I've been a bit anxious about the pace of progress these last three weeks. I wanted to strike a balance between making practical progress and having a sound basis. This last week, I struggled with breaking from structured programming. * What do algebraic effects buy you? * What is the return value

This past week, I worked through more confusion on my part. * Consolidated the representation of an algebraic effect with the React-like components (Fibers) * Worked out a solution for resuming fibers after getting a result back from from the algebraic effect. (Then block) * Use a data description of all cells (Epx)

Last week, I merged the runtime worker into the kernel worker. Originally, I wanted that to run multiple kernels at once, so users can run languages in a mix of cells, or they can run more than one cell in parallel. It was too hard to trace execution over a

I fell short this week in that I didn't do what I said I was going to do. Instead, of writing code, I went down the incremental rabbit hole. It was innocuous at first, but ended up being a full deep dive, mostly into the work of Steven Wittens (aka

For a while now, I've been circling the drain on the Tools for Thought space and all the topics related to it. One large topic is reactivity, and not too far behind is incremental computation. They're two sides to a coin, so it's hard to disentangle them from each other.

I spent most of the week getting a basic algebraic effects runtime working. The initial version is single-threaded, synchronous, no typing, with a single yield from handlers. For now, it's good enough for building the proverbial skateboard. Only during implementation did I run into design questions I wouldn't have had

My progress on Crafting Interpreters halted when I was researching how Algebraic Effects were implemented, once I realized that I might not need all the gory details. The part I wanted to get to was understanding how closures were implemented, especially if they were relevant to getting Algebraic Effects to

The notebook that I want to build and use has pure functional cells. Functional cells are where the output only depends on the input. * No need to figure out the correct execution order for the notebook cells to get it in a working state. * For any change, only dependent cells

I spent the last month doing some contract work, both to pay the bills and get some perspective on how web devs are working nowadays. I've been away for about two years and some things have changed. I worked on a Next.js stack, and I'm honestly a little horrified

As part of biasing towards action, I thought it was time to reimplement the Prolly Tree in Zig. I wanted to focus on being cache-friendly this time, now that I have lower-level control. But that resulted in a deep dive into data-oriented programming. The question is how to represent a

My adherence to immutability has put me on the hard path for everything so far. Not just for the unicit Prolly tree, but also for the CRDT. Most practical CRDT libraries use an op-based CRDT or a delta-based CRDT, but many do not keep the entire history around. I think

I started working on making an LLM Zine. Not to worry, the work on the database is still in the works, but this has been a burgeoning interest and opportunity. LLMs are a fundamental technological breakthrough, and the effects of this technology will take at least a decade to work

I've now implemented an Op-based and a Pure op-based CRDT. I couldn't quite make the leap before to merkle-based CRDTs. While vectors clocks are mechanically simple, I wasn't quite sure how they mapped to a merkle-DAG node if replica IDs weren't available. After seeing them in action, I'm fairly certain

This continues my exploration into CRDTs, beyond the typical tutorials. The more I looked, the more threads there were to pull on. I currently have a couple of lines of questioning to answer: * How do we compose CRDTs so they both converge to a single state without coordination but with

After the implementation of the Prolly Tree, I set about writing an immutable map. It was pretty straightforward as most of the heavy lifting is done by the Prolly Tree implementation. The immutable map just keeps a simple list of roots after every change. There are a bunch of improvements

It took a long time, but the incremental insert for a Prolly Tree is finally done. I don't think I've ever spent this long as such a little part of code. The two aspects that had me struggling were the bottom-up breadth-first traversal, and how to replace the swath of

The punchline first: the incremental insert is finally done on the Prolly Tree. I don't think I've ever spent so much time on such a small, core piece of code. It was also a lesson for me to lean into the struggle and talk about it. Last time, I talked

A problem was that traversal in a layer would be backward. I'd need to traverse left-to-right to match the build process when building the Prolly Tree from scratch. No problem, I'll just loop through the children backward when processing top-down.

I've been stuck on the incremental insertion of a key in a Prolly Tree, and feeling like I'm in a bog. The version where a Prolly Tree is built from scratch was relatively straightforward. I was able to write it in a day. The incremental version has undergone four or

Last week, I built Prolly Trees from scratch and probed some of its properties. This week, I started building a Prolly Tree incrementally, by inserting one key at a time. It was more challenging than I suspected at first glance, seeing as I implemented it three times. In a typical

Alright, party people. This week I went back to reimplementing Prolly Trees. I wanted to finish out the Lattice Merkle Tree. But given that my goals aren't to just fiddle around in applied research and Prolly Trees already work, I reimplemented Prolly Trees from scratch. I was delighted that the

In Lab note #029 [https://interjectedfuture.com/lab-notes/lab-notes-029-balancing-nodes-in-a-unicit-tree/] , I was thinking about a different way to construct a unicit tree. Can we create both a description of the splits in a tree and a comparator that would make it a partially ordered set? And with that partially ordered set

In my previous lab note #028 [https://interjectedfuture.com/lab-notes/lab-note-028-consistent-splitting-for-node-sizes/] , I was worried that Prolly trees [https://github.com/attic-labs/noms/blob/master/doc/intro.md#prolly-trees-probabilistic-b-trees] were not unicit. When I inserted keys in different orders, there was a small chance that splits would propagate to the end

Last time [https://interjectedfuture.com/lab-notes/lab-note-028-consistent-splitting-for-node-sizes/] , I found balancing nodes seemed to be in conflict with the property of a unicit tree. A balanced tree is desirable for efficient queries. A unicit tree is desirable for Merkle Trees for fast equality comparisons. Was there a way to get both?