This is especially important when using proof theory (as often desired) for automated deduction.
He is best known for his work on proof theory and the foundations of natural deduction.
His main work was on the foundations of mathematics, in proof theory.
They occur naturally in proof theory, and were first noticed there (before receiving a name).
In parallel, the foundations of structural proof theory were being founded.
He was one of the founders of proof theory and mathematical logic.
These functions are also important in proof theory.
These finite deductions themselves are often called derivations in proof theory.
This theorem also has important roles in constructive mathematics and proof theory.
This idea led to the study of proof theory.