Last edited by Fenrisho
Sunday, May 10, 2020 | History

5 edition of Mechanical Theorem Proving in Geometries found in the catalog.

Mechanical Theorem Proving in Geometries

Basic Principles (Texts and Monographs in Symbolic Computation)

by Wen-tsГјn Wu

  • 179 Want to read
  • 29 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Analytic geometry,
  • Mathematical theory of computation,
  • Set theory,
  • Logic,
  • General,
  • Mathematics,
  • Science/Mathematics,
  • Computer Science,
  • Geometry - Algebraic,
  • Geometry - General,
  • Mathematics / Logic,
  • Automatic theorem proving,
  • Data processing,
  • Geometry

  • Edition Notes

    ContributionsX. Jin (Translator), D. Wang (Translator)
    The Physical Object
    FormatPaperback
    Number of Pages288
    ID Numbers
    Open LibraryOL9020472M
    ISBN 103211825061
    ISBN 109783211825068

      Computers were able to answer questions about polynomials so Wu had a powerful method of proving geometric theorems on a computer. He wrote the important book Mechanical theorem proving in geometries () in Chinese which was translated into English and published ten years later. The book has six chapters. Wu Wenjun (Chinese: 吴文俊; 12 May – 7 May ), also commonly known as Wu Wen-tsün, was a Chinese mathematician, historian, and writer. He was an academician at the Chinese Academy of Sciences (CAS), best known for the Wu's method of characteristic mater: Shanghai Jiao Tong University, University .

    On the Decision Problem and the Mechanization of Theorem-Proving in Elementary Geometry Some Recent Advances in Mechanical Theorem-proving of Geometries Proving Elementary Geometry Theorems Using Wu's Algorithm A noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories of the discipline in a historical and developmental context, and then focuses on the four principal domains of contemporary mathematical logic: set theory, model theory, recursion theory.

    ♥ Book Title: Mechanical Geometry Theorem Proving ♣ Name Author: Shang-Ching Chou ∞ Launching: Info ISBN Link: ⊗ Detail ISBN code: ⊕ Number Pages: Total sheet ♮ News id: R8iDSMbDC-kC Download File Start Reading. Euclid's Elements Book II, Proposition Law of Cosines. Median length, Apollonius' Theorem: The significance of the Pythagorean theorem by Jacob Bronowski. Pythagorean Theorem, 47th Proposition of Euclid's Book I. Carnot's Theorem. Geometry Problem Carnot's Theorem in an acute triangle, Circumcenter, Circumradius, Inradius.


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Mechanical Theorem Proving in Geometries by Wen-tsГјn Wu Download PDF EPUB FB2

Mechanical Theorem Proving in Geometries Basic Principles. Authors: Wu, Wen-tsün Free Preview. Buy this book eB68 Mechanical Theorem Proving in Geometries Book Subtitle Basic Principles Authors. Wen-tsün Wu; Translated by Wang, D., Jin, X.

Series TitleBrand: Springer-Verlag Wien. Li H () Vectorial Equations Solving for Mechanical Geometry Theorem Proving, Journal of Automated Reasoning,(), Online publication date: 1-Aug Recio T and Vélez M () Automatic Discovery of Theorems in Elementary Geometry, Journal of Automated Reasoning,(), Online publication date: 1-Jul There seems to be no doubt that geometry originates from such practical activ­ ities as weather observation and terrain survey.

But there are different manners, methods, and ways to raise the various experiences to the level of theory so that they finally constitute a science. : Mechanical Theorem Proving in Geometries: Basic Principles (Texts and Monographs in Symbolic Computation) (): Wu, Went Sun, Jin, Xiao Fan, Wang, Dong Ming: BooksCited by: Get this from a library.

Mechanical theorem proving in geometries: basic principles. [Wen-tsün Wu] -- This book is a translation of Professor Wu's seminal Chinese book of on Automated Geometric Theorem Proving.

The translation was done by his former. In appeared the present book “Basic Principles of Mechanical Theorem Proving in Geometries” devoted to a systematic exposition of such algebraic methods for MTP.

The book, written in. ISBN: OCLC Number: Notes: "Originally published as 'Basic principles of mechanical theorem proving in geometries' in Chinese language by Science Press, Beijing, "--Title page verso. Symbolic Logic And Mechanical Theorem Proving available for download and read online in other f This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications.

The book consists of three major parts. Mechanical Theorem Proving in Geometries. Wen-tsün Wu —   At the end of and the beginning ofthe author discovered a mechanical method for proving theorems in elementary geometries.

This method can be applied to various unordered elementary geometries satisfying the Pascalian Axiom, or to theorems not involving the concept of ‘order’ (e.g., thatc is ‘between’a andb) in various elementary by: modern geometries Download modern geometries or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Mechanical Theorem Proving In Geometries. Author by: Wen methods in this area that has drastically enhanced the scope of what is computationally tractable in automated theorem proving. This book is a source book for students and.

The book consists of three major parts. Chapters 2 and 3 constitute an introduction to symbolic logic. Chapters introduce several techniques in mechanical theorem proving, and Chapters 10 an 11 show how theorem proving can be applied to various areas such as question answering, problem solving, program analysis, and program synthesis.

Mechanical Theorem Proving in Tarski’s Geometry The first chapter cont ains the declarat ion of all the axioms and the defin ition of the collinearity predicate (noted Col).Author: Julien Narboux. Mechanical Geometry Theorem Proving (Mathematics and Its Applications) Hardcover – Decem by Shang-Ching Chou (Author) › Visit Amazon's Shang-Ching Chou Page.

Find all the books, read about the author, and more. See search results for this author. Are you an author. Cited by: Based on a well-ordering principle for differential polynomial sets, principles of mechanical theorem proving (MTP) and mechanical theorem discovering (MTD) are formulated and discussed.

Examples are given to show how these principles may be applied to problems in differential geometries and mechanics. System Upgrade on Feb 12th During this period, E-commerce and registration of new users may not be available for up to 12 hours.

For online purchase, please visit us again. Mechanical geometry theorem proving Shang-Ching Chou. Categories: Mathematics\\Geometry and Topology. Year: Edition: 1 You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read.

Whether you've loved the book or not, if you give your honest and detailed. Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs.

Automated reasoning over mathematical proof was a major impetus for the development of computer science. 1 Logical foundations. 2 First implementations. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We present an algorithm that is able to confirm projective incidence statements by carrying out calculations in the ring of all formal determinants (brackets) of a configuration.

We will describe an implementation of this prover and present a series of examples treated by the prover, including Pappos' and Desargues. 3(),4, It¥*Jlfl JfalIunJ!fj:YciRJlJia SOME REMARKS ON MECHANICAL THEOREM-PROVING IN ELEMENTARY GEOMETRY TVu Wenjun(Wu Wen-tsun,~j(~) Institute of Systems Science, Academia Sinica Dedicated to Professor Lee Kwok-ping (Li Guoping) on the Occasion of his seth Year of Educational and Scientific Work In a previous paper (c I [3J) we have pointed out that almost all Cited by: 8.

Chapter 8 CLIFFORD ALGEBRA APPROACHES TO MECHANICAL GEOMETRY THEOREM PROVING Hongbo Li Stimulated by the need for geometrically invariant representations and computations, H.

Li and M. Cheng have developed a method for automated geometry theorem proving (AGTP) based on Clifford algebra since Cited by:. Automated Theorem Proving: After 25 Years: After 25 Years.

W. W. Bledsoe, American Mathematical Society. Meeting. 1 Review. Preview this book Some Recent Advances in Mechanical Theoremproving of Geometries. /5(1).Clifford Algebra and Mechanical Geometry Theorem Proving Yang Haiquan, Zhang Shugong and Feng Guochen Institute of mathematics, Jilin University §1.

Introduction It is a difficult problem which is left since the Euclid times to find a mechanical method to prove difficult geometry theorems to make learning and teaching of geometry easy.Mechanical Geometry Theorem Proving Shang-Ching Chou.

Categories: Mathematics\\Computer Algebra. Year: Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.