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person1980s-present

Klaus Weihrauch

Disciplines:
mathematics
computer science
constructive mathematics

Summary

German mathematician who developed computable analysis — a rigorous treatment of computability for real numbers and continuous functions — and the Weihrauch reducibility hierarchy.

Core Contribution

Computable Analysis: the standard rigorous treatment of computability for analysis — a function is computable if there is a Turing machine computing approximations to its values. Weihrauch degrees: a hierarchy of computational problems in analysis analogous to the polynomial hierarchy in complexity theory.

Notable Works & Achievements

Computable Analysis

Historical Influences

Alan Turing Errett Bishop

Intellectual Lineage

Computability TheoryConstructive Mathematics

Contemporaries & Peers

No recorded contemporaries.

Minds Influenced

Computable Analysis Research

Intellectual Posterity

Computable Analysis Weihrauch Reducibility

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