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Stratified languages

Published online by Cambridge University Press:  12 March 2014

A. Pétry
A. Pétry*
Affiliation:
Institut Supérieur, Industriel Liégeois, B 4020 Liège, Belgium
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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 φ(c) ↔ (F(c)), where ↔(x) varies among all the stratified formulas with no variable other than x free, imply the same stratified {c}-sentences.

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Type
Research Article
Information
The Journal of Symbolic Logic , Volume 57 , Issue 4 , December 1992, pp. 1366 - 1376
Copyright
Copyright © Association for Symbolic Logic 1992

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References

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