Geodesic
Algebra over estimation algorithms: Normalization and division
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 6, pp. 1099-1109

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An algebra over recognition algorithms supplemented with a normalization operation (under various definitions) and the division operation is investigated. Correctness criteria for various algebraic closures are obtained. 
@article{ZVMMF_2007_47_6_a13,
     author = {A. G. D'yakonov},
     title = {Algebra over estimation algorithms: {Normalization} and division},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1099--1109},
     publisher = {mathdoc},
     volume = {47},
     number = {6},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a13/}
}
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A. G. D'yakonov. Algebra over estimation algorithms: Normalization and division. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 6, pp. 1099-1109. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_6_a13/