Pumping lemma for context free languages, Mathematics

Assignment Help:

1. Construct a grammar G such that L(G) = L(M) where M is the PDA in the previous question. Then show that the word aaaabb is generated by G.

2. Prove, using the Pumping Lemma for Context-Free Languages, that the language L = {ak | k is a perfect square} is not context-free.

2. Consider the language L = {ak bk | k > 0}. Explain whether this language is context-free, context-sensitive, recursive, recursively, enumerable, and/or regular. While formal proofs are not required, justify your assertions.


Related Discussions:- Pumping lemma for context free languages

Algebra 1, how do you write this polynomial in standerd form 5x3 + x5 - 8 +...

how do you write this polynomial in standerd form 5x3 + x5 - 8 + 4x ?

Give an examples of simplifying fractions , Give an examples of Simplifying...

Give an examples of Simplifying Fractions ? When a fraction cannot be reduced any further, the fraction is in its simplest form. To reduce a fraction to its simplest form,

SYSTEMS OF ODE, Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2  2 linear s...

Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2  2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi

Utilizes the definition of the limit to prove the given limi, Utilizes the ...

Utilizes the definition of the limit to prove the given limit. Solution In this case both L & a are zero.  So, let ε 0 so that the following will be true. |x 2 - 0|

How far is that person from the starting point, A person travels 10 miles d...

A person travels 10 miles due north, 6 miles due west, 4 miles due north, and 12 miles due east. How far is that person from the initail state? a. 23 miles northeast b. 13 mi

Numerical.analysis. , Please, I want to know and study "stability 0n predic...

Please, I want to know and study "stability 0n predictor -corrector method .My gmail is [email protected] heap and kind to me .Thanks for this.

Probability that a leap year will have 53 sunday?explain, A leap year has 3...

A leap year has 366 days, therefore 52 weeks i.e. 52 Sunday and 2 days. The remaining 2 days may be any of the following : (i) Sunday and Monday (ii) Monday and Tuesday (iii)

Tent originally sold for $2 what is the percent of discount, A tent origina...

A tent originally sold for $260 and has been marked down to $208. What is the percent of discount? Find out the number of dollars off. $260 - $208 = $52. Further, determine wha

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd