contextfree grammar
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Noun[edit]
contextfree grammar (plural contextfree grammars)
 (computing theory) A formal grammar in which every production rule is such that the lefthand side is exactly one nonterminal symbol and the righthand side is zero or more terminal symbols and/or nonterminal symbols. Abbreviation: CFG.
 2006, Patrick Blackburn, Johan Bos, Kristina Striegnitz, Learn Prolog Now!, §7.1
 It remains to explain one final concept, namely what a context free language is. (Don’t get confused: we’ve told you what a context free grammar is, but not what a context free language is.) Quite simply, a context free language is a language that can be generated by a context free grammar. Some languages are context free, and some are not. For example, it seems plausible that English is a context free language. That is, it is probably possible to write a context free grammar that generates all (and only) the sentences that native speakers find acceptable. On the other hand, some dialects of SwissGerman are not context free. It can be proved mathematically that no context free grammar can generate all (and only) the sentences that native speakers of SwissGerman find acceptable.^{1} So if you wanted to write a grammar for such dialects, you would have to employ additional grammatical mechanisms, not merely context free rules.
 2006, Patrick Blackburn, Johan Bos, Kristina Striegnitz, Learn Prolog Now!, §7.1
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formal grammar

