Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q10E (page 155)

Give an informal description of a pushdown automaton that recognizes the language in Exercise 2.9.

Short Answer

Expert verified

Answer:

Informal description of the pushdown automaton that recognizes the language A={ajbjcki=jorj=kwherei,j,k≥0}can be given.

Step by step solution

01

Explain pushdown automaton

Pushdown Automaton write symbols on the stack and read them. Writing a new symbol pushes down all the symbols in the stack before.

02

Give an informal description of a pushdown automaton that recognizes the language A.

Informal description of the pushdown automaton that recognizes the language A={ajbjck|i=jorj=kwherei,j,k≥0}is as follows,

  1. Nondeterministic, branching to step 2 or 6.
  2. Read and push a ’s.
  3. Pop a’s, and read b ’s.
  4. If stack is empty,accept.
  5. Skip a’s and c’s input.
  6. Push b’s
  7. Read c’s.
  8. When stack is empty and c’s finish, accept.

Therefore, the informal description has been given

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Show that F = { aibj|i=kjfor some positive integerk } is not context free

Give an informal description of a pushdown automaton that recognizes the language in Exercise 2.9.

Consider the following CFG:

S→SS|TT→aTb|ab

Describe L(G)and show that G is ambiguous. Give an unambiguous grammar(H) where L(H)=L(G)and sketch a proof that (H)is unambiguous.

Answer each part for the following context-free grammar G

R→XRX|SS→aTb|bTaT→XTX|X|εX→a|b

  1. What are the variables of G?
  2. What are the terminals of G?
  3. Which is the start variable of G?
  4. Give three strings in L(G).
  5. Give three strings not inL(G) .
  6. True or False: T⇒aba.
  7. True or False: T⇒∗aba.
  8. True or False:T⇒T .
  9. True or False: T⇒∗T.
  10. True or False:XXX⇒∗aba .
  11. True or False: X⇒∗aba
  12. True or False:role="math" localid="1660812124187" T⇒∗XX.
  13. True or False: T⇒∗XXX.
  14. True or False: S⇒∗ε.
  15. Give a description in English of L(G) .

Let B be the language of all palindromes over {0,1} containing equal numbers of 0s and 1s. Show that B is not context free.
See all solutions

Recommended explanations on Computer Science Textbooks

Theory of Computation

Read Explanation

Databases

Read Explanation

Computer Systems

Read Explanation

Functional Programming

Read Explanation

Big Data

Read Explanation

Data Representation in Computer Science

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free