Dualization of boolean functions using ternary decision diagrams

  • Takahisa Toda


Dualization of Boolean functions is a fundamental problem that appears in various fields such as artificial intelligence, logic, data mining, etc. For monotone Boolean functions, many empirical researches that focus on practical efficiency have recently been done. We extend our previous work for monotone dualization and present a novel method for dualization that allows us to handle any Boolean function, including non-monotone Boolean functions. We furthermore present a variant of this method in cooperation with all solutions solver. By experiments we evaluate efficiency and characteristics of our methods.


Dualization Ternary decision diagram Compression All solutions solver 

Mathematics Subject Classification (2010)



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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Graduate School of Information Systemsthe University of Electro-CommunicationsChofuJapan

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