# nLab Brouwer-Heyting-Kolmogorov interpretation

### Context

#### Constructivism, Realizability, Computability

intuitionistic mathematics

# Contents

## Idea

The Brouwer-Heyting-Kolmogorov interpretation of intuitionistic logic is a description of proofs of propositions in intuitionistic logic as functions, often computable functions, where it is also called the realizability interpretation.

This is otherwise known as the paradigm of propositions as types and proofs as programs. See there for more

## References

Links to many papers on realizability and related topics may be found here.