Items related to An Introduction to Mathematical Logic and Type Theory:...
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (Applied Logic Series, 27) - Hardcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
- PublisherSpringer
- Publication date2002
- ISBN 10 1402007639
- ISBN 13 9781402007637
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages408
- Rating
Other Popular Editions of the Same Title
Search results for An Introduction to Mathematical Logic and Type Theory:...
Seller Image
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (Applied Logic Series, 27).
Seller: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Germany
Seller rating 4 out of 5 stars
2nd. 16 x 23 cm. 408 pages. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch. Seller Inventory # 6014VB
Quantity: 1 available
Stock Image
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (Applied Logic Series)
Seller: Wonder Book, Frederick, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: Very Good. Very Good condition. Applied Logic Series 27. A copy that may have a few cosmetic defects. May also contain light spine creasing or a few markings such as an owner's name, short gifter's inscription or light stamp. NOT AVAILABLE FOR SHIPMENT OUTSIDE OF THE UNITED STATES. Seller Inventory # W02A-03930
Quantity: 1 available
Stock Image
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof
Seller: ThriftBooks-Dallas, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Good. No Jacket. Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.6. Seller Inventory # G1402007639I3N10
Quantity: 1 available
Stock Image
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (Applied Logic Series, Band 27).
Published by
Kluwer Academic Publishers, 2002
ISBN 10: 1402007639
ISBN 13: 9781402007637
Used
Hardcover
Seller: Antiquariat Bernhardt, Kassel, Germany
Seller rating 5 out of 5 stars
gebundene Ausgabe. Condition: Gut. Applied Logic Series, Band 27. Zust: Gutes Exemplar. Mit Vorbesitzereintrag. Einband leicht verschmutzt, Frontschnitt mit Flecken. XVIII, 390 Seiten, Englisch 730g. Seller Inventory # 492485
Quantity: 1 available
Seller Image
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof
Published by
Kluwer Academic Publishers, Dordrecht, The Netherlands, 2002
ISBN 10: 1402007639
ISBN 13: 9781402007637
Used
Hardcover
Seller: Attic Books (ABAC, ILAB), London, ON, Canada
Seller rating 5 out of 5 stars
Hardcover. Condition: Very good. Applied Logic Series 27. xviii, 389 p. 24 cm. B&w figures. Some light soiling to exterior. Seller Inventory # 135811
Quantity: 1 available
Stock Image
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (Applied Logic Series, 27)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar2411530141272
Quantity: Over 20 available
Stock Image
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (Applied Logic Series, 27)
Seller: BennettBooksLtd, North Las Vegas, NV, U.S.A.
Seller rating 5 out of 5 stars
hardcover. Condition: New. In shrink wrap. Looks like an interesting title! Seller Inventory # Q-1402007639
Quantity: 1 available
Stock Image
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (Applied Logic Series, 27)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9781402007637_new
Quantity: Over 20 available
Seller Image
An Introduction to Mathematical Logic and Type Theory
Published by
Springer Netherlands Jul 2002, 2002
ISBN 10: 1402007639
ISBN 13: 9781402007637
New
Hardcover
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware 412 pp. Englisch. Seller Inventory # 9781402007637
Quantity: 2 available
Seller Image
An Introduction to Mathematical Logic and Type Theory
Print on DemandSeller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understandThe discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important i. Seller Inventory # 4092087
Quantity: Over 20 available