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Question 1 [10 Points] Use the Pumping Lemma to demonstrate that the following languages are not regular. a) L1 = {w ∈ {0, 1}: 0i1j where i ≤ j} b) L2 = {w ∈ {a, b, c}: aibjck+2 where i = k and i, j, k ≥ 0} c) L3 = {w1#w2 such that |w1| = 2.|w2|, where Σ = {0, 1} } d) L4 = {w ∈ {a}*: a2n where n ≥ 0}

Name: question 1 10 points use the pumping lemma to demonstrate that the following languages are not regular a l1 w 0 1 0supisup1supjsup where i j b l2 w a b c asupisupbsupjsupcsupk2sup where i k 50955
Uploaded: 2022-02-25T15:02:19-08:00
Duration: 2 min 31 s
Channel: Krishna S
Description: question 1 10 points use the pumping lemma to demonstrate that the following languages are not regular a l1 w 0 1 0supisup1supjsup where i j b l2 w a b c asupisupbsupjsupcsupk2sup where i k 50955

          Question 1
[10 Points]
Use the Pumping Lemma to demonstrate that the following languages are not
regular.
a) L1 = {w ∈ {0, 1}*: 0<sup>i</sup>1<sup>j</sup> where i ≤ j}
b) L2 = {w ∈ {a, b, c}*: a<sup>i</sup>b<sup>j</sup>c<sup>k+2</sup> where i = k and i, j, k ≥ 0}
c) L3 = {w1#w2 such that |w1| = 2.|w2|, where Σ = {0, 1} }
d) L4 = {w ∈ {a}*: a<sup>2<sup>n</sup></sup> where n ≥ 0}

question 1 10 points use the pumping lemma to demonstrate that the following languages are not regular a l1 w 0 1 0supisup1supjsup where i j b l2 w a b c asupisupbsupjsupcsupk2sup where i k 50955

Added by Gerald R.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Krishna S

02/25/2022

Step 1

The Pumping Lemma states that for any regular language L, there exists a pumping length p such that any string $w \in L$ with $|w| \ge p$ can be written as $w = xyz$, where $|xy| \le p$, $|y| > 0$, and $xy^iz \in L$ for all $i \ge 0$. We will show that for each Show more…

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Question 1 [10 Points] Use the Pumping Lemma to demonstrate that the following languages are not regular. a) L1 = {w ∈ {0, 1}*: 0i1j where i ≤ j} b) L2 = {w ∈ {a, b, c}*: aibjck+2 where i = k and i, j, k ≥ 0} c) L3 = {w1#w2 such that |w1| = 2.|w2|, where Σ = {0, 1} } d) L4 = {w ∈ {a}*: a2n where n ≥ 0}