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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
Mathematical Foundations
Formal Definition
State Set
Finite State Collections
State Naming Conventions
Input Alphabet
Input Symbol Definition
Input Encoding Methods
Transition Function
State-Input Mappings
Partial Functions
Total Functions
Initial State
Start State Selection
Reset Behavior
Final States
Accepting State Criteria
Language Recognition Applications
Output Alphabet
Output Symbol Sets
Output Encoding
Output Function
State-Output Mappings
Input-Output Mappings
Output Timing Models
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1. Introduction to State Machines
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3. Visual Representations