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MVL Researches

MVL researches are aimed on developing new theoretical and practical means for designing and analyzing devices in multiple valued logic systems that are more sophisticated, simpler, more economical, more powerful, more insightful, and more appropriate than the current means.   

So far, researchers in the area of multi-valued digital systems did not finalize an adequate and an independent mathematical system that is more representative of the multi-valued and multi-operational nature of multi-valued digital systems.  Instead, they incorporate the work of logicians in the development of their mathematical tools. 

In 1938, Cloud Shannon [5] was the first to adopt the work of George Boole logic (1849) and utilize it in Boolean algebra.  The adoption was successful because the binary digital system nature exactly resembles logic nature. Unfortunately, for multi-valued digital systems, researchers could not develop their mathematical tools as fast as in the case of binary system because logic nature does not resemble the multi-valued nature of multi-valued digital systems.  Working with unjustifiable logic states (ex. false, true, half-true, etc.) will not advance mathematical tools for multi-valued digital systems. 

Researchers have to abandon the logician’s mentality era and start in a different direction of their own to take new steps towards a major change in addressing the multi-valued and multi-operational nature of multi-valued digital systems.  Albert Einstein elevated physics from the Newtonian physics era to the relativistic physics era.  Similarly, researchers can elevate multi-valued digital systems from logician’s era to the new multi-valued-multi-operational (MvMo) era and open a wide research area for multi-valued digital systems.  This research is a major step in this direction.  It lays out the foundations of the new era in an attempt to advance the development and analysis cycle of digital systems.