Need help in theoretical computer science Given the following language over the alphabet Σ = {a, b, c, d}. • L = {a ^ r b ^ r c ^ r d ^ m | r, m∈IN} Answer the following questions. (i) Are infinitely many words in this language 1-inflatable? If so, include such words. (ii) Are infinitely many words in this language not 1-inflatable? If so, include such words. (iii) Can one use the pumping lemma for context-free languages to show that the language L is not a context-free language? If so, briefly outline how one can then argue. Subtask (b) Now let the following language be given over the alphabet Σ = {a, b, c, d} • L = {a^r b^ r c^r d ^ m | r, m∈IN} ∪ {a^i b ^ j c^k | i, j, k∈IN} (i) Are infinitely many words in this language 1-inflatable? If so, include such words. (ii) Are infinitely many words in this language not 1-inflatable? If so, include such words. (iii) Can one use the pumping lemma for context-free languages to show that the language L is not a context-free language? If so, briefly outline how one can then argue.
Need help in theoretical computer science Given the following language over the alphabet Σ = {a, b, c, d}. • L = {a ^ r b ^ r c ^ r d ^ m | r, m∈IN} Answer the following questions. (i) Are infinitely many words in this language 1-inflatable? If so, include such words. (ii) Are infinitely many words in this language not 1-inflatable? If so, include such words. (iii) Can one use the pumping lemma for context-free languages to show that the language L is not a context-free language? If so, briefly outline how one can then argue. Subtask (b) Now let the following language be given over the alphabet Σ = {a, b, c, d} • L = {a^r b^ r c^r d ^ m | r, m∈IN} ∪ {a^i b ^ j c^k | i, j, k∈IN} (i) Are infinitely many words in this language 1-inflatable? If so, include such words. (ii) Are infinitely many words in this language not 1-inflatable? If so, include such words. (iii) Can one use the pumping lemma for context-free languages to show that the language L is not a context-free language? If so, briefly outline how one can then argue.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Need help in theoretical computer science
Given the following language over the alphabet Σ = {a, b, c, d}.
• L = {a ^ r b ^ r c ^ r d ^ m | r, m∈IN}
Answer the following questions. (i) Are infinitely many words in this language 1-inflatable? If so, include such words.
(ii) Are infinitely many words in this language not 1-inflatable? If so, include such words.
(iii) Can one use the pumping lemma for context-free languages to show that the language L is not a context-free language? If so, briefly outline how one can then argue.
Subtask (b)
Now let the following language be given over the alphabet Σ = {a, b, c, d}
• L = {a^r b^ r c^r d ^ m | r, m∈IN} ∪ {a^i b ^ j c^k | i, j, k∈IN}
(i) Are infinitely many words in this language 1-inflatable? If so, include such words.
(ii) Are infinitely many words in this language not 1-inflatable? If so, include such words.
(iii) Can one use the pumping lemma for context-free languages to show that the language L is not a context-free language? If so, briefly outline how one can then argue.
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