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Solving Higher Order Equations Book PDF Summary

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.

Detail Book of Solving Higher Order Equations PDF

Solving Higher Order Equations
  • Author : Christian Prehofer
  • Release : 06 December 2012
  • Publisher : Springer Science & Business Media
  • ISBN : 9781461217787
  • Genre : Computers
  • Total Page : 193 pages
  • Language : English
  • PDF File Size : 13,5 Mb

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