The Complexity of Finite Functions

نویسندگان

  • Ravi B. Boppana
  • Michael Sipser
چکیده

This paper surveys the recent results on the complexity of Boolean functions in terms of Boolean circuits, formulas, and branching programs. The primary aim is to give accessible proofs of the more di cult theorems proving lower bounds on the complexity of speci c functions in restricted computational models. These include bounded depth circuits, monotone circuits, and bounded width branching programs. Application to other areas are described including Turing machine complexity, relativization, and rst order de nability.

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تاریخ انتشار 1990