Geodesic
On the incompleteness of a model of algorithms for computing estimates
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 453-466

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It is shown that the Linear closure $\mathscr L\{A\}$ of the algorithms for computing estimates is invalid on a set of regular problems, and therefore the model of such algorithms is incomplete. However, for effectively separable problems $\{Z\}$, with respect to a given system of the reference sets $\{\Omega\}$, the class of algorithms $\mathscr L\{A\}$ is correct. A counter example showing that the condition of effective partition of the problems is not essential for the validity of $\mathscr L\{A\}$, is given. 
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     author = {V. L. Matrosov},
     title = {On the incompleteness of a model of algorithms for computing estimates},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {453--466},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a20/}
}
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V. L. Matrosov. On the incompleteness of a model of algorithms for computing estimates. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 453-466. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a20/