Closure under Context-Free Languages Show that the following operations are closed under context-free languages: union concatentation...

Closure under Context-Free Languages

Show that the following operations are closed under context-free languages:

union
concatentation
Kleene star

Solutions

Expert Solution

Figure shows the proof of properties of context free language.

venereology answered 6 months ago

Next > < Previous

Related Solutions

Prove the following Closure Properties with respect to Context Free Languages. 1. Show that Context Free...

Prove the following Closure Properties with respect to Context Free Languages. 1. Show that Context Free Languages are Closed under union(∪), concatenation(·), kleene star(*). (Hint: If L1 and L2 are Context Free languages then write Context Free grammar equivalent to L1 ∪ L2, L1 · L2, L∗ 1 ) 2. Show that if L1 and L2 are Context Free Languages, then L1 ∩ L2 is not necessarily Context Free. (Hint: Use Proof by Counter Example)

(a) How Context Free languages are different from Regular languages. (b) What are the automata accepting...

(a) How Context Free languages are different from Regular languages. (b) What are the automata accepting those languages and how they are different from DFA and NFA. (c) How the grammar of Context Free Languages looks different from those in Regular languages.

Prove that all regular languages are context free. Note: Proof must proceed by structural induction on...

Prove that all regular languages are context free. Note: Proof must proceed by structural induction on regular expressions Please prove by Structural Induction. Will Upvote for correct answer. Thanks

Give context free grammars for the languages below. To avoid mistakes, I recommend using scratch paper...

Give context free grammars for the languages below. To avoid mistakes, I recommend using scratch paper to check that your grammars produce the right set of string. This question is structured so that nonterminals (and associated rules) from an earlier subquestion might be useful in a grammar for a later sub-question. That’s why, rather than “S” as the start symbol, we will used different start symbols for each part. If you do use a nonterminal from an earlier sub-question, say...

Show that L2 = {anb2nan : n ≥ 0} is not context-free using the pumping lemma.

You are given the following information for a closed economy in a general equilibirum context. Cd...

You are given the following information for a closed economy in a general equilibirum context. Cd = 5000 + 0.8Y - 80,000r , Id = 1000 - 45,000r. Md/P = 0.9Y - 4000i , π e = 0.05, G = 450, Y-bar= 1000, and M = 3000. a) Calculate the general equilibrium values of the real interest rate and the price level. b) Explain what general equilibrium means in the IS-LM framework and how it is attained. c) What kind of...

Use the pumping lemma to show that the following languages are not regular. A a. A1={0^n...

Use the pumping lemma to show that the following languages are not regular. A a. A1={0^n 1^n 2^n | n≥0} b. A2 = {www | w ∈ {a,b}∗} A c. A3 ={a^2^n | n≥0} (Here, a^2^n means a string of 2^n a’s.) A ={a3n |n > 0 }

Use the pumping lemma to show that the following languages are not regular (c) (5 pts)...

Use the pumping lemma to show that the following languages are not regular (c) (5 pts) Let Σ = {0, 1, −, =} and SUB = {x = y − z | x, y, z are binary integers, and x is the result of the subtraction of z from y}. For example: 1 = 1 − 0, 10 = 11 − 01 are strings in SUB but not 1 = 1 − 1 or 11 = 11 − 10.

Show that {xx^R | x,y ∈ {0,1}*} is a context-free language. Note that x^R is the...

Show that {xx^R | x,y ∈ {0,1}*} is a context-free language. Note that x^R is the reversal of x. Show all work. Question is for Discrete Math Structures

Which of the following is NOT a context in which animals show evidence of learning? Select...

Which of the following is NOT a context in which animals show evidence of learning? Select one: a. kin recognition b. predator recognition c. habitat selection d. mate choice e. Learning can be evident in all of the contexts listed here.

Subjects