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A question in some formal system with a yes-or-no answer.

2 votes
1 answer
53 views

Is deciding if there is a set that is intersected with some given sets and that has at most ...

Given 2 collections of finite sets $A_1,A_2,\ldots,A_m$ and $B_1,B_2,\ldots,B_n$, is there a set $T$ such that: $\left|T \cap A_j\right|\ge 1$, for $j = 1,2,\ldots,m$ and $\left|T \cap B_i\right|\le 1$ …