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Raymond M. Smullyan First-Order Logic (Paperback) Dover Books on Mathema 1.4tics
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eBay item number:406308376488
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Country of Origin
- US
- Book Title
- First-Order Logic
- Title
- First-Order Logic
- ISBN-10
- 0486683702
- EAN
- 9780486683706
- ISBN
- 9780486683706
- Release Date
- 02/01/2000
- Release Year
- 2000
- Genre
- Science Nature & Math
About this product
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486683702
ISBN-13
9780486683706
eBay Product ID (ePID)
914362
Product Key Features
Number of Pages
176 Pages
Language
English
Publication Name
First-Order Logic
Publication Year
1995
Subject
Logic
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.4 in
Item Weight
7.6 Oz
Item Length
8.4 in
Item Width
5.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
94-039736
Illustrated
Yes
Edition Description
Unabridged edition
Table Of Content
Part I. Propositional Logic from the Viewpoint of Analytic Tableaux Chapter I. Preliminaries 0. Foreword on Trees 1. Formulas of Propositional Logic 2. Boolean Valuations and Truth Sets Chapter II. Analytic Tableaux 1. The Method of Tableaux 2. Consistency and Completeness of the System Chapter III. Compactness 1. Analytic Proofs of the Compactness Theorem 2. Maximal Consistency: Lindenbaum's Construction 3. An Analytic Modification of Lindenbaum's Proof 4. The Compactness Theorem for Deducibility Part II. First-Order Logic Chapter IV. First-Order Logic. Preliminaries 1. Formulas of Quantification Theory 2. First-Order Valuations and Models 3. Boolean Valuations vs. First-Order Valuations Chapter V. First-Order Analytic Tableaux 1. Extension of Our Unified Notation 2. Analytic Tableaux for Quantification Theory 3. The Completeness Theorem 4. The Skolem-Löwenheim and Compactness Theorems for First-Order Logic Chapter VI. A Unifying Principle 1. Analytic Consistency 2. Further Discussion of Analytic Consistency 3. Analytic Consistency Properties for Finite Sets Chapter VII. The Fundamental Theorem of Quantification Theory 1. Regular Sets 2. The Fundamental Theorem 3. Analytic Tableaux and Regular Sets 4. The Liberalized Rule D Chapter VIII. Axiom Systems for Quantification Theory 0. Foreword on Axiom Systems 1. The System Q subscript 1 2. The Systems Q subscript 2, Q* subscript 2 Chapter IX. Magic Sets 1. Magic Sets 2. Applications of Magic Sets Chapter X. Analytic versus Synthetic Consistency Properties 1. Synthetic Consistency Properties 2. A More Direct Construction Part III. Further Topics in First-Order Logic Chapter XI. Gentzen Systems 1. Gentzen Systems for Propositional Logic 2. Block Tableaux and Gentzen Systems for First-Order Logic Chapter XII. Elimination Theorems 1. Gentzen's Hauptsatz 2. An Abstract Form of the Hauptsatz 3. Some Applications of the Hauptsatz Chapter XIII. Prenex Tableaux 1. Prenex Formulas 2. Prenex Tableaux Chapter XIV. More on Gentzen Systems 1. Gentzen's Extended Hauptsatz 2. A New Form of the Extended Hauptsatz 3. Symmetric Gentzen Systems Chapter XV. Craig's Interpolation Lemma and Beth's Definability Theorem 1. Craig's Interpolation Lemma 2. Beth's Definability Theorem Chapter XVI. Symmetric Completeness Theorems 1. Clashing Tableaux 2. Clashing Prenex Tableaux 3. A Symmetric Form of the Fundamental Theorem Chapter XVII. Systems of Linear Reasoning 1. Configurations 2. Linear Reasoning 3. Linear Reasoning for Prenex Formulas 4. A System Based on the Strong Symmetric Form of the Fundamental Theorem References; Subject index
Synopsis
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., 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., Considered the best book in the field, this completely 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 in on the tableau point of view. Topics include trees, tableau method for propositional logic, Gentzen systems, more. Includes 144 illustrations.
LC Classification Number
QA9.S57 19
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Seller feedback (568,941)
- 3***p (93)- Feedback left by buyer.Past 6 monthsVerified purchaseI've ordered from Rarewaves here in the US and the UK multiple times, and continue to do so. They always seem to have something I can't find anywhere else at all or for a reasonable price. When I purchase used items, they are as described, if not a grade better. Aways a quick turnaround after ordering, every item arrives promptly, professionally packaged. Many orders have free shipping, even for solitary item orders. I never needed a reason to communicate, as I've had no cause. Recommended.New Model Army Original Album Series (CD) Album (#297384568493)
- -***9 (194)- Feedback left by buyer.Past 6 monthsVerified purchaseA wonderful ebay seller! My item arrived on time and was well packaged for its trip through the mail. The item I received was in the exact condition as in the listing. The price was perfect, including shipping. The seller was very communicative when I had a few questions. You can't go wrong ordering from rarewaves-usa!
- c***m (448)- Feedback left by buyer.Past 6 monthsVerified purchaseAAA+++; Excellent Service; Great Pricing; Fast Delivery-Faster Than Expected to Hawaii , Received 08/16; DVD in Excellent Condition-Better than Described; TLC Packaging; Excellent Seller Communication, Sends updates . Highly Recommended!, Thank you very much!Colossus - The Forbin Project (DVD) Eric Braeden Susan Clark Gordon Pinsent (#297281425828)