ISBN: 9780486683706 - first-order logic (39 risultati)

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Paperback. Condizione: Good. 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).…

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Paperback. Condizione: Good. 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).…

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Paperback. Condizione: Good+. Reissue Edition. Dover Books On Mathematics; 5.42 X 0.39 X 8.48 inches; 158 pages; minor markings in the margins on a few pages. Previous owner's name on a prelim page. Minor, faint smudges on the top exterior edge of textblock. Minor shelf wear. Minor creasing on front cover. Good condition otherwise. No other noteworthy defects. ; - Your satisfaction is our priority. We offer free returns and respond promptly to all inquiries. Your item will be packaged with care and ship on the same or next business day. Buy with confidence.…

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Paperback. Condizione: Very Good. First-order Logic (Dover Books on MaTHEMA 1.4tics) This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping.…

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Paperback. Condizione: new. Paperback. This self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus is on the tableau point of view. Includes 144 illustrations. 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. After preliminary material on tress (necessary for the tableau method), Part I deals with propositional logic from the viewpoint of analytic tableaux, covering such topics as formulas or propositional logic, Boolean valuations and truth sets, the method of tableaux and compactness. 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. This self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus is on the tableau point of view. Includes 144 illustrations. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Paperback. Condizione: Like New. FIRST THUS. First Edition Thus. Published by Dover Publications, Inc., 1995. Octavo. Paperback. Book is like new. Covers have shelf wear.
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Soft cover. Condizione: Fine. Paperback. Condition: Fine. No marks, tears, or creases. Contents include: Part I. Propositional Logic from the Viewpoint of Analytic Tableau * Chapter I. Preliminaries * Chapter II. Analytic Tableaux * Chapter III. Compactness Part II. First-Order Logic * Chapter IV. First-Order Logic. Preliminaries * Chapter V. First-Order Analytic Tableaux * Chapter VI. A Unifying Principle * Chapter VII. The Fundamental Theorem of Quantification Theory * Chapter VIII. Axiom Systems for Quantification Theory * Chapter IX. Magic Sets * Chapter X. Analytic versus Synthetic Consistency Properties Part III. Further Topics in First-Order Logic * Chapter XI. Gentzen Systems * Chapter XII. Elimination Theorems * Chapter XIII. Prenex Tableaux * Chapter XIV. More on Gentzen Systems * Chapter XV. Craig's Interpolation Lemma and Beth's Definability Theorem * Chapter XVI. Symmetric Completeness Theorems * Chapter XVII. Systems of Linear Reasoning. …

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Taschenbuch. Condizione: Neu. Neuware - 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. Presented in tableau format, the material covers propositional and first-order logic. 144 illustrations.…