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State Machines
1. Introduction to State Machines
2. Mathematical Foundations
3. Visual Representations
4. Finite Automata
5. Finite State Transducers
6. Advanced State Machine Models
7. Implementation Approaches
8. Practical Applications
9. Analysis and Optimization
Finite Automata
Deterministic Finite Automata
Transition Uniqueness
Formal Definition
Construction Methods
Execution Process
Acceptance Criteria
Language Recognition
Non-deterministic Finite Automata
Multiple Transition Paths
Epsilon Transitions
Formal Definition
Construction Methods
Execution Process
Acceptance Criteria
DFA-NFA Equivalence
Subset Construction Algorithm
Conversion Process
Equivalence Proof
Practical Implications
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3. Visual Representations
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5. Finite State Transducers