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Titlebook: Associative Digital Network Theory; An Associative Algeb Nico F. Benschop Book Apr 2009Latest edition Springer Science+Business Media B.V.

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期刊全称Associative Digital Network Theory
期刊简称An Associative Algeb
影响因子2023Nico F. Benschop
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发行地址A unifying math/engineering approach to the basic computer functions: - combinational logic, arithmetic and state machines.Boolean logic spectral analysis yields planar mapping in Silicon VLSI technol
图书封面Titlebook: Associative Digital Network Theory; An Associative Algeb Nico F. Benschop Book Apr 2009Latest edition Springer Science+Business Media B.V.
影响因子.Associative Digital Network Theory. is intended for researchers at industrial laboratories,.teachers and students at technical universities, in electrical engineering, computer science and applied mathematics departments, interested in new developments of modeling and designing digital networks (DN: state machines, sequential and combinational logic) in general, as a combined math/engineering discipline. As background an undergraduate level of modern applied algebra (Birkhoff-Bartee: Modern Applied Algebra - 1970, and Hartmanis-Stearns: Algebraic Structure of Sequential Machines - 1970) will suffice...Essential concepts and their engineering interpretation are introduced in a practical fashion with examples. The motivation in essence is: the importance of the unifying associative algebra of function composition (viz. semigoup theory) for the practical characterisation of the three main functions in computers, namely sequential logic (state-machines), arithmetic and combinational (Boolean) logic..
Pindex Book Apr 2009Latest edition
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Frédéric Mallet,Grygoriy Zholtkevychnalysis of divisors of 0 mod ... For large enough .≥.. (critical precision ..<. depends on .), all nonzero pairsums of core residues are shown to be distinct, upto commutation. The known . case. is related to this, and the set ..+.. mod .. of .-th power pairsums is shown to cover half of ... This yields main result:
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Symmetric and Planar Boolean Logic Synthesis,s, without mapping to T-cells, yields better area efficiency, exploiting the maximal logic path sharing in .’s. Results obtained with a . tool . based on these concepts, are reported. Relaxing Boolean symmetric functions to .-functions covers a majority of Boolean functions, and improves synthesis, especially low-symmetry . decomposition.
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