形式语言的拓扑熵探讨
Exploring the Topological Entropy of Formal Languages
摘要:
我们引入了形式语言和拓扑自动机的拓扑熵的概念。我们证明了熵函数是满射的,并且限制了具有任意数量堆栈的确定性ε-free下推自动机所接受的语言的熵。
英文摘要:
We introduce the notions of topological entropy of a formal language and of a topological automaton. We show that the entropy function is surjective and bound the entropy of languages accepted by deterministic ε-free push-down automata with an arbitrary amount of stacks.
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