An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (Applied Logic Series, 27),Used

An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (Applied Logic Series, 27),Used

In Stock
SKU: SONG1402007639
Brand: Springer
$87.05 $124.36
Save $37.31
Quantity
Add to wishlist
Add to compare

Processing time: 1-3 days

US Orders Ships in: 3-5 days

International Orders Ships in: 8-12 days

Return Policy: 15-days return on defective items

Payment Option
Payment Methods

Help

If you have any questions, you are always welcome to contact us. We'll get back to you as soon as possible, withing 24 hours on weekdays.

Customer service

All questions about your order, return and delivery must be sent to our customer service team by e-mail at yourstore@yourdomain.com

Sale & Press

If you are interested in selling our products, need more information about our brand or wish to make a collaboration, please contact us at press@yourdomain.com

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.

⚠️ WARNING (California Proposition 65):

This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.

For more information, please visit www.P65Warnings.ca.gov.

Recently Viewed