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Ramadan
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.