Computability on linear orderings enriched with predicates
Algebra i logika, Tome 48 (2009) no. 5, pp. 549-563

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Let $L$ be a quasidiscrete linear ordering. We specify some conditions for the existence of a computable presentation for $L$ or for the structure $(L,\operatorname{adj})$, where $\operatorname{adj}(x,y)$ is a predicate distinguishing adjacent elements.
Keywords: computability, quasidiscrete linear ordering.
@article{AL_2009_48_5_a0,
     author = {P. E. Alaev and J. Thurber and A. N. Frolov},
     title = {Computability on linear orderings enriched with predicates},
     journal = {Algebra i logika},
     pages = {549--563},
     publisher = {mathdoc},
     volume = {48},
     number = {5},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2009_48_5_a0/}
}
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P. E. Alaev; J. Thurber; A. N. Frolov. Computability on linear orderings enriched with predicates. Algebra i logika, Tome 48 (2009) no. 5, pp. 549-563. http://geodesic.mathdoc.fr/item/AL_2009_48_5_a0/