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Questions about normal forms in various contexts, for example normal forms of context-free grammars (Chomsky normal form, Greibach normal form), of formulas (conjunctive normal form, disjunctive normal form), and others.

3 votes

Why do grammars in Chomsky Normal Form have derivations of length 2n-1?

And each of the $A \to B C$ produtions make the sentential form one longer. You start with length $1$, to reach $n$ means $n - 1$ steps. If a string has length $n$, there will be $n$ steps to get the …
vonbrand's user avatar
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2 votes
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Chomsky form for language of single alphabet member

The grammar is similar to what you say: $$ S \rightarrow S S \mid a $$ This can't generate $\epsilon$, which any true CFG can't.
vonbrand's user avatar
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