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Pumping lemmas for linear and nonlinear context-free languages

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arxiv 1012.0023 v1 pith:4V6JBGVP submitted 2010-11-30 cs.FL

Pumping lemmas for linear and nonlinear context-free languages

classification cs.FL
keywords languagescontext-freelemmaspumpingclasseslanguagelinearprove
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Pumping lemmas are created to prove that given languages are not belong to certain language classes. There are several known pumping lemmas for the whole class and some special classes of the context-free languages. In this paper we prove new, interesting pumping lemmas for special linear and context-free language classes. Some of them can be used to pump regular languages in two place simultaneously. Other lemma can be used to pump context-free languages in arbitrary many places.

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Cited by 1 Pith paper

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  1. On the Complexity of Language Membership for Probabilistic Words

    cs.FL 2025-10 conditional novelty 7.0

    Probabilistic membership for context-free languages is in PTIME for unambiguous and poly-slicewise-unambiguous languages, #P-hard for some unions of two linear unambiguous CFLs, and tractable via complement-capable ci...