Further Comments on "Synthesis of Symmetric Switching Functions Using Threshold Logic Networks"<sup>1</sup>
Issue No.09 - September (1968 vol.17)
P.K. Sinha Roy , Dept. of Physics and Telecommunication Bengal Engineering Dollege
Recently, Fischler and Tannenbaum<sup>2</sup>indicated a counter example to Theorem 2 of this author's short note.<sup>1</sup>Theorem 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.<sup>1</sup>This should be read as "sufficient conditions only."
P.K. Sinha Roy, "Further Comments on "Synthesis of Symmetric Switching Functions Using Threshold Logic Networks"<sup>1</sup>", IEEE Transactions on Computers, vol.17, no. 9, pp. 899-900, September 1968, doi:10.1109/TC.1968.229117