Geodesic
Undecidability of Elementary Theories of Rogers Semilattices on Limit Levels of Hyperarithmetical Hierarchy
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 4, pp. 3-7

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Proved that elementary theory of any non-trivial Rogers semilattice in hyperarithmetical hierarchy is undecidable.
Keywords: numbering, Rogers semilattice, hyperarithmetical hierarchy, minimal elements, minimal covers. 
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     author = {N. A. Baklanova},
     title = {Undecidability of {Elementary} {Theories} of {Rogers} {Semilattices} on {Limit} {Levels} of {Hyperarithmetical} {Hierarchy}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {3--7},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/VNGU_2011_11_4_a0/}
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N. A. Baklanova. Undecidability of Elementary Theories of Rogers Semilattices on Limit Levels of Hyperarithmetical Hierarchy. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 4, pp. 3-7. http://geodesic.mathdoc.fr/item/VNGU_2011_11_4_a0/