Index Generation Functions

Tsutomu Sasao received B.E., M.E., and Ph.D. degrees in Electronics Engineering from Osaka University, Osaka Japan, in 1972, 1974, and 1977, respectively. He has held faculty/research positions at Osaka University, Japan; IBM T. J. Watson Research Center, Yorktown Heights, NY; the Naval Postgraduate School, Monterey, CA; and Kyushu Institute of Technology, Iizuka, Japan. Now, he is a Professor of Department of Computer Science, Meiji University, Kawasaki, Japan. His research areas include logic design and switching theory, representations of logic functions, and multiple-valued logic. He has published more than 10 books on logic design including, Logic Synthesis and Optimization (1993), Representation of Discrete Functions (1996), Switching Theory for Logic Synthesis (1999), Logic Synthesis and Verification (2002), Progress in Applications of Boolean Functions (2010), Memory-Based Logic Synthesis (2011), and Applications of Zero-suppressed Decision Diagrams (2015). He has served as Program Chairman for the IEEE International Symposium on Multiple-Valued Logic (ISMVL) many times. Also, he was the Symposium Chairman of the 28th IS-MVL held in Fukuoka, Japan in 1998. He received the NIWA Memorial Award in 1979, Takeda Techno-Entrepreneurship Award in 2001, and Distinctive Contribution Awards from IEEE Computer Society MVL-TC for papers presented at ISMVLs in 1986, 1996, 2003, 2004, 2013, and 2018. He has served an associate editor of the IEEE Transactions on Computers. He is a Life Fellow of the IEEE.

Preface.- Acknowledgments.- Introduction.- Applications.- Definitions and Basic Properties.- Index Generation Functions and Their Realizations.- Minimization of Primitive Variables.- Linear Transformations of Input Variables.- Iterative Reduction of Compound Variables.- Irreducible Index Generation Function.- SAT-Based Method to Find Linear Transformations.- Statistical Approach.- Realization Using Four IGUs.- References on Index Generation Functions.- Conclusions.- Bibliography.- Author's Biography.- Index.