Question

Prove that the intersection of a CFL and a Regular language is always context free. I...

Prove that the intersection of a CFL and a Regular language is always context free.

I was thinking representing the CFL as a PDA, and the regular language as a DFA, then - if they both accept at the same time, the intersection must be context free?

Engineering   Computer-Science   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The intersection of a CFL and regular language is always regular and context free.

A language is regular if and only if it is accepted by some NFA, the complement of a regular language is also regular. Languages are sets. Therefore all the properties of sets are inherited by languages.

A context-free grammar (CFG) is a set of recursive rewriting rules used to generate patterns of strings. A CFG consists of the following components: a set of terminal symbols, which are the characters of the alphabet that appear in the strings generated by the grammar.

A regular language satisfies the following equivalent properties: it is the language of a regular expression it is the language accepted by a nondeterministic finite automaton (NFA) it is the language accepted by a deterministic finite automaton (DFA) it can be generated by a regular grammar.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use CFG or PDA to prove L= {0a1b0c : b ≠ a + c; a, b,...
Use CFG or PDA to prove L= {0a1b0c : b ≠ a + c; a, b, c ≥ _0} is a context-free language. Please add your explanation, thank you. If you can use the theorem(union of CFL and regular language = CFL) is also welcomed.
I quit social media for 1 month -- it was the best choice I ever made...
I quit social media for 1 month -- it was the best choice I ever made I quit social media for a month. So, I quit Facebook, Instagram, Snapchat, and Twitter. I just needed a break. It was time to cut myself off I stopped using social media this morning and my brain is going crazy. I just realised how often I glance down just to see if I have a notification. When I wake up in the morning, on...
comment on 2 things you learned from this chapter of the Cognitive development ece 124 chapter...
comment on 2 things you learned from this chapter of the Cognitive development ece 124 chapter 9 Piaget -Preoperational intelligence • Cognitive development between the ages of about 2 and 6 • Includes language and imagination • Suggests logical, operational thinking is not yet possible at this stage Piaget: Symbolic Thought • Major accomplishment of preoperational intelligence • Allows a child to think symbolically, including understanding that words can refer to things not seen and that an item can symbolize...
9. Which of the following is not true about the virtues in Aristotle’s ethics? (a) They...
9. Which of the following is not true about the virtues in Aristotle’s ethics? (a) They are states of character. (b) The virtuous person experiences pleasure when doing virtuous actions. (c) They are acquired via divine commands. (d) They allow our characteristic activities to be performed well. (e) They require our sentiment as well as our intellect.                                                                                                 10. Which of the following best captures the conclusion of Nagel’s argument in “What Is It Like to be a Bat?” (a)...
The Business Case for Agility “The battle is not always to the strongest, nor the race...
The Business Case for Agility “The battle is not always to the strongest, nor the race to the swiftest, but that’s the way to bet ’em!”  —C. Morgan Cofer In This Chapter This chapter discusses the business case for Agility, presenting six benefits for teams and the enterprise. It also describes a financial model that shows why incremental development works. Takeaways Agility is not just about the team. There are product-management, project-management, and technical issues beyond the team’s control. Lean-Agile provides...
The differences & similarities between the federal & state court systems. 2. The structure of the...
The differences & similarities between the federal & state court systems. 2. The structure of the Washington state court system; i.e. the trial court of general jurisdiction, the intermediate appellate court, the state supreme court. 3. Remember, Washington is in the 9 th Circuit Court of Appeals. 4. Under both the Washington state and federal court system, there is one appeal as of right. Appeals to the Washington Supreme Court(in the state system), or to the U.S. Supreme Court in...
QUESTION 1 Which one of the following would NOT be necessary for an offer to have...
QUESTION 1 Which one of the following would NOT be necessary for an offer to have legal standing? A. The language must reflect the intent to become a party to a contract. B. All of the conditions under which the offer would be terminated must be identified. C. All the significant terms and/or conditions must be contained in the offer. D. The offer must be effectively communicated to the other party. 3 points    QUESTION 2 Which one of the...
2. SECURING THE WORKFORCE Diversity management in X-tech, a Japanese organisation This case is intended to...
2. SECURING THE WORKFORCE Diversity management in X-tech, a Japanese organisation This case is intended to be used as a basis for class discussion rather than as an illustration of the effective or ineffective handling of an administrative situation. The name of the company is disguised. INTRODUCTION In light of demographic concerns, in 2012, the Japanese government initiated an effort to change the work environment in order to secure the workforce of the future. Japan is world renowned for its...
3 SECURING THE WORKFORCE Diversity management in X-tech, a Japanese organisation This case is intended to...
3 SECURING THE WORKFORCE Diversity management in X-tech, a Japanese organisation This case is intended to be used as a basis for class discussion rather than as an illustration of the effective or ineffective handling of an administrative situation. The name of the company is disguised. INTRODUCTION In light of demographic concerns, in 2012, the Japanese government initiated an effort to change the work environment in order to secure the workforce of the future. Japan is world renowned for its...
CASE STUDY REWARD ENCOURAGES BEAST.....OOPS, BEST! Challenges and accomplishments Neera and Vijit’s experience proved to be...
CASE STUDY REWARD ENCOURAGES BEAST.....OOPS, BEST! Challenges and accomplishments Neera and Vijit’s experience proved to be an asset in the project. Both were technically qualified and committed to the work. Both wanted to excel in their work. Neera knew that with a big team, verbal instructions will get diluted and therefore written instructions were important. Manuals were prepared for each aspect of assessment and the entire field staff was meticulously trained so that clarity about the work and mechanism to...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT