Polyhedral classes of $k$-valued logic functions with generalized filter taboo and semitaboo

We study the connections between the Boolean functions with generalized filter taboo (a pattern which cannot appear in the output sequence of a filter generator) and classes of $k$-valued logic functions constructed from these Boolean functions by means of extension method. It is shown that generalized filter taboo of a Boolean function may correspond to the generalized filter taboo of $k$-valued logic function as well as to its generalized filter semitaboo (a pattern in the output sequence of a $k$-valued filter generator which restricts the sets of possible values of some elements in the input sequence).