Lectures onType Theory
Chapter 219
Chapter 219OptionalScaffold

Guarded Cubical Type Theory

Prerequisites. Direct starred prerequisites: Chapter 58. No later core chapter depends on this route.

Remark 219.1

Draft status. This chapter is a scaffold.

Opening obstruction

Guarded recursion supplies delayed fixed points and cubical paths supply extensional equality, but combining them requires clocks to commute coherently with composition.

Development contract

Develop the published guarded-cubical syntax and model, prove its fixed-point/path principles and stated canonicity or consistency boundary, and keep it separate from ordinary Cartesian cubical theory.

Search the book

Type to search the local edition.