretical Computer Science
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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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