Consider an ambiguous grammar G and its disambiguated version D. Let t...
L (D) = L (G) , Both must represent same language .Also if we are converting a grammar from Ambiguous to UnAmbiguous form , we must ensure that our new new grammar represents the same language as previous grammar.
For ex G1: S->Sa/aS/a; {Ambiguous (2 parse trees for string 'aa')}
G1':S->aS/a;{Unambiguous}
Both represents language represented by regular expression: a^+
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Consider an ambiguous grammar G and its disambiguated version D. Let t...
Understanding Ambiguous and Disambiguated Grammars
When analyzing the relationship between an ambiguous grammar G and its disambiguated version D, we focus on the languages they recognize: L(G) and L(D).
Definition of Ambiguous Grammar
- An ambiguous grammar is one that can generate the same string in multiple ways, leading to different parse trees.
- This ambiguity complicates syntactic analysis and can lead to issues in compilers or interpreters.
Definition of Disambiguated Grammar
- A disambiguated grammar, on the other hand, is designed to produce a unique parse tree for each string in the language.
- This results in a clear and deterministic interpretation of the strings generated.
Relationship Between L(G) and L(D)
- Both L(G) and L(D) consist of the same set of strings; however, the key difference lies in how these strings are derived.
- The disambiguation process does not change the language itself; it only clarifies how strings can be derived from the grammar.
Conclusion: L(D) = L(G)
- Since D is a refinement of G, making it clearer without altering the language, we conclude that both grammars generate the same language.
- Therefore, it is accurate to state that L(D) = L(G).
Final Answer
The correct assertion regarding the languages recognized by the ambiguous grammar G and its disambiguated version D is option 'C': L(D) = L(G).