The string "a+a+a" satisfies the following properties:

1. It is in the language: The given grammar E - a + E | a can generate the string "a+a+a". We can derive it as follows: E - a + E - a + a + E - a + a + a.

2. It has a unique leftmost derivation: The leftmost derivation of the string "a+a+a" is unique in this grammar. At each step, we replace the leftmost non-terminal symbol.

3. The parse tree is left-associative: The parse tree for this string with the given grammar is left-associative. This means that in the absence of parentheses, the string is parsed from left to right.

The string "a+a+a" does not satisfy the following properties:

1. It is not in the language: This is incorrect because the string "a+a+a" can be derived from the given grammar.

2. It is derived by two distinct leftmost derivations: This is incorrect because the string "a+a+a" has a unique leftmost derivation in this grammar.

3. The parse tree is right-associative: This is incorrect because the parse tree for this string with the given grammar is left-associative, not right-associative.

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The string "a+a+a" satisfies the following properties:

1. It is in the language: The given grammar E -> a + E | a can generate the string "a+a+a". We can derive it as follows: E -> a + E -> a + a + E -> a + a + a.

2. It has a unique leftmost derivation: The leftmost derivation of the string "a+a+a" is unique in this grammar. At each step, we replace the leftmost non-terminal symbol.

3. The parse tree is left-associative: The parse tree for this string with the given grammar is left-associative. This means that in the absence of parentheses, the string is parsed from left to right.

The string "a+a+a" does not satisfy the following properties:

1. It is not in the language: This is incorrect because the string "a+a+a" can be derived from the given grammar.

2. It is derived by two distinct leftmost derivations: This is incorrect because the string "a+a+a" has a unique leftmost derivation in this grammar.

3. The parse tree is right-associative: This is incorrect because the parse tree for this string with the given grammar is left-associative, not right-associative.

Knowee AI · Accepted Answer

The string "a+a+a" satisfies the following properties:

1. It is in the language: The given grammar E -> a + E | a can generate the string "a+a+a". We can derive it as follows: E -> a + E -> a + a + E -> a + a + a.

2. It has a unique leftmost derivation: The leftmost derivation of the string "a+a+a" is unique in this grammar. At each step, we replace the leftmost non-terminal symbol.

3. The parse tree is left-associative: The parse tree for this string with the given grammar is left-associative. This means that in the absence of parentheses, the string is parsed from left to right.

The string "a+a+a" does not satisfy the following properties:

1. It is not in the language: This is incorrect because the string "a+a+a" can be derived from the given grammar.

2. It is derived by two distinct leftmost derivations: This is incorrect because the string "a+a+a" has a unique leftmost derivation in this grammar.

3. The parse tree is right-associative: This is incorrect because the parse tree for this string with the given grammar is left-associative, not right-associative.

Given the grammar E -> a + E | a. Select the properties satisfied by the string "a+a+a".1 pointIt is in the languageIt is not in the languageIt has a unique leftmost derivationIt is derived by two distinct leftmost derivationsThe parse tree is left-associativeThe parse tree is right-associative

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