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Boolean transformations with unique fixed points. (English) Zbl 1199.06055
Let $$B$$ be a Boolean algebra, $$n$$ an integer $$>1$$ and $$f\:B^n\to B^n$$. $$f$$ is called a Boolean respectively simple Boolean transformation, if its component functions are polynomial respectively term functions. Boolean transformations having a unique fixed point are characterized. Moreover, it is shown that in case $$n=2$$ there exist exactly $$36$$ simple Boolean transformations having exactly one fixed point and that $$12$$ of them are isotone.

##### MSC:
 6e+30 Boolean functions
Full Text:
##### References:
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