Free Shipping on all orders over $79. T&Cs apply. Limited time only.
Track My Order
Help Centre
1300 187 187
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Automated Development of Fundamental Mathematical Theories : Automated Reasoning Series, Vol 2 - Art Quaife

Automated Development of Fundamental Mathematical Theories

By: Art Quaife

Hardcover | 30 November 1992

At a Glance

Hardcover

$329.75

or 4 interest-free payments of $82.44 with

 or 

Ships in 7 to 10 business days

The author provides an introduction to automated reasoning, and in particular to resolution theorem proving using the prover OTTER. He presents a new clausal version of von Neumann-Bernays-G¶del set theory, and lists over 400 theorems proved semiautomatically in elementary set theory. He presents a semiautomated proof that the composition of homomorphisms is a homomorphism, thus solving a challenge problem.
The author next develops Peano's arithmetic, and gives more than 1200 definitions and theorems in elementary number theory. He gives part of the proof of the fundamental theorem of arithmetic (unique factorization), and gives and OTTER-generated proof of Euler's generalization of Fermat's theorem.
Next he develops Tarski's geometry within OTTER. He obtains proofs of most of the challenge problems appearing in the literature, and offers further challenges. He then formalizes the modal logic calculus K4, in order to obtain very high level automated proofs of L¶b's theorem, and of G¶del's two incompleteness theorems. Finally he offers thirty-one unsolved problems in elementary number theory as challenge problems.
Industry 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

You Can Find This Book In

Non-FictionComputing & I.T.Computer ScienceArtificial IntelligenceMathematicsMathematical FoundationMathematical LogicDatabasesData Capture & Analysis

More in Mathematical Logic

Current Trends in Automated Reasoning - Erika Bach

Current Trends in Automated Reasoning

Hardcover

$457.75

Handbook of Automated Reasoning - Rachel Phillips

Handbook of Automated Reasoning

Hardcover

$474.75

Advances in Automated Reasoning - Rachel Phillips

Advances in Automated Reasoning

Hardcover

$457.75

Cybersecurity for Internet of Health Things : 1st Edition - Mohiuddin Ahmed

Cybersecurity for Internet of Health Things

1st Edition

Hardcover

RRP $273.00

$180.75

34%
OFF
The Language of Mathematics : The Stories behind the Symbols - Raul Rojas

The Language of Mathematics

The Stories behind the Symbols

Hardcover

RRP $49.99

$40.75

18%
OFF
What Is Mathematical Logic 2E Cloth - Guillermo Badia

What Is Mathematical Logic 2E Cloth

Hardcover

$58.95

Introduction to Modern Cryptography : Revised Third Edition - Jonathan Katz

Introduction to Modern Cryptography

Revised Third Edition

Hardcover

RRP $231.00

$196.35

15%
OFF
Cybersecurity : A Practical Introduction - Nihad A. Hassan

Cybersecurity

A Practical Introduction

Hardcover

$419.99

Cybersecurity : A Practical Introduction - Nihad A. Hassan

Cybersecurity

A Practical Introduction

Paperback

$193.75

This product is categorised by