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We introduce the notion of a differentiation function of a context-free grammar which gives the number of terminal words that can be derived in a certain number of steps. A grammar is called narrow (or -narrow) iff its differentiation function is bounded by a constant (by ). We present the basic properties of differentiation functions, especially we relate them to structure function of context-free languages and narrow grammars to slender languages. We discuss the decidability of the equivalence...
We introduce the notion of a differentiation function of a
context-free grammar which gives the number of terminal words that can be
derived in a certain number of steps. A grammar is called narrow (or
-narrow) iff its differentiation function is bounded by a constant
(by ). We present the basic properties of differentiation functions,
especially we relate them to structure function of context-free languages
and narrow grammars to slender languages. We discuss the decidability of
the...
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