Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Grammars that can be translated to DFAs:a)Lef...
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Grammars that can be translated to DFAs:
- a)Left linear grammar
- b)Right linear grammar
- c)Generic grammar
- d)All of the mentioned
Correct answer is option 'B'. Can you explain this answer?
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Grammars that can be translated to DFAs:a)Left linear grammarb)Right l...
Right linear grammar can be translated to the DFAs.
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Grammars that can be translated to DFAs:a)Left linear grammarb)Right l...
Explanation:
DFAs (Deterministic Finite Automata) are a type of finite-state machine used for recognizing patterns within input taken from some character set. The language generated by a grammar can be recognized by a DFA if and only if the grammar is regular. Regular grammars can be further classified into left-linear, right-linear, and generic grammars.
a) Left Linear Grammar:
A left-linear grammar is a type of regular grammar in which all productions are of the form A → aB or A → a where A and B are non-terminals and a is a terminal symbol. Left-linear grammars can be converted into Left Linear Regular Expressions (LLREs) and thus can be recognized by a DFA.
b) Right Linear Grammar:
A right-linear grammar is a type of regular grammar in which all productions are of the form A → Ba or A → a where A and B are non-terminals and a is a terminal symbol. Right-linear grammars can be converted into Right Linear Regular Expressions (RLREs) and thus can be recognized by a DFA.
c) Generic Grammar:
A generic grammar is a context-free grammar that generates a language that is not regular. These types of grammars cannot be recognized by a DFA.
d) All of the mentioned:
This option is incorrect as generic grammars cannot be recognized by a DFA.
Therefore, the correct option is B) Right Linear Grammar.
DFAs (Deterministic Finite Automata) are a type of finite-state machine used for recognizing patterns within input taken from some character set. The language generated by a grammar can be recognized by a DFA if and only if the grammar is regular. Regular grammars can be further classified into left-linear, right-linear, and generic grammars.
a) Left Linear Grammar:
A left-linear grammar is a type of regular grammar in which all productions are of the form A → aB or A → a where A and B are non-terminals and a is a terminal symbol. Left-linear grammars can be converted into Left Linear Regular Expressions (LLREs) and thus can be recognized by a DFA.
b) Right Linear Grammar:
A right-linear grammar is a type of regular grammar in which all productions are of the form A → Ba or A → a where A and B are non-terminals and a is a terminal symbol. Right-linear grammars can be converted into Right Linear Regular Expressions (RLREs) and thus can be recognized by a DFA.
c) Generic Grammar:
A generic grammar is a context-free grammar that generates a language that is not regular. These types of grammars cannot be recognized by a DFA.
d) All of the mentioned:
This option is incorrect as generic grammars cannot be recognized by a DFA.
Therefore, the correct option is B) Right Linear Grammar.
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Grammars that can be translated to DFAs:a)Left linear grammarb)Right linear grammarc)Generic grammard)All of the mentionedCorrect answer is option 'B'. Can you explain this answer?
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