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Solving Higher-Order Equations

Author: Christian Prehofer

Publisher: Springer Science & Business Media

ISBN: 9781461217787

Category: Computers

Page: 188

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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.
Solving Higher-Order Equations
Language: en
Pages: 188
Authors: Christian Prehofer
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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
Solving Higher-order Equations: from Logic to Programming
Language: en
Pages: 123
Authors: Technische Universitäet Muenchen. Institut für Informatik, Christian Prehofer
Categories: Functional programming (Computer science)
Type: BOOK - Published: 1995 - Publisher:

Abstract: "Higher-order constructs provide the necessary level of abstraction for concise and natural formulations in many areas of computer science. We present constructive methods for higher-order equational reasoning with applications ranging from theorem proving to novel programming concepts. A major problem of higher-order programming is the undecidability of higher-order unification.
Ordinary Differential Equations
Language: en
Pages: 892
Authors: Kenneth B. Howell
Categories: Mathematics
Type: BOOK - Published: 2019-12-11 - Publisher: CRC Press

The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals builds on the successful First Edition. It is unique in its approach to motivation, precision, explanation and method. Its layered approach offers the instructor opportunity for greater flexibility in coverage and depth. Students will appreciate the author’s approach
Solving Higher-order Equations
Language: en
Pages: 186
Authors: Christian Prehofer
Categories: Computer logic
Type: BOOK - Published: 1998 - Publisher:

Books about Solving Higher-order Equations
Techniques for Solving Higher-order Equations Using a Solution of the General Quartic Equation
Language: en
Pages: 24
Authors: C. R. Seliger, General Electric Company. Missile and Space Division, Valley Forge Space Technology Center
Categories: Equations, Quartic
Type: BOOK - Published: 1965 - Publisher:

Books about Techniques for Solving Higher-order Equations Using a Solution of the General Quartic Equation