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rahulc29 committed Dec 11, 2023
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Expand Up @@ -4,26 +4,42 @@ 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
- [x] Combinatorial completeness
- [ ] 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
- [x] Define the category $\mathsf{Asm}$
- [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

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