Final answer:
The student's question involves a leftmost derivation for the string '1100' and a parse tree for '1010' given a specific grammar. A leftmost derivation is provided for '1100', but the parse tree for '1010' cannot be completed without clarification on the grammar rules.
Step-by-step explanation:
The question asks for a leftmost derivation and a parse tree for different strings based on a given context-free grammar.
Leftmost Derivation for the string 1100
A leftmost derivation starts from the start symbol and at every step replaces the leftmost non-terminal using one of the rules of the grammar. For the string '1100', the leftmost derivation is:
- S → A1ABA
- → 1ABA (since A → 1 is not a production, we assume A → ε here)
- → 1BBA (substituting the leftmost A with ε)
- → 10BA (using B → 1B)
- → 100BA (using B → 0B)
- → 100A (using B → ε)
- → 100 (using A → ε)
Parse Tree for the string 1010
To construct a parse tree, one starts from the start symbol and builds the tree according to the productions used to generate the string. However, without the exact grammar rules for generating '1', the parse tree cannot be accurately depicted for '1010'. Assuming a typo and that A → 1 is a production, the parse tree steps may resemble:
- Start with the root S.
- Create a branch for A1ABA.
- Replace A with 1 and create branches for the non-terminals B and A.
- Repeat the process according to the derivation rules until the terminals in the tree match the string '1010'.
Without full clarity regarding the production rules for '1', the parse tree cannot be completed. As such, we require the corrected grammar to proceed.