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We discuss the history and uses of the parallel census technique---an elegant tool in the study of certain computational objects having polynomially bounded census functions. A sequel GH will discuss advances (including CNS95 and Glaßer Gla00), some related to the parallel census technique and some due to other approaches, in the complexity-class collapses that follow if NP has sparse hard sets under reductions weaker than (full) truth-table reductions.

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A moment of perfect clarity I: the parallel census technique

Hemaspaandra, Lane A.; Glaßer, Christian
ACM SIGACT News , Volume 31 (3)
Association for Computing MachinerySep 1, 2000

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