Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Consider the following languages:L1 = {ww | w...
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Consider the following languages:
L1 = {ww | w ∈ {a, b}*}
L2 = {anbncm | m, n ≥ 0}
L3 = {ambncn | m, n ≥ 0}
Which of the following statements is/are FALSE?
L1 = {ww | w ∈ {a, b}*}
L2 = {anbncm | m, n ≥ 0}
L3 = {ambncn | m, n ≥ 0}
Which of the following statements is/are FALSE?
- a)L1 is not context-free but L2 and L, are deterministic context-free.
- b)Neither L1 nor L, is context-free.
- c)L2, L3 and L2 ∩ L3 all are context-free
- d)Neither L1 nor its complement is context-free.
Correct answer is option 'B,C'. Can you explain this answer?
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Most Upvoted Answer
Consider the following languages:L1 = {ww | w ∈ {a, b}*}L2 = {anb...
The language L1 is the set of all strings of the form ww, where w is any string of characters. In other words, L1 is the set of all strings that can be obtained by concatenating a string with itself.
For example, if w = "ab", then ww = "abab" and this string would be in L1. Similarly, if w = "xyz", then ww = "xyzxyz" and this string would also be in L1.
However, if w = "a", then ww = "aa" and this string would also be in L1. Therefore, the language L1 contains strings of odd length as well.
In summary, L1 is the language of all strings that can be obtained by concatenating a string with itself, regardless of the length of the string.
For example, if w = "ab", then ww = "abab" and this string would be in L1. Similarly, if w = "xyz", then ww = "xyzxyz" and this string would also be in L1.
However, if w = "a", then ww = "aa" and this string would also be in L1. Therefore, the language L1 contains strings of odd length as well.
In summary, L1 is the language of all strings that can be obtained by concatenating a string with itself, regardless of the length of the string.
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Consider the following languages:L1 = {ww | w ∈ {a, b}*}L2 = {anb...
Option 1: L1 is not context-free but L2 and L3 are deterministic context-free.
True, L1 is not context-free and L2 and L3 are clearly DCFLs since they have only one comparison and DPDA can accept both.
True, L1 is not context-free and L2 and L3 are clearly DCFLs since they have only one comparison and DPDA can accept both.
Option 2: Neither L1 nor L2 is context-free.
False, L2 is DCFL and every DCFL is a CFL.
L2 - Context-free.
L3 - Context-free.
L2 ∩ L3 = {anbncn or ambmcm , m, n > = 0}
This language is context sensitive language.
False, L2 is DCFL and every DCFL is a CFL.
L2 - Context-free.
L3 - Context-free.
L2 ∩ L3 = {anbncn or ambmcm , m, n > = 0}
This language is context sensitive language.
Option 3: L2, L3 and L2 ∩ L3 all are context-free.
False,
L2 - Context-free.
L3 - Context-free.
L2 ∩ L3 = {anbncn, n > = 0} We can not compare the anbncn with one single stack. Hence it is not context-free.
False,
L2 - Context-free.
L3 - Context-free.
L2 ∩ L3 = {anbncn, n > = 0} We can not compare the anbncn with one single stack. Hence it is not context-free.
Option 4: Neither L1 nor its complement is context-free.
False, L1 - Not context-free.
L1' Complement of L1 is accepted by a context-free grammar is CFL.
Hence the correct answer is option 2, option 3 and option 4.
False, L1 - Not context-free.
L1' Complement of L1 is accepted by a context-free grammar is CFL.
Hence the correct answer is option 2, option 3 and option 4.
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Consider the following languages:L1 = {ww | w ∈ {a, b}*}L2 = {anbncm | m, n ≥ 0}L3 = {ambncn | m, n ≥ 0}Which of the following statements is/are FALSE?a)L1 is not context-free but L2 and L, are deterministic context-free.b)Neither L1 nor L, is context-free.c)L2, L3 and L2 ∩ L3all are context-freed)Neither L1 nor its complement is context-free.Correct answer is option 'B,C'. Can you explain this answer?
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Consider the following languages:L1 = {ww | w ∈ {a, b}*}L2 = {anbncm | m, n ≥ 0}L3 = {ambncn | m, n ≥ 0}Which of the following statements is/are FALSE?a)L1 is not context-free but L2 and L, are deterministic context-free.b)Neither L1 nor L, is context-free.c)L2, L3 and L2 ∩ L3all are context-freed)Neither L1 nor its complement is context-free.Correct answer is option 'B,C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the following languages:L1 = {ww | w ∈ {a, b}*}L2 = {anbncm | m, n ≥ 0}L3 = {ambncn | m, n ≥ 0}Which of the following statements is/are FALSE?a)L1 is not context-free but L2 and L, are deterministic context-free.b)Neither L1 nor L, is context-free.c)L2, L3 and L2 ∩ L3all are context-freed)Neither L1 nor its complement is context-free.Correct answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following languages:L1 = {ww | w ∈ {a, b}*}L2 = {anbncm | m, n ≥ 0}L3 = {ambncn | m, n ≥ 0}Which of the following statements is/are FALSE?a)L1 is not context-free but L2 and L, are deterministic context-free.b)Neither L1 nor L, is context-free.c)L2, L3 and L2 ∩ L3all are context-freed)Neither L1 nor its complement is context-free.Correct answer is option 'B,C'. Can you explain this answer?.
Consider the following languages:L1 = {ww | w ∈ {a, b}*}L2 = {anbncm | m, n ≥ 0}L3 = {ambncn | m, n ≥ 0}Which of the following statements is/are FALSE?a)L1 is not context-free but L2 and L, are deterministic context-free.b)Neither L1 nor L, is context-free.c)L2, L3 and L2 ∩ L3all are context-freed)Neither L1 nor its complement is context-free.Correct answer is option 'B,C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the following languages:L1 = {ww | w ∈ {a, b}*}L2 = {anbncm | m, n ≥ 0}L3 = {ambncn | m, n ≥ 0}Which of the following statements is/are FALSE?a)L1 is not context-free but L2 and L, are deterministic context-free.b)Neither L1 nor L, is context-free.c)L2, L3 and L2 ∩ L3all are context-freed)Neither L1 nor its complement is context-free.Correct answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following languages:L1 = {ww | w ∈ {a, b}*}L2 = {anbncm | m, n ≥ 0}L3 = {ambncn | m, n ≥ 0}Which of the following statements is/are FALSE?a)L1 is not context-free but L2 and L, are deterministic context-free.b)Neither L1 nor L, is context-free.c)L2, L3 and L2 ∩ L3all are context-freed)Neither L1 nor its complement is context-free.Correct answer is option 'B,C'. Can you explain this answer?.
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