In the theory of formal languages, the pumping lemma may refer to:
Pumping lemma for regular languages, the fact that all sufficiently long strings in such a language have a substring that can be repeated arbitrarily many times, usually used to prove that certain languages are not regular
Pumping lemma for context-free languages, the fact that all sufficiently long strings in such a language have a pair of substrings that can be repeated arbitrarily many times, usually used to prove that certain languages are not context-free
context-free Pumpinglemma for indexed languages Pumpinglemma for regular tree languages Ogden's lemma, a stronger version of the pumpinglemma for context-free...
repeating y {\displaystyle y} zero or more times is known as "pumping". Moreover, the pumpinglemma guarantees that the length of x y {\displaystyle xy} will...
language L can be vertically tripartited such that arbitrary repetition ("pumping") of the middle part keeps the resulting term in L. For the language of...
Look up pumping in Wiktionary, the free dictionary. Pumping may refer to: The operation of a pump, for moving a liquid from one location to another The...
S → aSb S → ab The language is context-free but not regular (by the pumpinglemma for regular languages). Type-1 grammars generate context-sensitive languages...
proof Generating a vector space Linear independence Polynomial Proof Pumpinglemma Simpson's rule Accumulation point Addition in N associativity of addition...
Perles–Sauer–Shelah lemma, a result in extremal set theory whose proof was credited to Perles by Saharon Shelah. The pumpinglemma for context-free languages...
United Kingdom Government Actuary's Department Ogden's lemma, a generalization of the pumpinglemma for context-free languages Justice Ogden (disambiguation)...
Backus–Naur form CYK algorithm Greibach normal form Kuroda normal form Pumpinglemma for context-free languages — its proof relies on the Chomsky normal...
ignored by F’s control makes it a counter automaton accepting L. by the pumpinglemma for regular languages John E. Hopcroft and Jeffrey D. Ullman (1979)...
languages, the interchange lemma states a necessary condition for a language to be context-free, just like the pumpinglemma for context-free languages...
language is not regular, one often uses the Myhill–Nerode theorem and the pumpinglemma. Other approaches include using the closure properties of regular languages...
language of squares is not regular, nor is it context-free, due to the pumpinglemma. However, pattern matching with an unbounded number of backreferences...
to full professor in 1972. Shamir was one of the discoverers of the pumpinglemma for context-free languages. He did research in partial differential...
intersection is not only not linear, but also not context-free. See pumpinglemma for context-free languages. As a corollary, linear languages are not...
that of k-reversible languages. Chomsky and Miller (1957) used the pumpinglemma: they guess a part v of an input string uvw and try to build a corresponding...
{1}{M}}<e.} Variants occur in a number of proofs. In the proof of the pumpinglemma for regular languages, a version that mixes finite and infinite sets...
grammar Proof on deterministic finite automaton to regular expression pumpinglemma for regular languages Topics on context-free language include: pushdown...