Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Which of the following is right?a)A Context f...
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Which of the following is right?
- a)A Context free language can be accepted by a deterministic PDA
- b)union of 2 CFLs is context free
- c)The intersection of two CFLs is context free
- d)The complement of CFLs is context free
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Which of the following is right?a)A Context free language can be accep...
Explanation:
Context-free languages (CFLs) are a type of formal language that can be generated by a context-free grammar (CFG). A deterministic pushdown automaton (DPDA) is a type of automaton that can recognize a context-free language.
a) A Context-free language can be accepted by a deterministic PDA
This statement is true. A DPDA can recognize a context-free language by pushing and popping symbols onto a stack based on the rules of a CFG.
b) Union of 2 CFLs is context free
This statement is true. If we have two CFLs, we can construct a CFG that generates their union. We can do this by taking the union of the two CFGs and adding a new start symbol that derives the start symbols of the original CFGs.
c) The intersection of two CFLs is context free
This statement is false. The intersection of two CFLs may not be a CFL. There may be no CFG that generates the intersection of the two CFLs.
d) The complement of CFLs is context free
This statement is false. The complement of a CFL may not be a CFL. There may be no CFG that generates the complement of the CFL.
Therefore, the correct answer is option 'B'.
Context-free languages (CFLs) are a type of formal language that can be generated by a context-free grammar (CFG). A deterministic pushdown automaton (DPDA) is a type of automaton that can recognize a context-free language.
a) A Context-free language can be accepted by a deterministic PDA
This statement is true. A DPDA can recognize a context-free language by pushing and popping symbols onto a stack based on the rules of a CFG.
b) Union of 2 CFLs is context free
This statement is true. If we have two CFLs, we can construct a CFG that generates their union. We can do this by taking the union of the two CFGs and adding a new start symbol that derives the start symbols of the original CFGs.
c) The intersection of two CFLs is context free
This statement is false. The intersection of two CFLs may not be a CFL. There may be no CFG that generates the intersection of the two CFLs.
d) The complement of CFLs is context free
This statement is false. The complement of a CFL may not be a CFL. There may be no CFG that generates the complement of the CFL.
Therefore, the correct answer is option 'B'.
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Community Answer
Which of the following is right?a)A Context free language can be accep...
Context free Language is accepted by push down automata. Deterministic context free Language is accepted by deterministic push down automata.
so option A is wrong.
Union of two context free Language is context free Language.
whereas intersection and compliment of two context free Language is non context free Language
so B is correct option.
so option A is wrong.
Union of two context free Language is context free Language.
whereas intersection and compliment of two context free Language is non context free Language
so B is correct option.
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Which of the following is right?a)A Context free language can be accepted by a deterministic PDAb)union of 2 CFLs is context freec)The intersection of two CFLs is context freed)The complement of CFLs is context freeCorrect answer is option 'B'. Can you explain this answer?
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