Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part V, Tome 32 (1972), pp. 21-28
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N. K. Kossovski. Some properties of solutions of equations in a free semigroup. Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part V, Tome 32 (1972), pp. 21-28. http://geodesic.mathdoc.fr/item/ZNSL_1972_32_a3/
@article{ZNSL_1972_32_a3,
author = {N. K. Kossovski},
title = {Some properties of solutions of equations in a~free semigroup},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {21--28},
year = {1972},
volume = {32},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1972_32_a3/}
}
TY - JOUR
AU - N. K. Kossovski
TI - Some properties of solutions of equations in a free semigroup
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1972
SP - 21
EP - 28
VL - 32
UR - http://geodesic.mathdoc.fr/item/ZNSL_1972_32_a3/
LA - ru
ID - ZNSL_1972_32_a3
ER -
%0 Journal Article
%A N. K. Kossovski
%T Some properties of solutions of equations in a free semigroup
%J Zapiski Nauchnykh Seminarov POMI
%D 1972
%P 21-28
%V 32
%U http://geodesic.mathdoc.fr/item/ZNSL_1972_32_a3/
%G ru
%F ZNSL_1972_32_a3
Among other results i t is proved that some recursive set $M$ cannot be represented in the form $$ a\in M\Leftrightarrow\exists x_1\cdots x_n(P=Q), $$ where $P=Q$ is an equation in the free semigroup.