HomeworkLib
Question

Additional 9-13 Prove that the language {w#w|w is a string over the alphabet {a,b,c}} is not...

Additional 9-13 Prove that the language {w#w|w is a string over the alphabet {a,b,c}} is not regular

Tip: here are some strings in that language:

  • abbc#abbc
  • a#a
  • aaa#aaa
  • aaab#aaab
  • cab#cab
engineering   Computer-Science   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Solution to the above problem:

0 0
Add a comment
Know the answer?
Add Answer to:
Additional 9-13 Prove that the language {w#w|w is a string over the alphabet {a,b,c}} is not...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 1(a)Draw the state diagram for a DFA for accepting the following language over alphabet {0,1}: {w...

    1(a)Draw the state diagram for a DFA for accepting the following language over alphabet {0,1}: {w | the length of w is at least 2 and has the same symbol in its 2nd and last positions} (b)Draw the state diagram for an NFA for accepting the following language over alphabet {0,1} (Use as few states as possible): {w | w is of the form 1*(01 ∪ 10*)*} (c)If A is a language with alphabet Σ, the complement of A is...

  • 1. Consider the alphabet {a,b,c}. Construct a finite automaton that accepts the language described by the...

    1. Consider the alphabet {a,b,c}. Construct a finite automaton that accepts the language described by the following regular expression. 6* (ab U bc)(aa)* ccb* Which of the following strings are in the language: bccc, babbcaacc, cbcaaaaccbb, and bbbbaaaaccccbbb (Give reasons for why the string are or are not in the language). 2. Let G be a context free grammar in Chomsky normal form. Let w be a string produced by that grammar with W = n 1. Prove that the...

  • Additional 9-14 Prove that the language {a"b" n, k ε N and n S k} is...

    Additional 9-14 Prove that the language {a"b" n, k ε N and n S k} is not regular Hint: I go over this proof in the lecture. You can watch it again to make sure you follow it before doing it. 2 Additional 9-15 Prove that the language (a"b n, k E N and n Hint: a little different... 2 k Is not regular 3 Additional 9-16 Prove that the language (w w (a, b and w has an equal...

  • 4. A regular expression for the language over the alphabet fa, b) with each string having...

    4. A regular expression for the language over the alphabet fa, b) with each string having an even number of a's is (b*ab*ab*)*b*. Use this result to find regular expressions for the following languages a language over the same alphabet but with each string having odd number of a's. (3 points) a. b. a language over the same alphabet but with each string having 4n (n >- 0) a's. (3 points)

  • Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string...

    Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string except abba or aba}. Prove that your DFA recognizes exactly the specified language. 2. {w|w contains a substring either ababb or bbb}. Write the formal description for this DFA too.

  • John Doe claims that the language L, of all strings over the alphabet Σ = {...

    John Doe claims that the language L, of all strings over the alphabet Σ = { a, b } that contain an even number of occurrences of the letter ‘a’, is not a regular language. He offers the following “pumping lemma proof”. Explain what is wrong with the “proof” given below. “Pumping Lemma Proof” We assume that L is regular. Then, according to the pumping lemma, every long string in L (of length m or more) must be “pumpable”. We...

  • Suppose alphabet Σ = {a} and consider the following regular language A, A = {w |...

    Suppose alphabet Σ = {a} and consider the following regular language A, A = {w | |w| ≥ 4}, i.e., strings whose length is at least 4 (equivalently, unary numbers x ≥ 4). a) Construct a DFA that recognizes A with as few states as possible (draw a state diagram). b) Construct a PDA that recognizes A with as few states as possible (draw a state diagram). Note that the stack alphabet may include additional symbols.

  • 1. (Decidable languages) (c) (Prefix of a generated string) A string w is called a prefix...

    1. (Decidable languages) (c) (Prefix of a generated string) A string w is called a prefix of string s if s starts with w. i. Give a regular expression for all strings over alphabet Σ for which w is a prefix. ii. Let L = {(G, w) | G is a CFG, w is a string, and w is a prefix of some string s generated by G}.

  • Find a regular expression for the following language over the alphabet Σ = {a,b}. L = {strings th...

    Find a regular expression for the following language over the alphabet Σ = {a,b}. L = {strings that begin and end with a and contain bb}.

  • 4. (Non-CFLs) Prove that the following languages are not context-free. (b) The following language over the...

    4. (Non-CFLs) Prove that the following languages are not context-free. (b) The following language over the alphabet {a, b, c}: B = {aix | i ≥ 0, x ∈ {b, c}* , and if i = 1 then x = ww for some string w}. (Careful: B satisfies the pumping lemma for CFLs! Make sure you understand why, but you don’t need to write it down.)

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT