Automated Development of Fundamental Mathematical Theories
Author:   Art Quaife
Publisher:   Springer
Edition:   1993 ed.
Volume:   2
ISBN:  

9780792320210


Pages:   273
Publication Date:   30 November 1992
Format:   Hardback
Availability:   In Print   Availability explained
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Automated Development of Fundamental Mathematical Theories


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Author:   Art Quaife
Publisher:   Springer
Imprint:   Springer
Edition:   1993 ed.
Volume:   2
Dimensions:   Width: 15.60cm , Height: 1.70cm , Length: 23.40cm
Weight:   1.310kg
ISBN:  

9780792320210


ISBN 10:   0792320212
Pages:   273
Publication Date:   30 November 1992
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface: A Personal View of Automated Reasoning Research. 1. Introduction to Automated Reasoning. 2. Von Neumann-Bernays-Godel Set Theory. 3. Peano's Arithmetic. 4. Tarski's Geometry. 5. Lob's Theorem and Godel's Two Incompleteness Theorems. 6. Unsolved Problems in Elementary Number Theory. Appendix 1: Godel's Axioms for Set Theory. Appendix 2: Theorems Proved in NBG Set Theory. Appendix 3: Theorems Proved in Peano's Arithmetic. Bibliography. Index of Names. Index of Subjects.

Reviews

' Quaife's work represents a breakthrough in automated reasoning for demonstrating that proofs of deep, well-known theorems of set theory and number theory can be mechanically derived, in a practical way, from the most elegant, simple, and general purpose foundations: set theory (a finite, first order axiomatization) and resolution (as implemented in the Otter system). ' Robert Boyer, University of Texas at Austin


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