Titlebook: Recent Findings in Boolean Techniques; Selected Papers from Rolf Drechsler,Daniel Gro?e Book 2021 The Editor(s) (if applicable) and The Aut

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Axiomatizing Boolean Differentiation,tic theories of the class of the algebras of switching functions equipped with any of the ordinarily used notions of derivative. Furthermore, we see that for the case .?=?1, they also axiomatize the Fraisse limit of the finite switching functions with a derivative, and we use this fact to deduce quantifier elimination.

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ion of the best papers presented at the 14th annual Internat.This book describes recent findings in the domain of Boolean logic and Boolean algebra, covering application domains in circuit and system design, but also basic research in mathematics and theoretical computer science. Content includes in

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Construction of Binary Bent Functions by FFT-Like Permutation Algorithms,actor matrices describing steps in the Good-Thomas decomposition of the Cooley-Tukey fast Fourier transform (FFT). This observation opens a way for fast constructing different bent functions from a given bent function by using either vectors or decision diagrams as underlying data structures to perform permutations.

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Nonlinear Codes for Test Patterns Compression: The Old School Way,?=?32 and .?=?6 were solved, with the resulting expander widths . mostly equal to or better than existing solutions. For the synthesis of the expanders, both the classical minimization-decomposition and resynthesis approaches can be used. The produced circuits were larger than corresponding linear expanders.

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Book 2021t also basic research in mathematics and theoretical computer science. Content includes invited chapters and a selection of the best papers presented at the 14.th. annual International Workshop on Boolean Problems..

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Hybrid Control of Toffoli and Peres Gates,vel will have a mixture of conjunctive and disjunctive control. This will be called .. Straightforward realizations as well as efficient realizations based on a Barenco et al. type quantum model will be presented. Some aspects of scalability will be discussed.