Structure of Decidable Locally Finite Varieties - Progress in Mathematics 79 (Paperback)
  • Structure of Decidable Locally Finite Varieties - Progress in Mathematics 79 (Paperback)
zoom

Structure of Decidable Locally Finite Varieties - Progress in Mathematics 79 (Paperback)

(author), (author)
£81.00
Paperback 216 Pages / Published: 08/10/2011
  • We can order this

Usually despatched within 3 weeks

  • This item has been added to your basket
A mathematically precise definition of the intuitive notion of "algorithm" was implicit in Kurt Godel's [1931] paper on formally undecidable propo- sitions of arithmetic. During the 1930s, in the work of such mathemati- cians as Alonzo Church, Stephen Kleene, Barkley Rosser and Alfred Tarski, Godel's idea evolved into the concept of a recursive function. Church pro- posed the thesis, generally accepted today, that an effective algorithm is the same thing as a procedure whose output is a recursive function of the input (suitably coded as an integer). With these concepts, it became possible to prove that many familiar theories are undecidable (or non-recursive)-i. e. , that there does not exist an effective algorithm (recursive function) which would allow one to determine which sentences belong to the theory. It was clear from the beginning that any theory with a rich enough mathematical content must be undecidable. On the other hand, some theories with a substantial content are decidable. Examples of such decidabLe theories are the theory of Boolean algebras (Tarski [1949]), the theory of Abelian groups (Szmiele~ [1955]), and the theories of elementary arithmetic and geometry (Tarski [1951]' but Tarski discovered these results around 1930). The de- termination of precise lines of division between the classes of decidable and undecidable theories became an important goal of research in this area. algebra we mean simply any structure (A, h(i E I)} consisting of By an a nonvoid set A and a system of finitary operations Ii over A.

Publisher: Springer-Verlag New York Inc.
ISBN: 9781461289081
Number of pages: 216
Weight: 340 g
Dimensions: 229 x 152 x 12 mm
Edition: Softcover reprint of the original 1st ed. 198

You may also be interested in...

The Manga Guide To Linear Algebra
Added to basket
Interest Rate Modeling. Volume 3
Added to basket
Linear Algebra: Concepts and Methods
Added to basket
Introduction to Graph Theory
Added to basket
Algebra I Essentials For Dummies
Added to basket
Interest Rate Modeling. Volume 2
Added to basket
Surreal Numbers
Added to basket
£14.99
Hardback
Calculus
Added to basket
£274.99
Hardback
Linear Algebra
Added to basket
£31.49
Paperback
Linear Algebra Done Right
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.