By Vadim Vasyukevich
This booklet is devoted to new mathematical tools assigned for logical modeling of the reminiscence of electronic units. The working example is logic-dynamical operation named venjunction and venjunctive functionality in addition to sequention and sequentional functionality. Venjunction and sequention function in the framework of sequential common sense. In a kind of the corresponding equations, they organically healthy analytical expressions of Boolean algebra. therefore, a type of symbiosis is shaped utilizing parts of asynchronous sequential good judgment at the one hand and combinational good judgment however. So, asynchronous common sense is represented within the kind of stronger Boolean good judgment. The ebook comprises preliminary thoughts, primary definitions, statements, ideas and ideas wanted for theoretical justification of the mathematical gear and its validity for asynchronous good judgment. Asynchronous operators named venjunctor and sequentor are designed for functional implementation. those easy parts are assigned for understanding of reminiscence capabilities in sequential circuits. current study paintings is the ultimate level of generalization and systematization of all these rules and investigations, author’s curiosity to which alternately flashed up and light over decades and for numerous purposes until eventually shaped “critical mass”, and all findings have been prepared definitively as a mathematical foundation of a idea adequately linked below a standard subject – asynchronous sequential good judgment, basically categorised as switching common sense, which falls into type of algebraic logics.
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Extra resources for Asynchronous Operators of Sequential Logic: Venjunction & Sequention: Digital Circuit Analysis and Design
8 “Circuits” of logical indeterminacy 1 ∠ 1 : a) element without input – dead loop; b) point element – output from nowhere. Remark Above mentioned examples are remarkable because of their clarity. It seems to be the simplest way to demonstrate those not trivial possibilities that become available owing to mathematics of venjunctive formulae. : A trigger relay utilizing three-electrode thermionic vacuum tubes. : Method for Automatic Execution of Calculations with the Aid of Computers. German Pat.
8. a) b) Fig. 8 “Circuits” of logical indeterminacy 1 ∠ 1 : a) element without input – dead loop; b) point element – output from nowhere. Remark Above mentioned examples are remarkable because of their clarity. It seems to be the simplest way to demonstrate those not trivial possibilities that become available owing to mathematics of venjunctive formulae. : A trigger relay utilizing three-electrode thermionic vacuum tubes. : Method for Automatic Execution of Calculations with the Aid of Computers.
Accordingly, X input is assumed to be active in contrast to passive input Y. Otherwise in Fig. 4b X input is passive and Y input – active; switching Y = 0/1 on the background X = 1 is performed. a) c) b) Z Z V X ZX V Y X ZY DV Y X Y Fig. 4 a) Venjunctor with function Z = X ∠ Y ; b) Venjunctor with function Z = Y ∠ X ; c) DV – Double Venjunctor If venjunctive element has two outputs, it is double venjunctor, marked DV (Fig. 4c). Double venjunctor unites two venjunctors so that two mirror venjunctive functions are performed.