Is the following language a regular language? ( Prove with pumping Lenma ) L = {...

Is the following language a regular language? ( Prove with pumping Lenma )

L = { o^n 1^n 2^n | n => 0}

Define CFL pumping lemma

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venereology answered 1 month ago

1. Pumping Lemma: a. Is the following language a regular language? (Use pumping lemma in proof.)...

1. Pumping Lemma: a. Is the following language a regular language? (Use pumping lemma in proof.) L = {0n 1n 2n | n ≥ 0} b. What is (i.e., define) the CFL pumping lemma?

1. Prove the language L is not regular, over the alphabet Σ = {a, b}. L...

1. Prove the language L is not regular, over the alphabet Σ = {a, b}. L = { aib2i : i > 0} 2) Prove the language M is not regular, over the alphabet Σ = {a, b}. M = { wwR : w is an element of Σ* i.e. w is any string, and wR means the string w written in reverse}. In other words, language M is even-length palindromes.

(35 pt.) Prove that the following languages are not regular using the pumping lemma. (15pt.)?={?????? |?,?≥?}...

(35 pt.) Prove that the following languages are not regular using the pumping lemma. (15pt.)?={?????? |?,?≥?} (20 pt.) ? = {? ∈ {?, #}∗ | ? = ??#??# ... #?? ??? ? ≥ ?, ?? ∈ ?∗ ??? ????? ?, ??? ?? ≠?? ???????? ?≠?} Hint: choose a string ? ∈ ? that contains ? #’s.

Do not use Pumping Lemma for Regular Expression to prove the following. You may think of...

Do not use Pumping Lemma for Regular Expression to prove the following. You may think of Closure Properties of Regular Languages 1. Fix an alphabet. For any string w with |w| ≥ 2, let middle(w) be the string obtained by removing the first and last symbols of w. That is, Given L, a regular language on Σ, prove that f1(L) is regular, where f1(L) = {w : middle(w) ∈ L}

Prove that {anbamba2m+n:n,m≥1} is not regular using pumping lemma

Question 4 Prove that the following language is not regular. ? = { 0 ?1 ?...

Question 4 Prove that the following language is not regular. ? = { 0 ?1 ? | ?, ? ≥ 0, ? ≠ 2? + 1 } Question 5 Prove that the following language is not regular. ? = { ? ∈ { 0, 1, 2} ∗ | #0 (?) + #1 (?) = #2 (?) } where #? (?) denotes the number of occurrences of symbol a in string w.

Using the pumping lemma, prove that the language {1^n | n is a prime number} is...

Using the pumping lemma, prove that the language {1^n | n is a prime number} is not regular.

Question II: Consider the language L below. If L is a regular language, construct the corresponding...

Question II: Consider the language L below. If L is a regular language, construct the corresponding DFA. If not, prove that L is not a regular language. L= {0n10n | n ≥1} Consider the language M consisting of those strings of 0’s and 1’s that have an equal number of 0’s and 1’s (not in any particular order). Suppose we know M is not a regular language. Consider the language N consisting of those strings of 0’s and 1’s that...

Prove that {0n1n2n:n≥1} is not a regular language. The decimal notation for a number is the...

Prove that {0n1n2n:n≥1} is not a regular language. The decimal notation for a number is the number written in the usual way, as a string over the alphabet {0,1,⋯9}. For example, the decimal notation for 13 is a string of length 2. In unary notation, only the symbol “I” is used; thus 5 would be represented as IIIII in unary notation. Show that each of the following is or is not a regular language. (For regular languages, write down its...

let sigma = {a,b,c}. Use the Pumping Lemma to show that the language L defined below...

let sigma = {a,b,c}. Use the Pumping Lemma to show that the language L defined below is not regular. L={ a^p c(bb)^q : q > p >1}

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