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Thirty Five Years of Automating Mathematics

  • Book
  • © 2003

Overview

Editors:
  1. Fairouz D. Kamareddine

    1. School of Mathematical and Computer Sciences, Heriot-Watt University, Riccarton, Edinburgh, Scotland, UK

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Part of the book series: Applied Logic Series (APLS, volume 28)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-8
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  2. A Mathematical Model for Biological Memory and Consciousness

    • N. G. De Bruijn
    Pages 9-23

  3. Towards an Interactive Mathematical Proof Mode

    • Henk Barendregt
    Pages 25-36

  4. Recent Results in Type Theory and Their Relationship to Automath

    • Robert L. Constable
    Pages 37-48

  5. Linear Contexts, Sharing Functors: Techniques for Symbolic Computation

    • Gérard Huet
    Pages 49-69

  6. De Bruijn’s Automath and Pure Type Systems

    • Fairouz Kamareddine, Twan Laan, Rob Nederpelt
    Pages 71-123

  7. Hoare Logic with Explicit Contexts

    • Michael Franssen
    Pages 125-148

  8. Transitive Closure and the Mechanization of Mathematics

    • Arnon Avron
    Pages 149-171

  9. Polymorphic Type-Checking for the Ramified Theory of Types of Principia Mathematica

    • M. Randall Holmes
    Pages 173-215

  10. Termination in ACL2 Using Multiset Relations

    • J. L. Ruiz-Reina, J. A. Alonso, M. J. Hidalgo, F. J. Martín-Mateos
    Pages 217-245

  11. The π-Calculus in FM

    • Murdoch J. Gabbay
    Pages 247-269

  12. Proof Development with Ωmega: The Irrationality of \(\sqrt 2\)

    • Jörg Siekmann, Christoph Benzmüller, Armin Fiedler, Andreas Meier, Immanuel Normann, Martin Pollet
    Pages 271-314

  13. Back Matter

    Pages 315-320
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About this book

THIRTY FIVE YEARS OF AUTOMATING MATHEMATICS: DEDICATED TO 35 YEARS OF DE BRUIJN'S AUTOMATH N. G. de Bruijn was a well established mathematician before deciding in 1967 at the age of 49 to work on a new direction related to Automating Mathematics. By then, his contributions in mathematics were numerous and extremely influential. His book on advanced asymptotic methods, North­ Holland 1958, was a classic and was subsequently turned into a book in the well known Dover book series. His work on combinatorics yielded influential notions and theorems of which we mention the de Bruijn-sequences of 1946 and the de Bruijn-Erdos theorem of 1948. De Bruijn's contributions to mathematics also included his work on generalized function theory, analytic number theory, optimal control, quasicrystals, the mathematical analysis of games and much more. In the 1960s de Bruijn became fascinated by the new computer technology and as a result, decided to start the new AUTOMATH project where he could check, with the help of the computer, the correctness of books of mathematics. In each area that de Bruijn approached, he shed a new light and was known for his originality and for making deep intellectual contributions. And when it came to automating mathematics, he again did it his way and introduced the highly influential AUTOMATH. In the past decade he has also been working on theories of the human brain.

Editors and Affiliations

  • School of Mathematical and Computer Sciences, Heriot-Watt University, Riccarton, Edinburgh, Scotland, UK

    Fairouz D. Kamareddine

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