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Realizability is a concept in mathematical logic and computer science that connects formal proofs with computational models. It primarily provides a way to interpret mathematical statements not just as abstract entities but also as constructive objects or processes. ### Key Aspects of Realizability: 1. **Formal Systems**: In the context of formal systems, realizability assigns computational content to formulas in logic. For example, a proof of a statement can be thought of as a program that "realizes" that statement.

Ancestors (5)

  1. Constructivism (mathematics)
  2. Mathematical logic
  3. Fields of mathematics
  4. Mathematics
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