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.

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venereology answered 1 year ago

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

Show that the language ?={?^??^??^?:?≥0,?≥0}is not regular.

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...

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.

Determine if the language ?={?^?∶?=?^3????????≥0}over Σ={?}is regular.

Using Euclid's Propositions: 1. Prove that the regular octagon is constructible. 2. Prove that the regular...

Using Euclid's Propositions: 1. Prove that the regular octagon is constructible. 2. Prove that the regular decagon is constructible.

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?

Determine whether or not the following languages are regular. If the language is regular then give...

Determine whether or not the following languages are regular. If the language is regular then give an NFA or regular expression for the language. Otherwise, use the pumping lemma for regular languages or closure properties to prove the language is not regular. 1) L = { 0 n1 k : k ≤ n ≤ 2k} 2) L = { 0 n1 k : n > 0, k > 0 } È { 1 k0 n : k > 0, n...

Prove whether the following are regular (include the file) or not regular (attach a proof). The...

Prove whether the following are regular (include the file) or not regular (attach a proof). The alphabet is {0, 1}. 1. The set of strings that start with N 0's which are directly followed by 2N 1's. 2. The set of strings start with two 0's, followed by N 1's, followed by N 1's and end with three 0's. 3. The set of strings where every substring of length 5 has more 0's than 1's. Strings less than length five...

2. Prove that |[0, 1]| = |(0, 1)|

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