Mildly Context-sensitive Language - Definition

Definition

Mild context-sensitivity is defined in terms of sets of languages. A set of languages is mildly context-sensitive if and only if

  1. it contains all context-free languages,
  2. it admits limited cross-serial dependencies,
  3. all the languages are parsable in polynomial time, and
  4. all the languages have constant growth; this means that the distribution of string lengths should be linear rather than supralinear. This is often guaranteed by proving a pumping lemma for some class of mildly context-sensitive languages.

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