Efficient decomposition of comparison and its applications

نویسندگان

  • Valeriu Beiu
  • Jean A. Peperstraete
  • Joos Vandewalle
  • Rudy Lauwereins
چکیده

The paper deals with transformation algorithms for decomposing Boolean neural networks (NNs); this being done with a view to possible VLSI implementation of NNs using threshold gates (TGs). We detail a possible tree decomposition for COMPARISON, and show how this can be used for the decomposition of Boolean functions (BFs) belonging to FN,m – the class of BFs of N variables that have exactly m groups of ones. Complexity estimates are given, the results being: (i) linear size; (ii) logarithmic depth; (iii) constant weights; and (iv) constant threshold.

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تاریخ انتشار 1993