The computer modelling of mathematical reasoning /
[Book]
Alan Bundy, Department of Artificial Intelligence, Edinburgh.
New York :
Academic Press,
1983.
xiv, 322 pages :
illustrations ;
23 cm
"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.
Includes bibliographical references (pages 312-317) and index.
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.