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- W4206369274 abstract "We investigate the complexity of the partial order relation of Young's lattice. The definable relations are characterized by establishing the maximal definability property modulo the single automorphism given by conjugation; consequently, as an ordered set Young's lattice has an undecidable elementary theory and is non-finitely axiomatizable but every ideal generates a finitely axiomatizable universal class of equivalence relations. We show the class of equivalence relations has positive definability and is second-order capable in the finite. We end with conjectures concerning the complexities of the Σ1 and Σ2-theories of Young's lattice." @default.
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- W4206369274 date "2022-04-01" @default.
- W4206369274 modified "2023-09-23" @default.
- W4206369274 title "Complexity in Young's lattice" @default.
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- W4206369274 doi "https://doi.org/10.1016/j.apal.2021.103075" @default.
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