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格值有限自动机的乘积 被引量:10

Products of lattice-valued finite automata
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摘要 初步建立了格值有限自动机的乘积理论.引入了格值变换半群,研究了格值有限自动机在各种乘积情形下的转移函数性质,讨论了各种乘积之间的覆盖关系,为进一步研究量子自动机的乘积理论奠定基础. In this paper, the product theory of lattice-valued finite automata is established. The concept of lattice-valued transformation semigroups is introduced. Properties of transition function and mutual cover-relationship of products are discussed. It is an important step to study the product theory of quantum automata.
作者 刘军 莫智文
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2009年第1期121-126,共6页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 国家自然科学基金(10671030) 四川省青年科技基金(07ZQ026114)
关键词 格值有限自动机 直积 级联积 圈积 lattice-valued automata direct product cascade product wreath product
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参考文献10

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二级参考文献18

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