Let L1 = L(a∗baa∗) and L2 = L(aba∗). Find L1/L2.
Let L1 = L(a∗baa∗) and L2 = L(aba∗). Find L1/L2.
This is a Formal Languages and Automata question.
Homework Answers
L1 /L2 finite automata is nothing but L1 automata but there is s change in the final states .
from L1 automata , starting from the first state , consider the total automata .If this automata accepts any string of L2 then make first state of L1 as final state otherwise non final .
now starting from the second state , consider the total automata .If it accepts any string of L2 them make that state as the final state otherwise non final .
Repeat this process for every state to decide whether the state is final or non final .
Let L1 = {ω|ω begins with a 1 and ends with a 0}, L2 = {ω|ω...
Let L1 = {ω|ω begins with a 1 and ends with a 0}, L2 = {ω|ω has
length at least 3 and its third symbol is a 0}, and L3 = {ω| every
odd position of ω is a 1} where L1, L2, and L3 are all languages
over the alphabet {0, 1}. Draw finite automata (may be NFA) for L1,
L2, and L3 and for each of the following (note: L means complement
of L):
Let L w begins...
Automata, Languages and Computation Using the languages L1 = { (10)* 1(1+0) + (10)*} and L2...
Automata, Languages and Computation
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Using the languages L1 = { (10)* 1(1+0) + (10)*} and L2 = { a(a*) }, construct an ei NFA that accepts the concatenation of the languages L1L2.
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Question 4. Let L1 be the language denoted by ab∗ a ∗ and let L2 be...
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 ...
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.
a.) Exhibit an algorithm that, given any three regular languages, L,L1,L2, determines whether or not L...
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Question 3 (13] (a) Write a procedure filter (L,PredName, L1,L2) that accepts a list L and...
Question 3 (13] (a) Write a procedure filter (L,PredName, L1,L2) that accepts a list L and returns two lists Li and L2, where Li contains all elements in L for which PredName (x) fails, and L2 contains all elements in L for which PredName (x) succeeds. The predicate PredName/1 should be defined when calling the procedure filter. For example: let test be defined as test(N).- N > 0. 7- filter((-6,7,-1,0),test,L1,L2). L1 - (-6.-1) L2 - [7, 0] NB Use the...
Let L1 = {ω|ω begins with a 1 and ends with a 0}, L2 = {ω|ω has
length at least 3 and its third symbol is a 0}, and L3 = {ω| every
odd position of ω is a 1} where L1, L2, and L3 are all languages
over the alphabet {0, 1}. Draw finite automata (may be NFA) for L1,
L2, and L3 and for each of the following (note: L means complement
of L):
Let L w begins...
Automata, Languages and Computation
Using the languages L1 = { (10)* 1(1+0) + (10)*} and L2 = { a(a*) }, construct an ei NFA that accepts the concatenation of the languages L1L2.
Using the languages L1 = { (10)* 1(1+0) + (10)*} and L2 = { a(a*) }, construct an ei NFA that accepts the concatenation of the languages L1L2.
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.
2. If L1 and L2 are regular languages, which of the following are regular languages? Provide justification for your answers. a. L1 U L2 b. L1L2 c. L1 n L2
Question 3 (13] (a) Write a procedure filter (L,PredName, L1,L2) that accepts a list L and returns two lists Li and L2, where Li contains all elements in L for which PredName (x) fails, and L2 contains all elements in L for which PredName (x) succeeds. The predicate PredName/1 should be defined when calling the procedure filter. For example: let test be defined as test(N).- N > 0. 7- filter((-6,7,-1,0),test,L1,L2). L1 - (-6.-1) L2 - [7, 0] NB Use the...
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