First-Order Logic

Raymond M Smullyan

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Idioma: inglés

Editorial: Dover Publications Inc., 2000

0486683702 / 9780486683706

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Descripción del artículo del vendedor

Except for this preface, this study is completely self-contained. It 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. We use the term analytic to apply to any proof procedure which obeys the subformula principle (we think of such a procedure as analysing the formula into its successive components). Gentzen cut-free systems are perhaps the best known example of ana- lytic proof procedures. Natural deduction systems, though not usually analytic, can be made so (as we demonstrated in 3]). In this study, we emphasize the tableau point of view, since we are struck by its simplicity and mathematical elegance. Chapter I is completely introductory. We begin with preliminary material on trees (necessary for the tableau method), and then treat the basic syntactic and semantic fundamentals of propositional logic. We use the term Boolean valuation to mean any assignment of truth values to all formulas which satisfies the usual truth-table conditions for the logical connectives. Given an assignment of truth-values to all propositional variables, the truth-values of all other formulas under this assignment is usually defined by an inductive procedure. We indicate in Chapter I how this inductive definition can be made explicit-to this end we find useful the notion of a formation tree (which we discuss earlier).…

N° de ref. del artículo CIN0486683702G

Título
First-Order Logic
Autor
Raymond M Smullyan
Editorial
Dover Publications Inc.
Año de publicación
2000
Estado
Good
Encuadernación
Paperback
Idioma
inglés
ISBN 10
0486683702
ISBN 13
9780486683706

World of Books (was SecondSale)

Montgomery, IL, Estados Unidos de America

Vendedor de 5 estrellas

Vendedor de IberLibro desde 20 de diciembre de 2007

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