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A Hilbert system is a type of formal proof system used in mathematical logic and proof theory. Named after the mathematician David Hilbert, it is characterized by a set of axioms and inference rules that allow for the derivation of logical statements. Hilbert systems are typically structured to provide a framework for proving theorems in propositional logic and first-order logic.

Ancestors (5)

  1. Proof theory
  2. Mathematical logic
  3. Fields of mathematics
  4. Mathematics
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