Find regular grammars generating the languages represented by the following finite automata.

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Find regular grammars generating the languages represented by the following finite automata.

The image contains two directed graphs, often used to represent state transitions in automata theory or graph theory studies. Here's a detailed description:

1. **Graph at the Top:**

   - **Nodes:** There are four nodes labeled A, B, C, and D.
   - **Edges:** 
     - An edge labeled "a" connects A to B.
     - An edge labeled "b" connects A to D.
     - An edge labeled "a" connects B to C.
     - An edge labeled "b" connects B to D.
     - An edge labeled "b" connects D to A.
     - An edge labeled "a" connects D to C.

   This graph represents a finite state machine with transitions based on inputs 'a' and 'b'.

2. **Graph at the Bottom:**

   - **Nodes:** There are four nodes labeled S, A, C, and B.
   - **Edges:**
     - An edge labeled "a" connects S to A.
     - An edge labeled "b" connects A back to itself (a self-loop).
     - An edge labeled "a" connects A to C.
     - An edge labeled "b" connects C back to itself (a self-loop).
     - An edge labeled "b" connects C to B.
     - An edge labeled "a" connects C to B from S.
     - An edge labeled "a, b" connects S directly to B.

   This graph shows a state transition system with self-loops and multiple paths leading to node B.

These graphs are useful for illustrating how states transition based on different inputs, a fundamental concept in computer science related to automata and language processing.
Transcribed Image Text:The image contains two directed graphs, often used to represent state transitions in automata theory or graph theory studies. Here's a detailed description: 1. **Graph at the Top:** - **Nodes:** There are four nodes labeled A, B, C, and D. - **Edges:** - An edge labeled "a" connects A to B. - An edge labeled "b" connects A to D. - An edge labeled "a" connects B to C. - An edge labeled "b" connects B to D. - An edge labeled "b" connects D to A. - An edge labeled "a" connects D to C. This graph represents a finite state machine with transitions based on inputs 'a' and 'b'. 2. **Graph at the Bottom:** - **Nodes:** There are four nodes labeled S, A, C, and B. - **Edges:** - An edge labeled "a" connects S to A. - An edge labeled "b" connects A back to itself (a self-loop). - An edge labeled "a" connects A to C. - An edge labeled "b" connects C back to itself (a self-loop). - An edge labeled "b" connects C to B. - An edge labeled "a" connects C to B from S. - An edge labeled "a, b" connects S directly to B. This graph shows a state transition system with self-loops and multiple paths leading to node B. These graphs are useful for illustrating how states transition based on different inputs, a fundamental concept in computer science related to automata and language processing.
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