Use pumping lemma to show that whether L ={ aib3i | i≥1000 and i≤4000} is non-regular or regular. Show your steps against each of the pumping lemma claims.
Find the solution to the above question below, do read
all the steps provided carefully and in case of any comments do
comment below. If found helpful please upvote this.
Use pumping lemma to show that whether L ={ aib3i | i≥1000 and i≤4000} is non-regular...
Show that there exists a non-regular language that satisfies the pumping lemma. In particular, you can consider the following language. nan . You need to show that (1) L is not regular, and (2) L satisfies the pumping lemma. Show that there exists a non-regular language that satisfies the pumping lemma. In particular, you can consider the following language. nan . You need to show that (1) L is not regular, and (2) L satisfies the pumping lemma.
Use the pumping lemma to show that the following language is not regular: L = {bi ajbi : i, j ≥ 1}
Use the pumping lemma to show that each of the following languages is not regular. L = {0i 1j 0k |k > i + j} Not entierly sure what to do when there are 3 variables.
Can someone use pumping Lemma to show if these are regular languages or not c) Is L regular? give a finite automaton or prove using pumping lemma. (d) Is L context-free? give a context-free grammar or pushdown automaton, otherwise pr using pumping lemma. (16 pts)Given the set PRIMES (aP | p is prime (a) Prove that PRIMES is not regular. (b) Prove that PRIMES is not context-free. (c) Show if complement of PRIMES (PRIMES ) is regular or not. d)...
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?
In the class, we have shown that L {a"bn·n > 0} is not regular. Use the pumping lemma to show that Ls -[a"b*c: n 2 0, k 2 n] is not regular. Can you prove by a simpler way using homomorphism? nhn. In the class, we have shown that L {a"bn·n > 0} is not regular. Use the pumping lemma to show that Ls -[a"b*c: n 2 0, k 2 n] is not regular. Can you prove by a simpler...
(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...
6.[15 points] Recall the pumping lemma for regular languages: Theorem: For every regular language L, there exists a pumping length p such that, if s€Lwith s 2 p, then we can write s xyz with (i) xy'z E L for each i 2 0, (ii) ly > 0, and (iii) kyl Sp. Prove that A ={a3"b"c?" | n 2 0 } is not a regular language. S= 6.[15 points] Recall the pumping lemma for regular languages: Theorem: For every regular...
Use the Pumping Lemma to show that the following languages are not regular. (a){apaq | for all integers p and q where q is a prime number and p is not prime}. (b) {ai bj || i − j | = 3} (c) {ai bj ck | i = j or j 6= k} (d) {aibj | i/j is an integer}
show that language L4 = { wabw : w ∈ {a,b}* } is not regular, use pumping lemma