Last edited by Kigabar
Thursday, July 30, 2020 | History

6 edition of Automated Reasoning in Higher-order Logic found in the catalog.

Automated Reasoning in Higher-order Logic

Set Comprehension and Extensionality in Church"s Type Theory

by C, E Brown

  • 214 Want to read
  • 39 Currently reading

Published by College Publications .
Written in English

    Subjects:
  • Mathematical logic,
  • Artificial Intelligence - Fuzzy Logic,
  • Logic,
  • Mathematics : Logic,
  • Philosophy : Logic,
  • Artificial Intelligence - General,
  • Computers,
  • Computer Books: General

  • The Physical Object
    FormatPaperback
    Number of Pages564
    ID Numbers
    Open LibraryOL12292749M
    ISBN 101904987575
    ISBN 109781904987574
    OCLC/WorldCa266973289

    Online shopping from a great selection at Books Store. Hello, Sign in. Account & Lists Account Returns & Orders. Higher Order Logic Theorem Proving and its Applications Reasoning about functional programs is rapidly becoming a hot topic in the field of automated theorem-proving. This paper contributes to the field by introducing a set of theorem proving tools to facilitate reasoning about functional programs using the HOL system. With the aim of.

    Automated reasoning in higher-order logic: set comprehension and extensionality in Church's type theory. [Chad E Brown] Book: All Authors / Contributors: Chad E Brown. Find more information about: ISBN: OCLC Number: Description. This second volume of "Handbook of Automated Reasoning" covers topics such as higher-order logic and logical frameworks, higher-order unification and matching, logical frameworks, proof-assistants using dependent type systems, and nonclassical logics. (source: Nielsen Book Data) A comprehensive resource on automated reasoning and its applications.

    This book aims to show that a programming language based on a simply typed version of higher-order logic provides an elegant, declarative means for providing such a treatment. Three broad topics are covered in pursuit of this goal. First, a proof-theoretic framework that supports a general view of logic programming is identified. @article{osti_, title = {Automated reasoning: Introduction and applications}, author = {Wos, L. and Overbeck, R. and Lusk, E. and Boyle, J.}, abstractNote = {This book is designed to explain how to use a computer program that automates reasoning. Papers 1 through 5 provide a complete introduction to automated reasoning, followed by a review of the basic concepts in paper 6.


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Automated Reasoning in Higher-order Logic by C, E Brown Download PDF EPUB FB2

/Automated Reasoning in Higher-Order Logic/ presents both a theoretical analysis of fragments of higher-order logic as well as a complete automated search procedure for an extensional form of higher-order logic.

The first part of the book provides a detailed presentation of the theory (syntax and semantics) of fragments of higher-order by: Automated Reasoning in Higher-order Logic by Chad E.

Brown,available at Book Depository with free delivery worldwide. After an overview of the early history of automated deduction, the areas covered are reasoning methods in first-order logic; equality and other built-in theories; methods of automated reasoning using induction; higher-order logic, which is used in a number of automatic and interactive proof-development systems; automated reasoning in nonclassical logics; decidable classes and model building; and implementation-related questions.

/Automated Reasoning in Higher-Order Logic/ presents both a theoretical analysis of fragments of higher-order logic as well as a complete automated search procedure for an extensional form of higher-order logic. The first part of the book provides a detailed presentation of the theory (syntax and semantics) of fragments of higher-order logic.5/5(3).

Browse book content. About the book. Search in this book. Search in this book. Browse content Automated Reasoning in Geometry. Shang-Ching Chou and Xiao-Shan Gao. Pages Higher-order logic and logical frameworks. Select Chapter 15 - Classical Type Theory. Book. Book Description Formal systems in computer science frequently involve specifications of computations over syntactic structures.

In this book, the authors develop a programming language based on a simply typed version of higher-order logic and show that it provides an elegant approach to performing computations over structures embodying s: 1.

Automated reasoning has matured into one of the most advanced areas of computer science. It is used in many areas of the field, including software and hardware verification, logic and functional programming, formal methods, knowledge representation, deductive databases, and artificial intelligence.

This handbook presents an overview of the fundamental ideas, techniques, and methods in automated reasoning and its applications. Gilles Dowek, in Handbook of Automated Reasoning, Combinators.

Recall that higher-order logic is just one among several variants of set theory [Davis ]. Like other variants of set theory, it can be expressed in first-order logic. Formal reasoning about computer programs can be based directly on the and in the book Current Trends in Hardware Veri cation and Automated Theorem Proving, edited by G.

Birtwistle and P.A. Subrahmanyam, Springer-Verlag, 1. namic logic can be represented in higher order logic. Automated reasoning is an area of cognitive science (involves knowledge representation and reasoning) and metalogic dedicated to understanding different aspects of study of automated reasoning helps produce computer programs that allow computers to reason completely, or nearly completely, automatically.

Although automated reasoning is considered a sub-field of artificial. The papers address the entire spectrum of research in automated reasoning including formalization of mathematics, proof theory, proof search, description logics, interactive proof checking, higher-order logic, combination methods, satisfiability procedures, and rewriting.

Automated Reasoning in Higher-Order Logic presents both a theoretical analysis of fragments of higher-order logic as well as a complete automated search procedure for an extensional form of higher-order logic.

The first part of the book provides a detailed presentation of the theory (syntax and semantics) of fragments of higher-order logic. The sheer complexity of computer systems has meant that automated reasoning, i.e. the ability of computers to perform logical inference, has become a vital component of program construction and of programming language design.

This book meets the demand for a. This approach allows several well-established automated and interactive reasoning tools for classical higher-order logic to be applied also to modal higher-order logic problems.

After an overview of the early history of automated deduction, the areas covered are reasoning methods in first-order logic; equality and other built-in theories; methods of automated reasoning using induction; higher-order logic, which is used in a number of automatic and interactive proof-development systems; automated reasoning in nonclassical logics; decidable classes and Reviews: 2.

practice of (first order, mathematical) logic and automated reasoning it succeeds beautifully. The textbook masterfully weaves together theory and practice. It would be easy to imagine using this book for several courses on logic, theorem proving, and decision.

This volume contains the proceedings of the 5th International Joint Conference on Automated Reasoning (IJCAR ). IJCAR was held during July as part of the Federated Logic Conference, hosted by the School of Informatics at the University ofEdinburgh,Scotland.

This book meets the demand for a self-contained and broad-based account of the concepts, the machinery and the use of automated reasoning. The mathematical logic foundations are described in conjunction with practical application, all with the minimum of prerequisites.

The approach is constructive, concrete and algorithmic: a key feature is that methods are described with reference to actual 5/5(1). Find many great new & used options and get the best deals for Automated Reasoning in Higher-Order Logic: Set Comprehension and at the best online prices at eBay.

Free shipping for many products. Purchase Handbook of Automated Reasoning, Volume II - 1st Edition. Print Book & E-Book. ISBN. This branch of automated reasoning is called automated model building. In classical Þrst-order logic, deductive theorem proving is semi-decidable, while inductive theorem proving and model building are not even gnif-icant that while books in theorem proving date from the early seventies [22, 48, 16, 27, 77, 44, 70], the.description logics higher order logic modal logics temporal logics theorem proving automated reasoning constraint solving deduction differential dynamic logic equational logic and rewriting higher-order rewriting HOL integer arithmetic interactive theorem proving isabelle logic maude program verification proof theory satisfiability.This two-volume set LNAI and constitutes the refereed proceedings of the 10th International Joint Conference on Automated Reasoning, IJCARheld in Paris, France, in July * In