pumping length of regular language


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PDF Pumping Lemma for Regular Languages

If L is a regular language then there is a number p (called a pumping length for L) such that any string s G L with msm > p can be split into s = xyz so 

PDF Pumping Lemmas

Lemma 1 (Pumping Lemma for Regular Languages) If L is a regular language there ex- ists a positive integer p called the pumping length of L such that for any 

  • What exactly is pumping length?

    The pumping length is any number the number of states in the smallest finite state machine for the language. (Except that we don't greater than that number of states, and we usually use the pumping Lemma to show that the language is irregular and therefore the number of states and the pumping length don't exist).7 mai 2022

  • If A is a regular language, then there is a number p where if s is any string in A of length at least p, then s may be divided into three pieces, s = xyz, satisfying the following conditions: for each i ≥ 0, xyiz ∈ A.

  • Is pumping length equal to number of states?

    If n is the number of states of the minimal automaton of L, then one can choose n for the pumping length.
    However, it may happen that the mimimal possible pumping length is strictly smaller than n.

  • The pumping lemma states that every regular language has a pumping length. The minimum pumping length of a language A, pmin, is the smallest pumping length for A. Note that this implies that every integer p ≥ pmin is also a valid pumping length for A. For example, if A = ab∗, the minimum pumping length is two.
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    Pumping Lemma (For Regular Languages)

    Pumping Lemma (For Regular Languages)


    Regular Pumping Examples

    Regular Pumping Examples


    TOC

    TOC


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