Dear forum,

 

Let’s say a have a list of subsets of a fixed finite set $\Omega$. Is there a 
nice and easy way to find the atoms of the Boolean algebra generated by these 
sets? Of course, I could implement this by hand, but it seems to me that 
something like this probably already exists and I simply had bad luck finding 
it.

 

A related question: Let’s say I have a list of partitions of $\Omega$ (i.e. a 
set of pairwise disjoint subsets that cover all of $\Omega$). Is there a nice 
and easy way to find the common refinement of all these partitions?

 

Best wishes

Johannes Hahn.

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