STRUCTURAL HIGHNESS NOTIONS

STRUCTURAL HIGHNESS NOTIONS

We introduce several highness notions on degrees related to the problem of computing isomorphisms between structures, provided that isomorphisms exist. We consider variants along axes of uniformity, inclusion of negative information, and several other problems related to computing isomorphisms. Thes...

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Veröffentlicht in:The Journal of symbolic logic 2023-12, Vol.88 (4), p.1692-1724
Hauptverfasser: CALVERT, WESLEY, FRANKLIN, JOHANNA N. Y., TURETSKY, DAN
Format: Artikel
Sprache:eng
Schlagworte:
Computational mathematics
Problem solving
Structural equation modeling
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Zusammenfassung:We introduce several highness notions on degrees related to the problem of computing isomorphisms between structures, provided that isomorphisms exist. We consider variants along axes of uniformity, inclusion of negative information, and several other problems related to computing isomorphisms. These other problems include Scott analysis (in the form of back-and-forth relations), jump hierarchies, and computing descending sequences in linear orders.
ISSN:0022-4812
1943-5886
DOI:10.1017/jsl.2022.35