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2. If L1 and L2 are regular languages, which of the following are regular languages? Provide...
a.) Exhibit an algorithm that, given any three regular languages, L,L1,L2, determines whether or not L = L1L2. b.) Describe an algorithm by which one can decide whether two regular expressions are equivalent.
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.
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...
For each of the following statements, where L1, L2, and L are languages over some alphabet Σ, state whether it is true or false. Prove your answer. • ∀L,(∅ or L+) = L∗ • ∀L1,L2,(L1 or L2)∗ = (L2 or L1)∗
-. If L and L2 are regular languages, show the the language BothOr Neither is also regular. Both Or Neither is the language that contains strings that are in both L1 and L, or in neither L or L2.
Which of the following languages are regular. Prove (by providing a regular expression) or disprove. a. L1 = {ai bj ck dl | (i + j)mod 2 = (k + l)mod 2 , i, j, k, l ≥ 0} b. L2 = {ai bj ck dl | (i + j) = (k + l), i, j, k, l ≥ 0}
The languages L1 = {anbm | m = n or m = 2n } and L2 = {a n b m | n <= m <= 2n } are context free. a. Choose one of the languages and write a CFG for it. b. Write the PDA that comes from your grammar (part a). Show the first 4 moves it would make on some string in your language (of length at least 4). Be sure to show state, input, and...
Given sigma={a, b} And languages L1, L2 contain in sigma^* I need to prove/disprove the following claim:
3. Show that the family of regular languages is closed under the given operations below The nor of two languages by nor(L, L2) = {w: w E L1 and w E L2} The cor (complementary) of two languages by cor(Li, L2) = {w: w E L1 or w E L2} a. b. 3. Show that the family of regular languages is closed under the given operations below The nor of two languages by nor(L, L2) = {w: w E L1...
Suppose L1, L2, and L3 are languages and T1, T2, and T3 are Turing machines such that L(T1) = L1, L(T2) = L2, L(T3) = L3, knowing that T3 is recursive (always halts, either halts and accepts or halts and rejects) and both T1 and T2 are recursive enumerable so they may get stuck in an infinite loop for words they don't accept.. For each of the following languages, describe the Turing machine that would accept it, and state whether...