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9780192867964

Fragments of First-Order Logic

by
  • ISBN13:

    9780192867964

  • ISBN10:

    0192867962

  • Format: Hardcover
  • Copyright: 2023-06-30
  • Publisher: Oxford University Press

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Author Biography


Ian Pratt-Hartmann, Senior Lecturer, University of Manchester Professor of Mathematical Sciences, University of Opole,

Ian Pratt-Hartmann studied mathematics and philosophy at Brasenose College, Oxford, and philosophy at Princeton and Stanford Universities, gaining his PhD from Princeton in 1987. He is currently Senior Lecturer in the Department of Computer Science at the University of Manchester as well as Professor of Mathematical Sciences in the Institute of Computer Science at the University of Opole, and recently held an appointment as Visiting Professor at the Department of Mathematics, Computer Science and Mechanics at the University of Warsaw.

Table of Contents


Preface
Acknowledgements
1. Introduction
Part I: Syntactic Restrictions
2. Roots
3. Variables
4. Guards
5. Prefixes
6. Fluting
Part II: Counting Quantifiers
7. Counting with one variable
8. Counting with two variables
9. Guarded counting
10. Omitting graphs
Part III: Semantic Constraints
11. Modalities
12. Equivalence
13. Equivalence and counting
14. Transitivity
15. Trees

Supplemental Materials

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