Statement 1: Ambiguity is the property of grammar but not the language.
Statement 2: Same language can have more than one grammar.
Which of the following options are correct with respect to the given statements?
a)
Statement 1 is true but statement 2 is false
b)
Statement 1 is false but statement 2 is true
c)
Both the statements are true
d)
Both the statements are false
Correct answer is option 'C'. Can you explain this answer?

Question

Statement 1: Ambiguity is the property of grammar but not the language.
Statement 2: Same language can have more than one grammar.
Which of the following options are correct with respect to the given statements?

a)
Statement 1 is true but statement 2 is false
b)
Statement 1 is false but statement 2 is true
c)
Both the statements are true
d)
Both the statements are false

Correct answer is option 'C'. Can you explain this answer?

Answer

Ambiguity in Grammar and Language

Statement 1: Ambiguity is the property of grammar but not the language.
Ambiguity in grammar refers to a situation where a sentence or phrase can have more than one interpretation or meaning. It arises due to the presence of multiple valid parse trees for a given sentence. In other words, it occurs when a sentence can be parsed in multiple ways, leading to different interpretations.

Ambiguity is a property of grammar because it is caused by the way the rules of a language are structured. The grammar defines the syntax and structure of a language, and the presence of ambiguous rules or structures can result in ambiguity.

However, ambiguity is not a property of the language itself. The language itself may have multiple meanings for certain words or phrases, but ambiguity arises when these meanings are combined and expressed using the rules of the grammar.

Therefore, Statement 1 is true as ambiguity is indeed a property of grammar, but not the language itself.

Statement 2: Same language can have more than one grammar.
A language can be defined by multiple grammars, each of which describes the syntax and structure of the language in a different way. Different grammars can have different rules, productions, and parsing algorithms to describe the same language.

For example, in the context of programming languages, there can be different syntactic formalisms or grammar notations to describe the same language. Each grammar may have its own set of rules and structures, but they all describe the same language and can generate the same set of valid sentences.

Therefore, Statement 2 is true as the same language can indeed have more than one grammar.

Conclusion
Based on the explanations above, both statements are true:

- Statement 1 is true because ambiguity is a property of grammar, not the language itself.
- Statement 2 is true because the same language can have multiple grammars that describe it in different ways.

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