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Circuit value problem

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The Circuit Value Problem (aka. the Circuit Evaluation Problem) is the computational problem of computing the output of a given Boolean circuit on a given input.

The problem is complete for P under uniform AC0 reductions. The Boolean Formula Value Problem (aka. Boolean Formula Evaluation Problem) is the special case of the problem when the circuit is a tree. The Boolean Formula Value Problem is complete for NC1[1]

The problem is closely related to Boolean Satisfiability Problem which is complete for NP and its complement Propositional Tautologihood Problem which is complete for coNP.

References

  1. ^ Samuel, Buss. "Boolean formula value problem (BFVP) in Alogtime". www.math.ucsd.edu. Retrieved 3 April 2016.