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Yet another hierarchy theorem

Published online by Cambridge University Press:  12 March 2014

Max Kubierschky
Max Kubierschky*
Affiliation:
Abteilung für Mathematische Logik, Albert-Ludwigs-Universität, Eckerstr 1, 79104 Freiburg, Germany
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Abstract

n + 1 nested k-ary fixed point operators are more expressive than n. This holds on finite structures for all sublogics of partial fixed point logic PFP that can express conjunction, existential quantification and deterministic transitive closure of binary relations using at most k-ary fixed point operators and that are closed against subformulas. Among those are a lot of popular fixed point logics.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 2 , June 2000 , pp. 627 - 640
Copyright
Copyright © Association for Symbolic Logic 2000

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References

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