In formal language theory, a context-free grammar is in Greibach normal form GNF if the right-hand sides of all production rules start with a terminal symbol , optionally followed by some variables. The normal form was established by Sheila Greibach and it bears her name. More precisely, a context-free grammar is in Greibach normal form, if all production rules are of the form:. Observe that the grammar does not have left recursions. Every context-free grammar can be transformed into an equivalent grammar in Greibach normal form. Some do not permit the second form of rule and cannot transform context-free grammars that can generate the empty word.
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Greibach normal form
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