Number Theoretic Density and Logical Limit Laws Stanley N. Burris

ISBN: 9780821826669

Published: January 1st 2001

Hardcover

289 pages


Description

Number Theoretic Density and Logical Limit Laws  by  Stanley N. Burris

Number Theoretic Density and Logical Limit Laws by Stanley N. Burris
January 1st 2001 | Hardcover | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 289 pages | ISBN: 9780821826669 | 3.73 Mb

This text shows how a study of generating series (power series in the additive case and Dirichlet series in the multiplicative case), combined with structure theorems for the finite models of a sentence, lead to general and powerful results on limitMoreThis text shows how a study of generating series (power series in the additive case and Dirichlet series in the multiplicative case), combined with structure theorems for the finite models of a sentence, lead to general and powerful results on limit laws, including 0 - 1 laws.

It is unique in its approach to giving a combined treatment of topics from additive as well as from multiplicative number theory, in the setting of abstract number systems, emphasizing the remarkable parallels in the two subjects. Much evidence is collected to support the thesis that local results in additive systems lift to global results in multiplicative systems. All necessary material is given to understand thoroughly the method of Compton for proving logical limit laws, including a full treatment of Ehrenfeucht-Fraiss e games, the Feferman-Vaught Theorem, and Skolems quantifier elimination for finite Boolean algebras.



Enter the sum





Related Archive Books



Related Books


Comments

Comments for "Number Theoretic Density and Logical Limit Laws":


75u.eu

©2014-2015 | DMCA | Contact us