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4d742b6b88 Added first session notes 2025-03-13 19:36:47 +01:00
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2e97717395 Unified design of main readmes 2025-03-13 19:36:31 +01:00
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# learning-languages
# Learning new languages and documenting my journey
Repository which documents my journey in learning new languages. Repository which documents my journey in learning new languages.
Currently learning: Currently learning:
<style>
#rust {
filter: invert(1);
}
</style>
<p align="center"> <p align="center">
<span id="rust">
<img src="https://raw.githubusercontent.com/devicons/devicon/master/icons/rust/rust-original.svg" alt="Rust" width="50" height="50"/> <img src="https://raw.githubusercontent.com/devicons/devicon/master/icons/rust/rust-original.svg" alt="Rust" width="50" height="50"/>
</span>
<img src="https://raw.githubusercontent.com/devicons/devicon/master/icons/haskell/haskell-original.svg" alt="Haskell" width="50" height="50"/> <img src="https://raw.githubusercontent.com/devicons/devicon/master/icons/haskell/haskell-original.svg" alt="Haskell" width="50" height="50"/>
<img src="https://raw.githubusercontent.com/devicons/devicon/master/icons/swift/swift-original.svg" alt="Swift" width="50" height="50"/> <img src="https://raw.githubusercontent.com/devicons/devicon/master/icons/swift/swift-original.svg" alt="Swift" width="50" height="50"/>
<img src="https://dashboard.snapcraft.io/site_media/appmedia/2021/01/coq.png" alt="Coq" width="50" height="50"/> <img src="https://dashboard.snapcraft.io/site_media/appmedia/2021/01/coq.png" alt="Coq" width="50" height="50"/>

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<p align = "center"> <p align = "center">
<img src = "https://upload.wikimedia.org/wikipedia/commons/d/d8/Coq_logo.png" width = "100"> <img src = "https://calebstanford.com/img/2018/coq-vector-logo/coq-logo-large.png" width = "200">
</p> </p>
# Learn Coq with me # Introduction
<a href = "https://github.com/alhassy/CoqCheatSheet/blob/master/CheatSheet.pdf"> <a href = "https://github.com/alhassy/CoqCheatSheet/blob/master/CheatSheet.pdf">
<img src = "https://img.shields.io/badge/-CheatSheet-blue"> <img src = "https://img.shields.io/badge/-CheatSheet-blue">
</a> </a>
@ -18,12 +18,12 @@ When I feel confident enough, I will film a 1-2h tutorial on Coq and attach it t
<!-- - [Software Foundations](https://softwarefoundations.cis.upenn.edu/current/index.html) by Benjamin C. Pierce et al. --> <!-- - [Software Foundations](https://softwarefoundations.cis.upenn.edu/current/index.html) by Benjamin C. Pierce et al. -->
## ToC ## ToC
- [Learn Coq with me](#learn-coq-with-me) - [Introduction](#introduction)
- [ToC](#toc) - [ToC](#toc)
- [Motivation](#motivation) - [Motivation](#motivation)
- [Installation](#installation) - [Installation](#installation)
- [Basic Coq](#basic-coq) - [Basic Coq](#basic-coq)
- [Introduction](#introduction) - [Introduction](#introduction-1)
- [Comment on semantics](#comment-on-semantics) - [Comment on semantics](#comment-on-semantics)
- [Type theory](#type-theory) - [Type theory](#type-theory)
- [Basic Concepts + Syntax](#basic-concepts--syntax) - [Basic Concepts + Syntax](#basic-concepts--syntax)

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<p align = "center">
<img src="https://raw.githubusercontent.com/devicons/devicon/master/icons/haskell/haskell-original.svg" alt="Haskell" width="200"/>
</p>
# Introduction
After miserably failing my Functional Programming exam and some soul searching, I realized that I never really learned Haskell nor did I ever really understand functional programming. So, I decided to learn Haskell properly. This repository will document my journey in learning Haskell.
With the help of some friends!
This is going to be structured in a different way than my other repositories. I will have a `sessions` folder where I will document my thought process and the things I learned while during my "lessons". Maybe do Haskell notebooks? I don't know yet.
This is the larger, more general README, which will house the main takeaways/revelations of the sessions.
## ToC
- [Introduction](#introduction)
- [ToC](#toc)
- [Books and resources](#books-and-resources)
- [13th of March - Introduction](#13th-of-march---introduction)
# Books and resources
- [Haskell Programming from first principles](http://haskellbook.com/)
- [Learn you a Haskell for great good](http://learnyouahaskell.com/)
## [13th of March - Introduction](sessions/13_03/notes.md)
Big question:
> Why is the singly-linked list the most common data structure in functional programming?
Because it is the simplest recursive data structure. It is a recursive data structure because it is defined in terms of itself. It is a singly-linked list because it has a head and a tail. The head is the first element of the list and the tail is the rest of the list.
<p align="center">
<img src="assets/list.png" alt="lists" width="700"/>
</p>
> But why not a tree?
The tree is simply too complex. Linked lists are easy.

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## Progress report - confidence scale
In the first meeting, we went through the structure of my exam on a very surface level.
I reached the conclusion that, although I have a vague idea of what the topics are, I don't have a deep understanding of them. All of my knowledge is very superficial.
Hence, this progress report will be a preamble of each session, where I will list the topics and the corresponding confidence I have in them.
The scale of my confidence in the topics:
1. 😎 - Very confident
2. 😊 - Confident
3. 😐 - Can solve, no intuition
4. 😕 - No idea
| Topic | Description | Confidence |
|-------|-------------|------------|
| Signatures | Checking whether the expression types are correct | 😊 |
| Programming | Writing code to solve an algorithmic problem | 😐 |
| Higher order functions | Demonstrate understanding of higher order functions, usually by chaining them | 😐 |
| List comprehensions | Demonstrate understanding of list comprehensions | 😐 |
| Recursion/infinite lists | Infinitely generating lists, usually by recursion and/or list comprehensions | 😕 |
| ADTs | Algebraic Data Types, usually defining a data type and writing functions that operate on it | 😕 |
| Proof on lists | Proving properties of functions that operate on lists | 😕 |
| Proof on trees/ADTs | Proving properties of functions that operate on trees or ADTs | 😕 |
## Basics
### Signatures
Example given - the `.` operator a.k.a. $f \circ g = f(g(x))$
```haskell
(.) :: (b -> c) -> (a -> b) -> a -> c
f . g = \x -> f (g x)
```
Why? Because the type of `f` is `b -> c`, the type of `g` is `a -> b`, and the type of `x` is `a`. Hence, the type of the output is `c`.
### Stack and heap
**What's the stack?**
> The stack is a data structure that stores information about the active subroutines of a computer program. It is used to store the return address of the function, the local variables of the function, and the parameters passed to the function.
> This is like CPU registers, but for functions.
**What's the heap?**
> The heap is a region of memory that is not managed automatically for you. This is a large pool of memory from which you can request blocks of memory.
> This is like the RAM of the computer.
**What's the difference between the stack and the heap?**
> The stack is used for static memory allocation and the heap is used for dynamic memory allocation, both stored in the computer's RAM.
i.e. in C:
```c
int main() {
int x = 5; // Stack
int* y = malloc(sizeof(int)); // Heap
}
```
**What's the difference between the stack and the heap in Haskell?**
> In Haskell, the stack is used for function calls and the heap is used for storing data.
> This is because Haskell is a lazy language, so it doesn't evaluate the function calls immediately. Instead, it stores them in the stack and evaluates them when needed.
> The heap is used for storing data because Haskell is a functional language, so it doesn't have mutable variables. Hence, it stores the data in the heap.
> This is why Haskell is a pure language.
### Recursion
Recursion in Haskell is very similar to recursion in other languages. The only difference is that Haskell is a lazy language, so it doesn't evaluate the recursion immediately. Instead, it stores the recursion in the stack and evaluates it when needed.
Tail recursion is a special case of recursion where the recursive call is the last thing in the function.
Example of non-tail recursion:
```haskell
fib :: Int -> Int
fib 0 = 0
fib 1 = 1
fib n = fib (n-1) + fib (n-2)
```
To make the `fib` function tail recursive, we can use an accumulator[^1]
```haskell
fib :: Int -> Int
fib n = go n 0 1
where
go 0 a b = a
go n a b = go (n-1) b (a+b)
```
### `map, foldr, foldl, filter, zip`
These are higher order functions in Haskell. They are used to operate on lists.
`map` applies a function to each element of a list.
```haskell
map :: (a -> b) -> [a] -> [b]
map f [] = []
map f (x:xs) = f x : map f xs
```
<p align="center">
<img src="folds.png" alt="folds" width="700"/>
</p>
`foldr` is a right fold. It is used to reduce a list to a single value.
```haskell
foldr :: (a -> b -> b) -> b -> [a] -> b
foldr f z [] = z
foldr f z (x:xs) = f x (foldr f z xs)
```
`foldl` is a left fold. It is used to reduce a list to a single value.
```haskell
foldl :: (b -> a -> b) -> b -> [a] -> b
foldl f z [] = z
foldl f z (x:xs) = foldl f (f z x) xs
```
`filter` is used to filter a list based on a predicate.
```haskell
filter :: (a -> Bool) -> [a] -> [a]
filter p [] = []
filter p (x:xs) = if p x then x : filter p xs else filter p xs
```
`zip` is used to combine two lists into a list of tuples.
```haskell
zip :: [a] -> [b] -> [(a, b)]
zip [] _ = []
zip _ [] = []
zip (x:xs) (y:ys) = (x, y) : zip xs ys
```
[^1]: This is a common pattern in functional programming. The idea is to pass an accumulator to the function and update it in each recursive call. This is to "circumvent" immutability by introducing a way to store the "state" of the function.

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<style>
/* Invert rust logo */
#rust img {
filter: invert(1);
}
</style>
<p align = "center">
<span id=rust>
<img src="https://raw.githubusercontent.com/devicons/devicon/master/icons/rust/rust-original.svg" alt="Rust" width="200"/>
</span>
</p>
# Introduction
On my journe to memory safety and due to lots of ridicule from my friends about daily-driving Python, I am currently looking for a systems programming language that is memory safe and has a good ecosystem (i.e. is not hated by everyone). In other words, I am looking for a *practically useful* language that is not Python or C++.
Rust seems to be the perfect fit for this. This repository will document my journey in learning Rust.
The process of learning this language is going to be quite different from my other repositories. I will try to design an embedded project in Rust, instead of focusing on algorithmic problems (i.e. practical problems). This will help me understand the language better and also give me a taste of what it is like to work with Rust in a real-world scenario.
I'm going to try and ***actually document*** my process instead of my usual cheat-sheet style.
## ToC
- [Introduction](#introduction)
- [ToC](#toc)

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<img src="https://raw.githubusercontent.com/devicons/devicon/master/icons/swift/swift-original.svg" alt="Swift" width="250"/> <img src="https://raw.githubusercontent.com/devicons/devicon/master/icons/swift/swift-original.svg" alt="Swift" width="250"/>
</p> </p>
# Introduction
I watched a Swift lecture by an apple guy at FOSDEM 2025. It was pretty cool. Inspired me to think about memory safety, and, needless to say, learn Swift.
## ToC
- [Introduction](#introduction)
- [ToC](#toc)
- [General Notes](#general-notes) - [General Notes](#general-notes)
- [Swift project](#swift-project) - [Swift project](#swift-project)
- [Package.swift](#packageswift) - [Package.swift](#packageswift)
@ -27,12 +35,11 @@
- [Project-specific Notes](#project-specific-notes) - [Project-specific Notes](#project-specific-notes)
- [Most likely teammates for Software engineering](#most-likely-teammates-for-software-engineering) - [Most likely teammates for Software engineering](#most-likely-teammates-for-software-engineering)
# General Notes # General Notes
There are **NO** semicolons in Swift. The language is designed to be concise and readable. Very pythonic in that sense. There are **NO** semicolons in Swift. The language is designed to be concise and readable. Very pythonic in that sense.
Swift is a statically-typed language. This means that the type of a variable is known at compile time. This is in contrast to dynamically-typed languages like Python, where the type of a variable is determined at runtime. Swift is a statically-typed language. This means that the type of a variable is known at compile time. This is in contrast to dynamically-typed languages like Python, where the type of a variable is determined at runtime. It deals with memory by using Automatic Reference Counting (ARC). This means that the compiler automatically manages memory for us.
Swift deals with memory by using Automatic Reference Counting (ARC). This means that the compiler automatically manages memory for you. This is in contrast to languages like C and C++, where you have to manually manage memory.
Swift is a multi-paradigm language. This means that it supports multiple programming paradigms, such as object-oriented programming, functional programming, and procedural programming. We'll get into this later. Swift is a multi-paradigm language. This means that it supports multiple programming paradigms, such as object-oriented programming, functional programming, and procedural programming. We'll get into this later.