Finitely axiomatizable theories

Author(s)

    • Pereti︠a︡tʹkin, M. G.

Bibliographic Information

Finitely axiomatizable theories

Mikhail G. Peretyatʹkin

(Siberian school of algebra and logic)

Consultants Bureau, c1997

Available at  / 6 libraries

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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"

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Details

  • NCID
    BA34750457
  • ISBN
    • 0306110628
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    rus
  • Place of Publication
    New York
  • Pages/Volumes
    xiv, 294 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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