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The Necessity of Feedback in Minimal Monotone Combinational Circuits
June 1977 (vol. 26 no. 6)
pp. 606-607
R.L. Rivest, Laboratory of Computer Science, Massachusetts Institute of Technology
We present a specific n-input 2n-output positive unate Boolean function which can be realized with 2n two-input gates if feedback is used, but which requires 3n-2 gates if feedback is not used.
Index Terms:
Boolean functions, feedback, gate complexity, minimal combinational circuits, monotone functions.
Citation:
R.L. Rivest, "The Necessity of Feedback in Minimal Monotone Combinational Circuits," IEEE Transactions on Computers, vol. 26, no. 6, pp. 606-607, June 1977, doi:10.1109/TC.1977.1674886
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