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We introduce a new percolation model, inspired by recent works on jigsaw percolation, graph bootstrap percolation, and percolation in polluted environments. We start with a collection of logical statements and known implications, as represented by an oriented graph G on n vertices. Then we attempt to logically complete the knowledge by transitivity, however, a censor places restrictions, represented by open and closed directed edges. We show that if G is a connected graph of bounded degree, and all other edges are open independently with probability p, then the transition between sparse and full completion of open edges occurs at p_c = (log n)^{-1/2+o(1)}. Joint work with Janko Gravner.
