Proof mining

In proof theory, a branch of mathematical logic, proof mining (or proof unwinding) is a research program that studies or analyzes formalized proofs, especially in analysis, to obtain explicit bounds, ranges 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.

## References

1. ↑ Ulrich Kohlenbach (2008). Applied Proof Theory: Proof Interpretations and Their Use in Mathematics. Springer Verlag, Berlin. pp. 1-536. https://archive.org/details/appliedprooftheo00kohl.

## Further reading

* 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

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