Category: Programming

Performant implementation of pagination on Cartesian products

In this post we’ll tackle the following puzzle:

We are given two arrays, one with adjectives A and another one with nouns N. A combined list is A \times N which is the Cartesian product between the two arrays. We want to build a performant way to get specific a subarray of A \times N of arbitrary size at a specific page.

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Towards Hoare logic for a small imperative language in Haskell

Recently I finished Logical Foundations, and I have to admit it was an excellent read. This post is directly inspired by the Simple Imperative Programs section of the same book.

What is an imperative programming language? Well, nowadays they run the world. C, Python, JavaScript, PHP – you name it – we all write code in them using imperative style; that is, we command the computer and tell it what to do and how to do it. The mathematical language is very unlike this – it is more declarative rather than imperative – it doesn’t care about the how.

I’ve always been fascinated by mathematical proofs, especially the mechanical part around them because computers are directly involved in this case. Hoare logic is one of those systems that allows us to mechanically reason about computer programs.

We will implement a small imperative language together with (a very simple) Hoare Logic that will allow us to reason about programs in this imperative language.

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Haskell memoization and evaluation model

I am tackling the Advent of Code challenges in Haskell. In particular, Advent of Code #10 was fun (spoilers clicking on that link, but no spoilers in this blog post itself). Part two required using memoization to be solved, and I had already used memoization in other programming languages but not in Haskell. So I learned the hows and the whys of memoization in Haskell – thus the reason why this article exists.

In order to learn about memoization in Haskell, I did a quick Google and it led me the Memoization article on the Haskell Wiki. That article is good, but it only explains the how, not the why. I will cover both how and why in this blog post.

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