Geodesic
The class of projective planes is noncomputable
Algebra i logika, Tome 47 (2008) no. 4, pp. 428-455

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Computable projective planes are investigated. It is stated that a free projective plane of countable rank in some inessential expansion is unbounded. This implies that such a plane has infinite computable dimension. The class of all computable projective planes is proved to be noncomputable (up to computable isomorphism).
Keywords: computable projective plane, free projective plane, computable class of structures, computable dimension of structure. 
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     author = {N. T. Kogabaev},
     title = {The class of projective planes is noncomputable},
     journal = {Algebra i logika},
     pages = {428--455},
     publisher = {mathdoc},
     volume = {47},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2008_47_4_a1/}
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N. T. Kogabaev. The class of projective planes is noncomputable. Algebra i logika, Tome 47 (2008) no. 4, pp. 428-455. http://geodesic.mathdoc.fr/item/AL_2008_47_4_a1/