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 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 ...
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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 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 Skolem's quantifier elimination for finite Boolean algebras.
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Add this copy of Number Theoretic Density and Logical Limit Laws to cart. $75.00, very good condition, Sold by Lavendier Books rated 5.0 out of 5 stars, ships from Foster, RI, UNITED STATES, published 2000 by American Mathematical Society.
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Very Good. American Mathematical Society; Providence, 2001. Hardcover. First edition. Very Good, fading to spine/slight bumping & wear to corners, with no dustwrapper as issued. A nice, clean and unmarked copy. 8vo[octavo or approx. 6 x 9 inches], 289pp., indexed. We pack securely and ship daily with delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.
Add this copy of Number Theoretic Density and Logical Limit Laws to cart. $126.45, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2001 by American Mathematical Society.
