Please prove that a formal language with strings of the form 1^n0^n can not be generated by FA (use Pumping Lemma)

Question

Question

Answer 1

Answer #1

- 0rm0 Let L=o 1 Let p be the pumping lengh. Let -0 1 EL ith (지= 2p>P Then x can be writen as here luvlp uviwEL for allio Now

Answer 2

Similar Homework Help Questions

Please build a CFG for a formal language with strings of the form 1^n0^(n+2)

Please build a CFG for a formal language with strings of the form 1^n0^(n+2)
3. Use the pumping lemma to prove the following language is not regular . Use the...

3. Use the pumping lemma to prove the following language is not regular . Use the pumping lemma to prove the following language is not regular Where is the stringwbut with all the Os replaced by Is and all the し1 = {te E Σ.ead I te _ wu) is replaced by 0s. For example, if w = 00110 then w = 11001.
Use the pumping lemma for regular languages to carefully prove that the language { aibjck :...

Use the pumping lemma for regular languages to carefully prove that the language { aibjck : 0≤ i < j < k } is not regular.

Use the pumping lemma to show that the following language is non-regular: [a"b2n,n> 1) 1) usually...

Use the pumping lemma to show that the following language is non-regular: [a"b2n,n> 1) 1) usually we need to find a word in the language as an example, what length of the word we should use as the example? what are the three possible ways to choose substring y in the pumping lemma? if a language satisfy the pumping lemma, is this language a regular language? Why?
Prove the following language is not regular (you may use pumping lemma and the closure of...

Prove the following language is not regular (you may use pumping lemma and the closure of the class of regular languages under union, intersection, and complement.): (w | w ∈ {0,1}* is not a palindrome} Please show work/explain. Thanks.
Is the following language context free or not? (prove / disprove using pumping lemma for CFL...

Is the following language context free or not? (prove / disprove using pumping lemma for CFL ) L = {0n 1 0n | n >= 1}

5.) Is the following language context free or not? (prove / disprove using pumping lemma for...

5.) Is the following language context free or not? (prove / disprove using pumping lemma for CFL ) L = {0n 1 0n | n >= 1}
use the pumping lemma for context free languages to prove the language is not context free....

use the pumping lemma for context free languages to prove the language is not context free. B = {w#t | w is a substring of t, where wit e {a,b}*}. Hint: consider s = apbº#apba.
10 punts Use the Pumping Lemma to show that the the following language is not CF...

10 punts Use the Pumping Lemma to show that the the following language is not CF { xxn20AXE (a.b)* } Notice that this language is not the language of all strings with n characters from (a,b) on the left of the cand another n characters to the right of it. This language requires the same string to be repeated on both sides of the 'c. For example, if abbacabba and abbaabbacabbabba are both in the language using x = abbay,...

(d) Let L be any regular language. Use the Pumping Lemma to show that In >...

(d) Let L be any regular language. Use the Pumping Lemma to show that In > 1 such that for all w E L such that|> n, there is another string ve L such that lvl <n. (4 marks) (e) Let L be a regular language over {0,1}. Show how we can use the previous result to show that in order to determine whether or not L is empty, we need only test at most 2" – 1 strings. (2...