The computer modelling of mathematical reasoning /
General Material Designation
[Book]
First Statement of Responsibility
Alan Bundy, Department of Artificial Intelligence, Edinburgh.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Academic Press,
Date of Publication, Distribution, etc.
1983.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiv, 322 pages :
Other Physical Details
illustrations ;
Dimensions
23 cm
GENERAL NOTES
Text of Note
"This book started as notes for a postgraduate course in Mathematical Reasoning given in the Department of Artificial Intelligence at Edinburgh from 1979 onwards."--Preface.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 312-317) and index.
CONTENTS NOTE
Text of Note
I. Formal notation -- Arguments about propositions -- The internal structure of propositions -- Miscellaneous topics -- II. Uniform proof procedures -- Formalizing the notion of proof -- Searching for a refutation -- Criticisms of uniform proof procedures -- III. Guiding search -- Decision procedures for inequalities -- Rewrite rules -- Using semantic information to guide proofs -- The productive use of failure -- Formalizing control information -- IV. Mathematical invention -- Concept formation -- Forming mathematical models -- V. Technical issues -- Clausal form -- Herbrand proof procedures -- Pattern matching -- Applications of artificial mathematics.