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Commit 06079ec

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Update README.md
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‎02_语法分析/README.md

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~&emsp; 根据LL(1) 文法的定义来判断,分三步走:
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~&emsp;~&emsp;1文法不含左递归
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&emsp;&emsp;1文法不含左递归
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~&emsp;~&emsp;2对文法中的任一个非终结符A的各个产生式的侯选首终结符集两两不相交,即:若A->α1|α2|...|αn ,则 First(αi)∩ First(αj) = φ ( i ≠ j )
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&emsp;&emsp;2对文法中的任一个非终结符A的各个产生式的侯选首终结符集两两不相交,即:若A->α1|α2|...|αn ,则 First(αi)∩ First(αj) = φ ( i ≠ j )
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~&emsp;~&emsp;3对文法中的每个非终结符A,若它的某个首终结符集含有ε ,则First(A)∩Follow(A) = φ
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&emsp;&emsp;3对文法中的每个非终结符A,若它的某个首终结符集含有ε ,则First(A)∩Follow(A) = φ
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~&emsp; 如:判断下述文法是否是LL(1)文法:S -> aAS|bA -> bA|ε
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~&emsp;~&emsp;1该文法不含左递归
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&emsp;&emsp;1该文法不含左递归
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~&emsp;~&emsp;2First(S ->aAS)={a} First(S ->b)={b} First(A ->bA)={b} First(A ->ε)={ε} S和A的侯选式的first集都不相交,满足条件2
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&emsp;&emsp;2First(S ->aAS)={a} First(S ->b)={b} First(A ->bA)={b} First(A ->ε)={ε} S和A的侯选式的first集都不相交,满足条件2
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~&emsp;~&emsp;3由于ε∈First(A ->ε) Follow(A)=First(S)={a,b} Follow(A) ∩ First(A->bA) ) ≠ φ不满足条件3,则不是LL(1)文法
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&emsp;&emsp;3由于ε∈First(A ->ε) Follow(A)=First(S)={a,b} Follow(A) ∩ First(A->bA) ) ≠ φ不满足条件3,则不是LL(1)文法
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* LR(k)文法:没有严格的定义,一个文法只要能构造出语法分析表,适用移入—规约语法分析器解析,它就是LR文法。
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~&emsp; 自底向上语法分析算法是从语法分析树的叶子节点开始,逐渐向上到达根节点,反向构造出一个最右推导序列,从而构建完整的语法分析树,适用于LR(k)文法。

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