Proof mining

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In proof theory, a branch of mathematical logic, proof mining (or unwinding) is a research program that analyzes formalized proofs, especially in analysis, to obtain explicit bounds or rates of convergence from proofs that, when expressed in natural language, appear to be nonconstructive.[1] This research has led to improved results in analysis obtained from the analysis of classical proofs.


  1. ^ Ulrich Kohlenbach (2008). Applied Proof Theory: Proof Interpretations and Their Use in Mathematics. Springer Verlag, Berlin. pp. 1–536. 
  • Ulrich Kohlenbach and Paulo Oliva, "Proof Mining: A systematic way of analysing proofs in mathematics", Proc. Steklov Inst. Math, 242:136–164, 2003
  • Paulo Oliva, "Proof Mining in Subsystems of Analysis", BRICS PhD thesis citeseer