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On uniformity within NC1
1990
Journal of computer and system sciences (Print)
In order to study circuit complexity classes within NC' in a uniform setting, we need a uniformity condition which is more restrictive than those in common use. Two such conditions, stricter than NC' uniformity, have appeared in recent research: Immerman's families of circuits defined by first-order formulas and a uniformity corresponding to Buss' deterministic log-time reductions. We show that these two notions are equivalent, leading to a natural notion of uniformity for low-level circuit
doi:10.1016/0022-0000(90)90022-d
fatcat:zdlwqu25tnh6rbht7wd264jfe4