Geodesic
Some properties of $P$-sets of finite-automaton functions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2013), pp. 51-53

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Classes of deterministic finite functions are considered in the paper and each state of those functions realizes a function from some closed class $D$ of $k$-valued logic ($P$-sets). It is proved that there exists continuum of precomplete classes $C$ containing an arbitrary $P$-set. The problem of existence of a completeness criterion for systems containing $P$-sets is also considered. 
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     author = {A. A. Rodin},
     title = {Some properties of $P$-sets of finite-automaton functions},
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A. A. Rodin. Some properties of $P$-sets of finite-automaton functions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2013), pp. 51-53. http://geodesic.mathdoc.fr/item/VMUMM_2013_1_a8/