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中文摘要：
初步建立了具有某种分配律的扩展格序效应代数和格序QMV代数这两种unsharp量子结构上的自动机与文法理论的基本框架。引入了ε-值正则文法的概念，证明了任意ε-值自动机识别的语言等价于某种ε-值正则文法所生成的语言；反之，任意ε-值正则文法所生成的语言等价于某种ε-值自动机识别的语言。讨论了ε-值正则语言在和、连接及反转运算下的封闭性质。
英文摘要：
A fundamental framework of automata and grammar theory based on the two unsharp quantum struc- tures, extended lattice ordered effect algebra and lattice ordered QMV algebra with a certain kind of distributive law, is preliminarily established in this paper. The concept of ε -valued regular grammar is introduced. It is showed that any ε -valued language recognized by ε -valued automaton is equivalent to that generated by some ε-valued regular grammar, the ε-valued language generated by anyε -valued regular grammar is also equivalent to that recognized by some ε-valued automaton. The closure properties of ε -valued language under the operations of sum, concatena- tion and reversal are respectively discussed.
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