For the above specified passage, which of the following represent the grammar for the language accepted the machine?

The correct answer is Option 3.

Key Points

• Option 3 specifies the grammar for the language accepted by the machine as follows:
  • S → AabbA
  • A → aA | bA | ε
• This grammar generates strings where:
  • The start symbol S derives a string with 'A', followed by 'aabb', followed by 'A'.
  • The non-terminal A can be replaced by 'aA', 'bA', or ε (the empty string).
• This allows for the generation of strings with 'a' and 'b' characters appropriately placed in the structure defined by the grammar.

Additional Information

• Grammar rules (productions) define how strings in a language can be generated from the start symbol.
• The symbol 'ε' denotes the empty string, which means a non-terminal can be replaced by nothing.
• The use of non-terminals like A allows for recursive definitions, enabling the generation of complex strings.
• Correct grammar formulations are essential in parsing and generating strings in programming languages and compilers.