Let L1 be language((aa + ab + ba + bb) ∗ ) and let L2 be language((a + b) ∗aa(a + b) ∗ ). Find a regular expression and an FA that each define L1∩L2.
The regular expression for L1 ∩ L2 is given as:
(aa + ab + ba + bb)*aa(aa + ab + ba + bb)*
The NFA is given as:
Question 4. Let L1 be the language denoted by ab∗ a ∗ and let L2 be the language denoted by a ∗ b ∗ a Write a regular expression that denotes the language L1 ∩ L2.
Define nor operation for the language as follows. nor(L1, L2) = {w : w E L1 or w E L2} Show that the family of regular languages is closed under the nor operation.
Define nor operation for the language as follows. nor(L1, L2) = {w : w E L1 or w E L2} Show that the family of regular languages is closed under the nor operation.
Prove that If L1 is linear and L2 is regular, L1×L2 is a linear Language.
If L1 and L2 are Regular Languages, then L1 ∪ L2 is a CFL. Group of answer choices True False Flag this Question Question 61 pts If L1 and L2 are CFLs, then L1 ∩ L2 and L1 ∪ L2 are CFLs. Group of answer choices True False Flag this Question Question 71 pts The regular expression ((ac*)a*)* = ((aa*)c*)*. Group of answer choices True False Flag this Question Question 81 pts Some context free languages are regular. Group of answer choices True...
-Find a left-linear grammar for the language L((aaab*ba)*). -Find a regular grammar that generates the language L(aa* (ab + a)*).-Construct an NFA that accepts the language generated by the grammar.S → abS|A,A → baB,B → aA|bb
QUESTION 8 For the following equation, solve for the language L. {a, aa, ab} L = {ab,aab,abb, aa aaa, aba} O L = {bb,aa,a} O L = {b,a} O L = {b,aa} L = {4,b,a} QUESTION 9 Consider the regular expression (a+ab)*(b+ab)* Which of the followings
please answer 17c and 17d.
17. Show that the following Post correspondence systems have no solutions. a) [b, ba], [aa, b], [bab, aa], [ab, ba] b) [ab, a]. [ba, bab], [b, aa], [ba, ab] c)lab, aba] lbaa, aa]. [aba. baal (dy [ab, bb], [aa, ba]. [ab, abb]. [bb, bab] e) [abb, ab], [aba, ba], [aab, abab]
17. Show that the following Post correspondence systems have no solutions. a) [b, ba], [aa, b], [bab, aa], [ab, ba] b) [ab, a]. [ba,...
• Build an FA that accepts the language of all words with only a’s or only b’s in them. For example, a, aa, aaa, b, bb, bbb, etc are in the language, while null string, ab, ba, aab, aba, bab, bba, baa, etc are not in the language. • Give a regular expression for this language.
Question 3. Write down a regular expression that denotes the following language. L = {a mb n : m + n is even} Question 4. Let L1 be the language denoted by ab∗ a ∗ and let L2 be the language denoted by a ∗ b ∗ a Write a regular expression that denotes the language L1 ∩ L2.
For L1 = {a, bb,c} and L2 = {ac,ca}, calculate L1L2 , L1 ∪L2, and L13.