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.

"About this title" may belong to another edition of this title.

Store Description

Quality books, speedy shipping, and great customer service! Please note that used items may not include access codes or cards, CD's or other accessories, regardless of what is stated in item title. If you need to guarantee that these items are included, please purchase a brand new copy.

Visit Seller's Storefront

Seller's business information

J2B Holdings, LLC
13770 NOEL RD, #803600, Dallas, TX, 75240, U.S.A.

Terms of Sale:

We guarantee the condition of every book as it's described on the AbeBooks web
sites. Please note that used items may not include access codes or cards, CD's
or other accessories, regardless of what is stated in item title. If you need to
guarantee that these items are included, please purchase a brand new copy.

All requests for refunds and/or returns will be processed in accordance with
AbeBooks policies. If you're dissatisfied with your purchase (Incorrect Book/Not
as Described/Damaged) or if ...

More Information

Shipping Terms:

Books ordered via expedited shipping should arrive between 2 and 7 business days after shipment confirmation. Books ordered via standard shipping should arrive between 4 and 14 business days after shipment confirmation.

Payment Methods
accepted by seller

Add to Wants

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)

Andrews, Peter B.

New - Hardcover

Seller's business information