Question
Download Solution PDFComprehension
A machine is represented by states Q, input alphabet Σ, transition function δ. Initial state qo and final state F. The machine accepts all the strings over Σ = {a,b}, which starts and ended with any combination of all alphabet and abb works/lies in all the strings to be accepted
For the above specified passage, which of the following represent the grammar for the language accepted the machine?
Answer (Detailed Solution Below)
Option 3 : S → AabbA, A → aA|bA|∈
Detailed Solution
Download Solution PDFThe correct answer is Option 3.
- 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.
- 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.