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)

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
Creator
Subject
Genre
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 first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higher-order 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 higher-order logic for hardware and software specification and verification
Member of
Cataloging source
AU@
http://library.link/vocab/creatorName
Andrews, Peter B
Dewey number
511.3
Index
no index present
LC call number
QA8.9-10.3
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)
Link
http://dx.doi.org/10.1007/978-94-015-9934-4
Instantiates
Publication
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. First-Order Logic -- 3. Provability and Refutability -- 4. Further Topics in First-Order 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
10.1007/978-94-015-9934-4
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)
Link
http://dx.doi.org/10.1007/978-94-015-9934-4
Publication
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. First-Order Logic -- 3. Provability and Refutability -- 4. Further Topics in First-Order 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
10.1007/978-94-015-9934-4
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)851367930
  • (OCoLC)ocn851367930

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...