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useless rules : ウィキペディア英語版
useless rules

In theoretical computer science, in particular in the theory of formal languages, useless rules of a formal grammar are those rules of symbol production that are unreachable or unproductive, that is, that can or need never be applied.
==Definition==
Given a context-free grammar, a nonterminal symbol ''X'' is called productive, or generating, if there is a derivation ''X''
*
''w'' for some string ''w'' of terminal symbols. A nonterminal symbol ''X'' is called reachable if there is a derivation ''S'' ⇒
*
α''X''β for some strings α, β of non-terminal and terminal symbols, and where ''S'' denotes the grammar's start symbol.
A rule with an unproductive or unreachable symbol on its left-hand side can be deleted from the grammar without changing the accepted (a.k.a. generated) language.
Likewise, an alternative containing such a symbol can be deleted from the right-hand side of a rule without changing the language.
Such rules and alternatives are called useless.〔; here: Sect.7.1.1, p.256〕
For formal grammars that are not context-free, similar definitions apply.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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