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Solving Higher-Order Equations - From Logic to Programming

Solving Higher-Order Equations - From Logic to Programming

Solving Higher-Order Equations - From Logic to Programming
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Solving Higher-Order Equations - From Logic to Programming Hardback - 1997

by Christian Prehofer

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Details

  • Title Solving Higher-Order Equations - From Logic to Programming
  • Author Christian Prehofer
  • Binding Hardback
  • Edition 1st
  • Condition New
  • Pages 188
  • Volumes 1
  • Language ENG
  • Publisher Birkhauser
  • Publication date 1997-12-18
  • Illustrated Yes
  • Features Illustrated
  • Bookseller's Inventory # BIBNNA-160833
  • ISBN 9780817640323 / 0817640320
  • Weight 1.09 lbs (0.49 kg)
  • Dimensions 9.56 x 6.35 x 0.76 in (24.28 x 16.13 x 1.93 cm)
  • Category Computers - Languages / Programming
  • Library of Congress subjects Logic, Symbolic and mathematical, Declarative programming
  • Library of Congress Catalogue Number 97031142
  • Dewey Decimal Code 005.131
  • Quantity available 1

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From the publisher

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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This monograph develops techniques for equational reasoning in higher-order logic.

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