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P.K. Sinha Roy, Dept. of Physics and Telecommunication Bengal Engineering Dollege
Recently, Fischler and Tannenbaum2indicated a counter example to Theorem 2 of this author's short note.1Theorem 2 (as well as the other theorems in the note) is a statement of the sufficiency conditions only. This means that if the conditions given in Theorem 2 are satisfied, then it is always possible to find a minimal realization for five positive transitions. It does not say that if the conditions given in Theorem 2 are not fulfilled, it is not possible to obtain such a network. The counterexample is such a case. The author regrets the use of the phrase "necessary and sufficient conditions" in the abstract and elsewhere in the note.1This should be read as "sufficient conditions only."
Citation:
P.K. Sinha Roy, "Further Comments on "Synthesis of Symmetric Switching Functions Using Threshold Logic Networks"1," IEEE Transactions on Computers, vol. 17, no. 9, pp. 899-900, Sept. 1968, doi:10.1109/TC.1968.229117
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