Sufficient Conditions for the Local Repetition-Freeness of Minimal π-Schemes Realizing Linear Boolean Functions

K. L. Rychkov

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Sufficient Conditions for the Local Repetition-Freeness of Minimal π-Schemes Realizing Linear Boolean Functions

机译：实现线性布尔函数的最小π方案的局部无重复性的充分条件

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摘要

We formulate some sufficient conditions for the local repetition-freeness of the minimal π-schemes realizing linear Boolean functions. The fulfillment of these conditions leads to description of the classes of minimal π-schemes that realize the linear Boolean functions depending essentially on n variables.

机译：我们为实现线性布尔函数的最小π方案的局部无重复性规定了一些充分条件。这些条件的满足导致描述了本质上取决于n个变量的实现线性布尔函数的最小π方案的类别。

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《Journal of applied and industrial mathematics》 |2015年第4期|共8页
作者
K. L. Rychkov;
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正文语种 eng
中图分类应用数学;
关键词
formula complexity; π-scheme; lower bound on the complexity;

机译：公式复杂度;π方案;复杂度的下界;

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专利

1. Sufficient Conditions for the Local Repetition-Freeness of Minimal π-Schemes Realizing Linear Boolean Functions [J] . K. L. Rychkov Journal of applied and industrial mathematics . 2015,第4期

机译：实现线性布尔函数的最小π方案的局部无重复性的充分条件
2. A sufficient and necessary condition of judging the independence of Boolean functions system [J] . Chinese science bulletin . 1995,第16期

机译：判断布尔函数系统的独立性的充要条件
3. Asymptotically Minimal Schemes for One Sequence of Boolean Functions [J] . T. I. Krasnova Moscow University Computational Mathematics and Cybernetics . 2009,第3期

机译：一个布尔函数序列的渐近最小格式
4. Sufficient condition for minimal realization of incrementally stable nonlinear systems based on differential energy functions [C] . Yu Kawano, Jacquelien M. A. Scherpen IEEE Conference on Decision and Control . 2015

机译：基于微分能量函数的渐进稳定非线性系统的最小实现的充分条件
5. A local extrapolation method for hyperbolic conservation laws: The Eno and Goodman-Leveque underlying schemes and sufficient conditions for TVD property [D] . Adongo, Donald Omedo 2008

机译：双曲守恒律的局部外推方法：Eno和Goodman-Leveque基本方案以及TVD属性的充分条件
6. On Various Nonlinearity Measures for Boolean Functions [O] . Joan Boyar, Magnus Gausdal Find, René Peralta -1

机译：关于布尔函数的各种非线性测度
7. Sufficient Conditions for Minimality of a Nonlinear Realization via Controllability and Observability Functions [O] . Scherpen Jacquelien M.A., Gray W. Steven 1998

机译：通过可控性和可观测性函数实现非线性最小化的充分条件

Sufficient Conditions for the Local Repetition-Freeness of Minimal π-Schemes Realizing Linear Boolean Functions

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