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The Resource An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof, by Peter B. Andrews, (electronic resource)
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof, by Peter B. Andrews, (electronic resource)
Resource Information
The item An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof, by Peter B. Andrews, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof, by Peter B. Andrews, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 In case you are considering to adopt this book for courses with over 50 students, please contact ties.nijssen@springer.com for more information. This introduction to mathematical logic starts with propositional calculus and firstorder logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cutelimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higherorder logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory. Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises. Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higherorder logic for hardware and software specification and verification
 Language
 eng
 Edition
 Second edition.
 Extent
 1 online resource (xviii, 390 pages).
 Contents

 Preface to the Second Edition
 Preface
 Introduction
 1. Propositional Calculus
 2. FirstOrder Logic
 3. Provability and Refutability
 4. Further Topics in FirstOrder Logic
 5. Type Theory
 6. Formalized Number Theory
 7. Incompleteness and Undecidability
 Supplementary Exercises
 Summary of Theorems
 Bibliography
 List of Figures
 Index
 Isbn
 9789401599344
 Label
 An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof
 Title
 An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof
 Statement of responsibility
 by Peter B. Andrews
 Language
 eng
 Summary
 In case you are considering to adopt this book for courses with over 50 students, please contact ties.nijssen@springer.com for more information. This introduction to mathematical logic starts with propositional calculus and firstorder logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cutelimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higherorder logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory. Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises. Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higherorder logic for hardware and software specification and verification
 Cataloging source
 AU@
 http://library.link/vocab/creatorName
 Andrews, Peter B
 Dewey number
 511.3
 Index
 no index present
 LC call number
 QA8.910.3
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Applied Logic Series,
 Series volume
 27
 http://library.link/vocab/subjectName

 Mathematics
 Logic
 Electronic data processing
 Artificial intelligence
 Logic, Symbolic and mathematical
 Computational linguistics
 Artificial intelligence
 Computational linguistics
 Electronic data processing
 Logic
 Logic, Symbolic and mathematical
 Mathematics
 Label
 An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof, by Peter B. Andrews, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Preface to the Second Edition  Preface  Introduction  1. Propositional Calculus  2. FirstOrder Logic  3. Provability and Refutability  4. Further Topics in FirstOrder Logic  5. Type Theory  6. Formalized Number Theory  7. Incompleteness and Undecidability  Supplementary Exercises  Summary of Theorems  Bibliography  List of Figures  Index
 Dimensions
 unknown
 Edition
 Second edition.
 Extent
 1 online resource (xviii, 390 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9789401599344
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9789401599344
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)851367930
 (OCoLC)ocn851367930
 Label
 An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof, by Peter B. Andrews, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Preface to the Second Edition  Preface  Introduction  1. Propositional Calculus  2. FirstOrder Logic  3. Provability and Refutability  4. Further Topics in FirstOrder Logic  5. Type Theory  6. Formalized Number Theory  7. Incompleteness and Undecidability  Supplementary Exercises  Summary of Theorems  Bibliography  List of Figures  Index
 Dimensions
 unknown
 Edition
 Second edition.
 Extent
 1 online resource (xviii, 390 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9789401599344
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9789401599344
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)851367930
 (OCoLC)ocn851367930
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Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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