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We consider boolean circuits computing n-operators f : {0, 1}n {0, 1}n . As gates we allow arbitrary boolean functions; neither fanin nor fanout of gates is restricted. An operat...
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
We consider the deterministic and the randomized decision tree complexities for Boolean functions, denoted DC(f) and RC(f), respectively. A major open problem is how small RC(f) ca...