Complexity in Young's lattice
نویسندگان
چکیده
We investigate the complexity of partial order relation Young's lattice. The definable relations are characterized by establishing maximal definability property modulo single automorphism given conjugation; consequently, as an ordered set lattice has undecidable elementary theory and is non-finitely axiomatizable but every ideal generates a finitely universal class equivalence relations. show positive second-order capable in finite. end with conjectures concerning complexities Σ1 Σ2-theories
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2022
ISSN: ['0168-0072', '1873-2461']
DOI: https://doi.org/10.1016/j.apal.2021.103075