是一个*相同(一个*)*? [英] is a* the same as (a*)*?

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问题描述

快速的问题, 如果 A 是一个普通的EX pression那么这是真的 A * =(A *)*

Quick question, if a is a regular expression then is it true that a* = (a*)* ?

(A *)* 有效EX pression?如果是的话,任何人都可以解释为什么是一样的 A * ?我的要求在这里表示歉意,但我找不到通过谷歌任何东西。

Is (a*)* a valid expression? If it is, then can anyone explain why is it the same as a*? I apologize for asking here, but I couldn't find anything via Google.

推荐答案

A * =(A *)* 相同。两者产生相同的语言,它是字符串的数字A的包括空。

Yes, a*=(a*)* are same. Both generate same language that is string any numbers a's including null.

L(A *)= {^,A,AA,AA ......} = L((A *)*)

(A *)* 有效EX pression?

Is (a*)* a valid expression?

是的,这当然pression叫做常规EX preSSION (我看见你错过了标记)。任何正规语言(RL)可以重新通过普通防爆pression(RE)psented $ P $。再present RL一个按字母顺序排列的方式。

Yes, this expression is called REGULAR-EXPRESSION (I saw you missed the tag). Any Regular Language(RL) can be represented by Regular Expression(RE). A alphabetical way of represent RL.

为什么是一样的吗?

* 表示重复的时间(包括 0 次)任何数字。

* means repetition any numbers of time (including 0 times).

A * 表示0,1,2或任意数量的。

a* means 0 a, 1 a, 2 a or any number of a.

(一个*)*表示重复对所有字符串 A * 为任何数目的时间(包括0次)来设置。

(a*)* means repetition for all string in a* set for any number of time (including 0 times).

由于 L(A *)用于所有的字符串由使用。它的晚饭设定每个组由一个的字符串。和 L((A *)*)是一样的。

Because L(a*) means all string consists using a. its supper-set of every set consists of strings of a's. and L((a*)*) is same.

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