Geodesic
Index set of structures with two equivalence relations that are autostable relative to strong constructivizations
Algebra i logika, Tome 55 (2016) no. 4, pp. 465-477

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We derive a bound on the algorithmic complexity for the class of computable structures with two equivalence relations that have a strong constructivization and are autostable relative to strong constructivizations. We construct codings of a linear order and of an automorphically nontrivial directed irreflexive graph into a structure with two equivalence relations. It is proved that such codings preserve the degree spectrum and $d$-computable dimension.
Keywords: autostability relative to strong constructivizations, computable structure, hyperarithmetical hierarchy, index set, irreflexive directed graph, coding, linear order, strongly constructivizable structure, structure with two equivalence relations. 
@article{AL_2016_55_4_a5,
     author = {M. I. Marchuk},
     title = {Index set of structures with two equivalence relations that are autostable relative to strong constructivizations},
     journal = {Algebra i logika},
     pages = {465--477},
     publisher = {mathdoc},
     volume = {55},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2016_55_4_a5/}
}
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M. I. Marchuk. Index set of structures with two equivalence relations that are autostable relative to strong constructivizations. Algebra i logika, Tome 55 (2016) no. 4, pp. 465-477. http://geodesic.mathdoc.fr/item/AL_2016_55_4_a5/