Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Jump to bottom

Discrete cartesian theories #241

Open
epatters opened this issue Nov 3, 2024 · 0 comments
Open

Discrete cartesian theories #241

epatters opened this issue Nov 3, 2024 · 0 comments
Labels
core Rust core for categorical logic and general computation enhancement New feature or request

Comments

@epatters
Copy link
Member

epatters commented Nov 3, 2024 •
edited
Loading

A discrete cartesian theory is a cartesian double theory that is "vertically trivial": its only arrows and cells are structure maps between products. Thus, the vertical structure can be neglected.

Analogous to how a discrete double theory is specified by a category (its category of objects and proarrows), a discrete cartesian theory is specified by a monoidal category. Implement a data structure DiscreteCartesianTheory as a newtype wrapper around a monoidal category.

Depends on #242.
@epatters epatters added core Rust core for categorical logic and general computation enhancement New feature or request labels Nov 3, 2024
@epatters epatters moved this to Backlog in Decapodes Demo 2014-12 Nov 3, 2024
@epatters epatters mentioned this issue Nov 4, 2024
Open
@epatters epatters mentioned this issue Nov 13, 2024
Open
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Assignees
No one assigned
Labels
core Rust core for categorical logic and general computation enhancement New feature or request
Projects
None yet
Milestone
No milestone
Development

No branches or pull requests
1 participant
@epatters