Finitely axiomatizable theories
Author(s)
Bibliographic Information
Finitely axiomatizable theories
(Siberian school of algebra and logic)
Consultants Bureau, c1997
Available at / 6 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
PER||24||1(N)97052350
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Note
Includes bibliographical references (p. 289-292) and index
Description and Table of Contents
Description
This is the only monograph devoted to the expressibility of finitely axiomatizable theories, a classical subject in mathematical logic. The volume summarizes investigations in the field that have led to much of the current progress, treating systematically all positive results concerning expressibility. Also included in this unique text are solutions to both the Vaught-Morely problem and the Hanf problem, and a number of new natural questions that provide prospects for further development of the theory.
Table of Contents
Interpretations. A Classification to Property Lists. Reductions of Signatures. Quasi-Succession of Morley Rank 2. Constructions with Empty Property List. Constructions with Unary Property List. Rigid Quasi-Succession. Proof of the Main Theorem. Existence Theorems. Complexity of Semantic Classes. Universal Classes of Models. Polar Construction and Analogues of Rice Theorem. Generalization Intelligence in Predicate Logic. Conclusion. Historical Remarks and Problems. Terminology List. Index of Denotatons. Subject Index.
by "Nielsen BookData"