#
nLab

modal hyperdoctrine

Contents
### Context

#### Modalities, Closure and Reflection

# Contents

## Idea

A **modal hyperdoctrine** is a framework for modal logic in the presence of different contexts.

It is an hyperdoctrine that is equipped with a compatible modal operator, often a compatible closure operator, hence a universal closure operator.

## References

Around p. 597 of

- P. Blacksburn, J. van Benthem, F. Wolter,
*Handbook of modal logic*, Studies in Logic and Practical reasoning volume 3 (2007)

p. 43 of

- M. Kracht, O. Kutz,
*Logically Possible Worlds and Counterpart Semantics for Modal Logic*, (pdf)

Last revised on January 29, 2021 at 15:33:04.
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