Geodesic
Correct algebras over estimation algorithms in the set of regular recognition problems with nonoverlapping classes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1327-1339

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Algebras over estimation algorithms in the set of regular problems with nonoverlapping classes are considered. A correctness criterion for the arbitrary degree algebraic closure of the model of estimation algorithms in the classification problems of this type is proposed; this criterion can be efficiently verified. An estimate of the minimal degree of the algebraic closure that is sufficient for constructing a correct classifier in an arbitrary regular problem with nonoverlapping classes is found. 
@article{ZVMMF_2009_49_7_a16,
     author = {Yu. V. Maksimov},
     title = {Correct algebras over estimation algorithms in the set of regular recognition problems with nonoverlapping classes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1327--1339},
     publisher = {mathdoc},
     volume = {49},
     number = {7},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a16/}
}
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Yu. V. Maksimov. Correct algebras over estimation algorithms in the set of regular recognition problems with nonoverlapping classes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1327-1339. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a16/