The input of the DFA is a string and output is “accepted" or "rejected". DFA accepts or rejects a string when it reads the final symbol in the string.
The input of the DFA is a string and output is “accepted" or "rejected". DFA accepts or rejects a string when it reads the final symbol in the string.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Java language
The input of the DFA is a string and output is “accepted" or "rejected". DFA accepts or rejects a string when it reads the final symbol in the string.

Transcribed Image Text:The image presents a deterministic finite automaton (DFA) diagram labeled "For DFA."
### Diagram Explanation:
- **States**:
- A total of six states are labeled as A, B, C, D, E, and F.
- Each state is represented by a circle.
- State A is the initial state, as indicated by the incoming arrow without any originating state.
- **Transitions**:
- Transitions between states are indicated by directed arrows. Each arrow is labeled with conditions for transition, noted as ranges or specific numbers such as (0, 1, ..., 9).
- The combination of labeled arrows and states depicts the possible paths within the DFA.
- **State B, C**:
- Indicates an equivalence or grouping of states B and C.
- Transition to states B or C from A occurs if input is any digit from 0 to 9.
- There is a loop on states B, C, allowing transitions within itself for inputs 0 to 9.
- **State D**:
- Incoming transitions labeled with specific symbols (+, ^, Ø) from states B and C.
- Outgoing transition to state E for inputs 0 to 9 and outward transitions for +, ^, Ø.
- **State E**:
- Transition from D to E for inputs 0 to 9.
- Loop back to itself for inputs 0, 1, 2, ..., 9.
- Transition back to states B, C for inputs Ø.
- Additional transitions to F from E.
- **State F**:
- Loop back to itself for the transition input labeled (+, Ø, 0) and (0, 1, 2, ..., 9).
- Additional outgoing transitions to other states.
This DFA offers insights into computations through the states based on defined transition inputs, illustrating pathways that a given sequence of inputs might follow.
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