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First-Order Logic
Paperback
Series: Dover Books on Mathematics
Publisher Price: $10.95
ISBN13: 9780486683706
Publisher: Dover Publications
Published: Jan 30 1995
Pages: 176
Weight: 0.38
Height: 0.39 Width: 5.42 Depth: 8.48
Language: English
This completely self-contained study, widely considered the best book in the field, is intended to serve both as an introduction to quantification theory and as an exposition of new results and techniques in analytic or cut-free methods. Impressed by the simplicity and mathematical elegance of the tableau point of view, the author focuses on it here.
Part II covers first-order logic, offering detailed treatment of such matters as first-order analytic tableaux, analytic consistency, quantification theory, magic sets, and analytic versus synthetic consistency properties.
Part III continues coverage of first-order logic. Among the topics discussed are Gentzen systems, elimination theorems, prenex tableaux, symmetric completeness theorems, and system linear reasoning.
Raymond M. Smullyan is a well-known logician and inventor of mathematical and logical puzzles. In this book he has written a stimulating and challenging exposition of first-order logic that will be welcomed by logicians, mathematicians, and anyone interested in the field.
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