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A Comparison of Modified Reconstructability Analysis and Ashenhurst‐Curtis Decomposition of Boolean Functions
  • Anas Al-Rabadi, Portland State University
  • Marek Perkowski, Portland State University
  • Martin Zwick, Portland State University
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  • Cybernetics,
  • Boolean functions,
  • Computational complexity,
  • Symbolic and mathematical logic
Modified reconstructability analysis (MRA), a novel decomposition technique within the framework of set‐theoretic (crisp possibilistic) reconstructability analysis, is applied to three‐variable NPN‐classified Boolean functions. MRA is superior to conventional reconstructability analysis, i.e. it decomposes more NPN functions. MRA is compared to Ashenhurst‐Curtis (AC) decomposition using two different complexity measures: log‐functionality, a measure suitable for machine learning, and the count of the total number of two‐input gates, a measure suitable for circuit design. MRA is superior to AC using the first of these measures, and is comparable to, but different from AC, using the second.

Authors' version of an article which subsequently appeared in Kybernetes, published by Emerald Group Publishing Limited. The version of record may be found at

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Al-Rabadi, A., Zwick, M., and Perkowski, M. (2004). "A Comparison of Modified Reconstructability Analysis and Ashenhurst-Curtis Decomposition of Boolean Functions." Kybernetes, vol. 33, No. 5/6, pp. 933-947.