Structure of Decidable Locally Finite Varieties

Lingua: inglese

Editore: Birkhauser Boston, 1989

0817634398 / 9780817634391

Serie: Libro 9 di 170 - Progress in Mathematics

Da: Buchpark, Trebbin, GermaniaBuchpark

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Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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.…

Codice articolo 581532/12

Titolo
Structure of Decidable Locally Finite Varieties
Autore
Valeriote, Matthew
Editore
Birkhauser Boston
Anno di pubblicazione
1989
Condizione
Sehr gut
Rilegatura
Rilegato
Lingua
inglese
ISBN 10
0817634398
ISBN 13
9780817634391
Serie
Libro 9 di 170: Progress in Mathematics
Cataloghi dei venditori
Bücher

Buchpark

Trebbin, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 30 settembre 2021

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 60 a 60 giorni lavorativiDa 60 a 60 giorni lavorativi
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