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by Heinz-Dieter Ebbinghaus
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    Heinz-Dieter Ebbinghaus
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    Springer; 2nd edition (November 14, 2005)
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    360 pages
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Finite model theory, the model theory of finite structures, has roots in clas­ sical model theory; however . Springer Monographs in Mathematics. Authors: Ebbinghaus, Heinz-Dieter, Flum, Jörg.

Springer Monographs in Mathematics.

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Finite Model Theory (Springer Monographs in Mathematics). Heinz-Dieter Ebbinghaus, Jörg Flum. Download (pdf, 1. 1 Mb) Donate Read.

Series: Springer Monographs in Mathematics. This book presents many nice topics in finite model theory. This entire field is a cross of computer science and math, and this book is strong on the math end, but not on the computer science angle.

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Heinz-Dieter Ebbinghaus (born 22 February 1939 in Hemer, Province of Westphalia) is a German mathematician and logician. Ebbinghaus wrote various books on logic, set theory and model theory, including a seminal work on Ernst Zermelo. His book Einführung in die mathematische Logik, joint work with Jörg Flum and Wolfgang Thomas, first appeared in 1978 and became a standard textbook of mathematical logic in the German-speaking area.

Heinz-Dieter Ebbinghaus, Jörg Flum.

Are you sure you want to remove Finite Model Theory (Springer Monographs in Mathematics) from your list? Finite Model Theory (Springer Monographs in Mathematics). by Heinz-Dieter Ebbinghaus. Published November 14, 2005 by Springer. Symbolic and mathematical Logic, Computer science.

Springer Monographs in Mathematics Read 283 articles with impact on. .

Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields". Finite-dimensional unitary representations of a group G carry a special algebraic and geometric structure that results from the fact that the unitary (ntimes n) matrices form a compact Lie group, on which we can view G as acting by left multiplication. Perspectives in Mathematical Logic. The text presents the main results of descriptive complexit. More).

This is a thoroughly revised and enlarged second edition that presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently.