Language acceptance by Deterministic Finite Automata (DFAs)
Getting Started
The simulation interface consists of three main components:
- DFA State Diagram: A visual representation of the current automaton showing states and transitions
- Input String Panel: Displays the current input string being processed
- Execution Trace: Shows the step-by-step execution history
Available DFA Examples
The simulation includes five pre-configured DFA examples:
- DFA 1: Accepts strings that begin with "01"
- DFA 2: Accepts strings containing exactly three 1s
- DFA 3: Accepts strings that end with "0"
- DFA 4: Accepts strings with at least one 0 and ending with 1
- DFA 5: Accepts strings where the first occurrence of 0 is in a group of at least three consecutive 0s
Step-by-Step Instructions
1. Selecting a DFA
Click the "Change DFA" button to cycle through the five available automata. Each DFA has a description explaining the language it accepts. The current DFA's description is displayed above the state diagram.
2. Choosing Input Strings
Click the "Change Input" button to cycle through different pre-configured test strings for the current DFA. Each DFA comes with multiple example strings that demonstrate both accepted and rejected cases.
3. Understanding the Interface
- Start State: Marked with an incoming arrow and typically labeled "A"
- Accept States: Shown with double circles
- Current State: Highlighted in blue during execution
- Processed Characters: Displayed with a darker background in the input string
- Current Character: Highlighted with a distinct color
4. Stepping Through Execution
Initial Setup
When you load a DFA and input string, the automaton starts in the initial state before processing any characters.
Forward Execution
Click the "Next Step" button to advance the automaton one character at a time:
- The current character is highlighted in the input string
- The automaton transitions to the next state according to the transition function
- Each step is recorded in the execution trace
- The current state is visually highlighted in the diagram
Backward Execution
Click the "Previous" button to step backward through the execution:
- Returns to the previous state
- Removes the last step from the execution trace
- Updates the input string highlighting
5. Interactive Guessing Feature
The simulation includes an interactive quiz mode that helps reinforce learning:
How It Works
- When clicking "Next Step", you may be prompted to guess the next state
- A modal dialog appears showing the current state and character being read
- Select your predicted next state from the available options
- Receive immediate feedback on your guess
Streak System
- Correct guesses increase your current streak
- Your best streak is automatically saved
- Incorrect guesses reset your current streak
- Use the "Reset" button to clear your streak counters
Skip Option
If you're unsure about a transition, you can click "Skip Guess" to proceed without making a prediction, though this will reset your current streak.
6. Reading the Execution Trace
The execution trace panel provides a detailed history of the automaton's execution:
- Each line shows a state transition
- Format: "State X --character--> State Y"
- Special notation for string completion and acceptance/rejection
- Automatically scrolls to show the most recent steps
7. Understanding Results
String Acceptance
- If the automaton ends in an accept state after processing all characters, the string is accepted
- The final trace entry will indicate "String Accepted"
String Rejection
- If the automaton ends in a non-accept state after processing all characters, the string is rejected
- The final trace entry will indicate "String Rejected"