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03Fxx

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Proof theory and constructive mathematics
  • 03F03 Proof theory, general
  • 03F05 Cut-elimination and normal-form theorems
  • 03F07 Structure of proofs
  • 03F10 Functionals in proof theory
  • 03F15 Recursive ordinals and ordinal notations
  • 03F20 Complexity of proofs
  • 03F25 Relative consistency and interpretations
  • 03F30 First-order arithmetic and fragments
  • 03F35 Second- and higher-order arithmetic and fragments [See also 03B30]
  • 03F40 Gödel numberings in proof theory
  • 03F45 Provability logics and related algebras (e.g., diagonalizable algebras) [See also 03B45, 03G25, 06E25]
  • 03F50 Metamathematics of constructive systems
  • 03F52 Linear logic and other substructural logics [See also 03B47]
  • 03F55 Intuitionistic mathematics
  • 03F60 Constructive and recursive analysis [See also 03B30, 03D45, 26E40, 46S30, 47S30]
  • 03F65 Other constructive mathematics [See also 03D45]
  • 03F99 None of the above, but in this section