Question: If A and B are languages, define Prove that if A and B are regular languages, then A B is context-free. [Hint: Let M, =

If A and B are languages, define Prove that if A

If A and B are languages, define Prove that if A and B are regular languages, then A B is context-free. [Hint: Let M, = (Q1, '1M1, F.) and M2 = (Q2, , 2.92, F2) be DFAs that recognize A and B. respectively. Construct a PDA M = (Q,,1..90, F) to recognize A B. You may assume that Q n Q2-Alternatively, you can consider a right regular grammar for A and a left regular grammar for B and construct a new CFG for A B

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Problem 3 [15 points] If A and B are languages, define In LATEX, you can produce o by using Idiamond in math mode. Prove that if A and B are regular languages, then A. B is context-free. [Hint: Let...

Problem 1 Please provide answers to the three parts of the problem. For the first two it would be helpful to have a counterexample with the proof. Promise to provide thumbs up ! Prove that the set of...

Closure properties of decidable languages 5 points] Prove that the class of decidable languages is closed under concatena tion. Hint: Let Mi and M2 be TMs that decide languages A and B. Construct a...

Define the avoid operation for languages A and B to be A avoid and w does not contain any string in B as a substring } Prove: if A and B are both regular languages, then A avoid B is regular. ( Hint:...

(6) [10 marks] If A and B are languages, define A o B = {xy | X E A and y e B and x] = [y]}. Show that if A and B are regular languages, then Ao B is a CFL. (hint: prove by formally constructing a...

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...

3. (15 points) It is true that context-free languages are not closed under intersection. In this problem, we will show that if L is a context-free language and K is a regular language then LnK is...

Give me an example of COMP 2 3 2 1 sample questions 1 . Design a deterministic finite state machine that accepts the following lan - guage. { x in { 0 , 1 } | x contains an even number of 1 s and an...

Asset C3PO has a depreciable base of $16.5 million and a service life of 10 years. What would the accumulated depreciation be. At the end of year five under the sum- of-the-years' digits method?

1. Blacktea Company had a net income of $102,000 for the year ended December 31, 2018. On December 15, Blacktea announced an annual cash dividend (face value, $100,000) on its 22% preferred stock and...

prepare the journal entries to record these transactions on the books of pharoah co

Which of the following are problems with identifying users of ABC? Multiple select question. ABC means different things to different organizations. Organizations will announce the discontinuance of...

8-6 Who poses the biggest security threat: insiders or outsiders?

8-12 In MyMISLab, you will find a Collaboration and Teamwork Project dealing with the concepts in this chapter. You will be able to use Google Drive, Google Docs, Google Sites, Google+, or other open...

8-14 Describe some of the main points of the Digital Agenda for Europe. The IT sector is one of the key drivers of the European economy. It has been estimated that 60 percent of Europeans use the...