Automata Question (3) Show that the family of deterministic context-free languages is not closed under union...
Show that the family of context-free languages is closed under reversal.
What is the relation of context-free grammars and a Deterministic Pushdown Automata? Can a Deterministic Pushdown Automata recognize a regular language?
4. (Closure) Show that the class of context-free languages is closed under the star operation.
Explain the answer QUESTION 8 The classes of languages P and NP are closed under certain operations, and not closed under others, just like classes such as the regular languages or context-free languages have closure properties. Decide whether P and NP are closed under each of the following operations. 1. Union. 2. Intersection. 3. Intersection with a regular language. 4. Concatenation 5. Kleene closure (star). 6. Homomorphism. 7. Inverse homomorphism. Then, select from the list below the true statement. OP...
7. (1 point) The collection of recognizable languages is closed under: A. union. B. concatenation. C. star. D. intersection. E. All of the above. Page 3 of 8 8. (1 point) L is decided by a deterministic) TM containing 100 tapes in time t(n) where n denotes the length of an input string. Which one of the following represents the time complexity of an equivalent single tape (deterministic) TM which decides L? A. Oft(n) 100). B. Oſt(n)). C. O(t(n)99). D....
1. Show that the following languages are context-free. You can do this by writing a context free grammar or a PDA, or you can use the closure theorems for context-free languages. For example, you could show that L is the union of two simpler context-free languages. (b) L {0, 1}* - {0"1" :n z 0}
Q1: Which of the following claims are true?* 1 point The recognizable languages are closed under union and intersection The decidable lanquages are closed under union and intersection The class of undecidable languages contains the class of recognizable anguages For every language A, at least one of A or A*c is recognizable Other: This is a required question Q2: Which of the following languages are recognizable? (Select all that apply) 1 point EDFA-{ «A> 1 A is a DFA and...
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...
1. Show that the following languages are context-free. You can do this by writing a context free grammar or a PDA, or you can use the closure theorems for context-free languages. For example, you could show that L is the union of two simpler context-free languages. (d) L = {0, 1}* - L1, where L1 is the language {1010010001…10n-110n1 : n n ≥ 1}.
(a) Show that P is closed under union and intersection. That is, show that for all A, B E P AUB,AnBEP (b) Show that NP is closed under union and intersection.