| | |
Summary: Theory of Computation
Lecture 9: Non-context-free Languages
Max Alekseyev
University of South Carolina
February 9, 2012
Pumping Lemma
Lemma
If A is a regular language, then there exists an integer p (called the
pumping length) such that for any string s A with |s| p, the
string s can be divides into three pieces: s = xyz, satisfying the
following conditions:
1. for each i 0, xyi z A;
2. |y| > 0; and
3. |xy| p.
Pumping Lemma
Lemma
If A is a regular language, then there exists an integer p (called the
pumping length) such that for any string s A with |s| p, the
string s can be divides into three pieces: s = xyz, satisfying the
following conditions:
|