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Which of the following is analogous to the following?
:NFA and NPDA
:NFA and NPDA
- a)Regular language and Context Free language
- b)Regular language and Context Sensitive language
- c)Context free language and Context Sensitive language
- d)None of the mentioned
Correct answer is option 'A'. Can you explain this answer?
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Which of the following is analogous to the following?:NFA and NPDAa)Re...
All regular languages can be accepted by a non deterministic finite automata and all context free languages can be accepted by a non deterministic push down automata.
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Which of the following is analogous to the following?:NFA and NPDAa)Re...
Introduction:
NFA (Nondeterministic Finite Automaton) and NPDA (Nondeterministic Pushdown Automaton) are two types of automata used in theoretical computer science to model different types of languages. In this question, we are asked to find an analogy to NFA and NPDA from the given options.
Analogy:
To determine the correct analogy, let's analyze each option:
a) Regular language and Context-Free language:
- Regular languages can be recognized by NFAs, which are a type of finite automaton.
- Context-Free languages can be recognized by PDAs (Pushdown Automata), which are a more powerful type of automaton than NFAs.
- Since NFA is less powerful than NPDA, this analogy is not correct.
b) Regular language and Context-Sensitive language:
- Regular languages can be recognized by NFAs, as explained before.
- Context-Sensitive languages can be recognized by Turing machines, which are more powerful than PDAs.
- Again, this analogy is not correct because NFA is less powerful than NPDA.
c) Context-Free language and Context-Sensitive language:
- Context-Free languages can be recognized by PDAs, as mentioned earlier.
- Context-Sensitive languages can also be recognized by Turing machines.
- This analogy is not correct because both options represent different levels of language complexity.
Conclusion:
The correct analogy to NFA and NPDA is option 'A': Regular language and Context-Free language. Regular languages can be recognized by NFAs, while Context-Free languages can be recognized by PDAs. Both NFAs and PDAs are less powerful than NPDA, making this analogy appropriate.
NFA (Nondeterministic Finite Automaton) and NPDA (Nondeterministic Pushdown Automaton) are two types of automata used in theoretical computer science to model different types of languages. In this question, we are asked to find an analogy to NFA and NPDA from the given options.
Analogy:
To determine the correct analogy, let's analyze each option:
a) Regular language and Context-Free language:
- Regular languages can be recognized by NFAs, which are a type of finite automaton.
- Context-Free languages can be recognized by PDAs (Pushdown Automata), which are a more powerful type of automaton than NFAs.
- Since NFA is less powerful than NPDA, this analogy is not correct.
b) Regular language and Context-Sensitive language:
- Regular languages can be recognized by NFAs, as explained before.
- Context-Sensitive languages can be recognized by Turing machines, which are more powerful than PDAs.
- Again, this analogy is not correct because NFA is less powerful than NPDA.
c) Context-Free language and Context-Sensitive language:
- Context-Free languages can be recognized by PDAs, as mentioned earlier.
- Context-Sensitive languages can also be recognized by Turing machines.
- This analogy is not correct because both options represent different levels of language complexity.
Conclusion:
The correct analogy to NFA and NPDA is option 'A': Regular language and Context-Free language. Regular languages can be recognized by NFAs, while Context-Free languages can be recognized by PDAs. Both NFAs and PDAs are less powerful than NPDA, making this analogy appropriate.
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