Abstract
The first chapter is entirely dedicated to venjunction, which is represented as a logic-dynamical operation of asynchronous sequential logic. This operation is being thoroughly examined from all angles, such as: prerequisites of appearing, particularities of the implied time, necessary definitions, methods of analytical and graphical representations, enumeration of two-variable functions, and finishing by basic features of venjunctions in connection with operations of Boolean algebra. In the beginning of this section one will find clarifications of terminology to avoid incomprehension, and assure continuity between generally accepted notions and innovations. This to one or another degree refers to the following notions: format of a binary set, asynchronous sequence, logical switchings, moments and background of switchings, sequence of logical switchings, switching and venjunctive functions, venjunctive complete form, graph of venjunctive function, cyclic graph of switchings, and venjunctive representation of indeterminacy.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Vasyukevich, V.: Whenjunction as a logic/dynamic operation. Definition, implementation and applications. Automatic Control and Computer Sciences 18(6), 68–74 (1984)
Vasyukevich, V.: Asynchronous sequences decoding. ACCS Journal 41(2), 93–99 (2007)
Peirce, C.: On the Algebra of Logic. American Journal of Mathematics 3, 15–57 (1880)
Sheffer, H.: A set of five independent postulates for Boolean algebras, with application to logical constants. Transactions of the American Mathematical Society 14, 481–488 (1913)
Venn, J.: On the Diagrammatic and Mechanical Representation of Propositions and Reasonings. Philosophical Magazine and Journal of Science, Ser. 5Â 10(59) (1880)
Zhegalkin, I.: On the Technique of Calculating Propositions in Symbolic Logic. Mathematical Journal 34(1), 9–28 (1927) (in Russian)
Veitch, E.: A Chart Method for Simplifying Truth Functions. Transactions of the 1952 ACM Annual Meeting, 127–133 (1952)
Karnaugh, M.: The Map Method for Synthesis of Combinational Logic Circuits. Transactions of the American Institute of Electrical Engineers, P. I 72(9), 593–599 (1953)
De Morgan, A.: Formal Logic; or, The Calculus of Inference, Necessary and Probable. Taylor and Walton (1847)
Blake, A.: Canonical expressions in Boolean algebra. The Journal of Symbolic Logic 3(2) (1938)
Poretsky, P.: On methods of solution of logical equalities and on inverse method of mathematical logic. Collected Reports of Meetings of Physical and Mathematical Sciences Section of Naturalists’ Society at Kazan University 2 (1984) (in Russian)
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Vasyukevich, V. (2011). Venjunction. In: Asynchronous Operators of Sequential Logic: Venjunction & Sequention. Lecture Notes in Electrical Engineering, vol 101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21611-4_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-21611-4_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21610-7
Online ISBN: 978-3-642-21611-4
eBook Packages: EngineeringEngineering (R0)