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Fixed-point logic is a type of logical framework that is used in computer science and mathematical logic, particularly in the context of formal verification, database theory, and descriptive complexity. It provides a means to express properties of structures in a way that captures notions of computational complexity and expressibility. ### Key Characteristics of Fixed-point Logic: 1. **Syntax**: Fixed-point logics extend first-order logic with fixed-point operators.

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  1. Predicate logic
  2. Mathematical logic
  3. Fields of mathematics
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