This book is dedicated to new mathematical instruments assigned
for logical modeling of the memory of digital devices. The case in
point is logic-dynamical operation named venjunction and
venjunctive function as well as sequention and sequentional
function. Venjunction and sequention operate within the framework
of sequential logic. In a form of the corresponding equations, they
organically fit analytical expressions of Boolean algebra. Thus, a
sort of symbiosis is formed using elements of asynchronous
sequential logic on the one hand and combinational logic on the
other hand. So, asynchronous logic is represented in the form of
enhanced Boolean logic. The book contains initial concepts,
fundamental definitions, statements, principles and rules needed
for theoretical justification of the mathematical apparatus and its
validity for asynchronous logic. Asynchronous operators named
venjunctor and sequentor are designed for practical implementation.
These basic elements are assigned for realizing of memory functions
in sequential circuits. Present research work is the final stage of
generalization and systematization of all those ideas and
investigations, author's interest to which alternately flashed up
and faded over many years and for various reasons until formed
"critical mass," and all findings were arranged definitively as a
mathematical basis of a theory appropriately associated under a
common theme - asynchronous sequential logic, essentially
classified as switching logic, which falls into category of
algebraic logics.
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