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Models and Computability

Models and Computability

Part of London Mathematical Society Lecture Note Series

U. Berger, C. S. Claude, R. Coles, P. H. Hertling, B. Khoussainov, Z. Chatzidakis, S. B. Cooper, W. Gasarch, F. Stephan, W. A. Hodges, R. A. Shore, B. Kim, J. F. Knight, L. Newelski, D. Normann, D. E. Over, M. Y. Prest, L. J. Rips, G. E. Sacks, K. Tent, J. Van Oosten, A. J. Wilkie
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  • Date Published: August 1999
  • availability: Available
  • format: Paperback
  • isbn: 9780521635509

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About the Authors
  • Together, Models and Computability and its sister volume Sets and Proofs will provide readers with a comprehensive guide to the current state of mathematical logic. All the authors are leaders in their fields and are drawn from the invited speakers at 'Logic Colloquium '97' (the major international meeting of the Association of Symbolic Logic). It is expected that the breadth and timeliness of these two volumes will prove an invaluable and unique resource for specialists, post-graduate researchers, and the informed and interested nonspecialist.

    • Indispensable for researchers in this area
    • Authors are top names
    • Broad coverage of topics
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    Reviews & endorsements

    ' … will prove an invaluable and unique resource for specialists, post-graduate researchers, and the informed and interested nonspecialist.' Extrait de L'Enseignement Mathématique

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    Product details

    • Date Published: August 1999
    • format: Paperback
    • isbn: 9780521635509
    • length: 430 pages
    • dimensions: 229 x 152 x 24 mm
    • weight: 0.63kg
    • availability: Available
  • Table of Contents

    1. Continuous functionals of dependent and transfinite types U. Berger
    2. Degree-theoretic aspects of computably enumerable reals C. S. Claude, R. Coles, P. H. Hertling and B. Khoussainov
    3. Simplicity and independence for pseudo-algebraically closed fields Z. Chatzidakis
    4. Clockwork or Turing universe? - remarks on causal determinism and computability S. B. Cooper
    5. A techniques-oriented survey of bounded queries W. Gasarch and F. Stephan
    6. Relative categoricity in abelian groups W. A. Hodges
    7. Computability and complexity revisited N. D. Jones
    8. Effective model theory: the number of models and their complexity B. Khoussainov and R. A. Shore
    9. A survey on canonical bases in simple theories B. Kim
    10. True approximations and models of arithmetic J. F. Knight
    11. On the topological stability conjecture L. Newelski
    12. A mahlo-universe of effective domains with totality D. Normann
    13. Logic and decision making D. E. Over
    14. The sheaf of locally definable scalars over a ring M. Y. Prest
    15. Human styles of quantificational reasoning L. J. Rips
    16. Recursion theoretic memories 1954–1978 G. E. Sacks
    17. Fields definable in simple groups K. Tent
    18. A combinatory algebra for sequential functionals of finite type J. Van Oosten
    19. Model theory of analytic and smooth functions A. J. Wilkie.

  • Editors

    S. Barry Cooper, University of Leeds

    John K. Truss, University of Leeds

    Contributors

    U. Berger, C. S. Claude, R. Coles, P. H. Hertling, B. Khoussainov, Z. Chatzidakis, S. B. Cooper, W. Gasarch, F. Stephan, W. A. Hodges, R. A. Shore, B. Kim, J. F. Knight, L. Newelski, D. Normann, D. E. Over, M. Y. Prest, L. J. Rips, G. E. Sacks, K. Tent, J. Van Oosten, A. J. Wilkie

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