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Decidability of a portion of the predicate calculus

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Abstract

We show decidability of the existence of a model (a finite model) for sentences with the string of quantifiers ∀x(∃y 1...y n), for a language with equality, one one-place function, predicates and constants.

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References

  1. B. Dreben and D. Goldfarb, a book in preparation.

  2. Y. Gurevich,The decision problem for standard classes, J. Symbolic Logic41 (1976), 460–464.

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  3. M. O. Rabin,Decidability of second-order theories and automata on infinite trees, Trans. Amer. Math. Soc.141 (1969), 1–35.

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  4. S. Shelah,Various results in mathematical logic, Notices Amer. Math. Soc.22 (1975), A-23(75T-E4).

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I would like to thank the Israel Academy of Science and Humanities for partially supporting this research by a grant.

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Shelah, S. Decidability of a portion of the predicate calculus. Israel J. Math. 28, 32–44 (1977). https://doi.org/10.1007/BF02759780

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  • DOI: https://doi.org/10.1007/BF02759780

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