Stratified languages

Journal of Symbolic Logic 57 (4):1366-1376 (1992)
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Abstract

We consider arbitrary stratified languages. We study structures which satisfy the same stratified sentences and we obtain an extension of Keisler's Isomorphism Theorem to this situation. Then we consider operations which are definable by a stratified formula and modify the `type' of their argument by one; we prove that for such an operation F the sentence c = F(c) and the scheme $\varphi(c) \leftrightarrow \varphi(F(c))$ , where φ(x) varies among all the stratified formulas with no variable other than x free, imply the same stratified {c}-sentences

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Citations of this work

Beneš’s Partial Model of $mathsf {NF}$: An Old Result Revisited.Edoardo Rivello - 2014 - Notre Dame Journal of Formal Logic 55 (3):397-411.

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References found in this work

Model Theory.Michael Makkai, C. C. Chang & H. J. Keisler - 1991 - Journal of Symbolic Logic 56 (3):1096.
Typical Ambiguity.Ernst P. Specker - 1962 - In Ernest Nagel (ed.), Logic, methodology, and philosophy of science. Stanford, Calif.,: Stanford University Press. pp. 116--23.
Permutations and stratified formulae a preservation theorem.Thomas Forster - 1990 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 36 (5):385-388.
Permutations and stratified formulae a preservation theorem.Thomas Forster - 1990 - Mathematical Logic Quarterly 36 (5):385-388.

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