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.
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