diff --git a/README.md b/README.md index c69c843..1dc271b 100644 --- a/README.md +++ b/README.md @@ -4,6 +4,8 @@ This repository contains accompanying code for my (upcoming) Bachelor's thesis. Weak timeline : +Upto November 2023: + - [x] Combinatory Algebras - [x] Applicative Structures - [x] Feferman structure on an AS @@ -11,7 +13,7 @@ Weak timeline : - [ ] Computation rule for $\lambda*$ - Combinators - [x] Identity, booleans, if-then-else, pairs, projections, B combinator, some Curry numerals - - [ ] Computation rule for pairs + - [x] Computation rule for pairs - [ ] Fixpoint combinators and primitive recursion combinator - [x] Category of Assemblies - [x] Define assemblies @@ -19,11 +21,25 @@ Weak timeline : - [x] Cartesian closure and similar structure - [x] Binary products - [x] Binary coproducts - - [ ] Universal property + - [x] Universal property - [x] Equalisers - [x] Exponentials - [x] Initial and terminal objects + - [x] Coequalisers (December 2023) + +December 2023: + - [ ] $\mathsf{Asm}$ is regular + - [x] Kernel pairs of morphisms exist + - [x] Kernel pairs have coequalisers + - [ ] Regular epics stable under pullback +- [ ] Exact completion + - [x] Internal equivalence relations of a category + - [ ] Functional relations + +# Writing + +There are some notes relating to the project on my [abstract non-sense](https://github.com/rahulc29/abstract-nonsense) repository. # Build Instructions