The project (algae) is a algebraic specification tool. This means it is intended to allow you to write algebraic specs, in which you define your data types (sorts), operations (ops), and the the equations chatacterizing the operations (axioms). It is a formal specification technique. I designed because I want something to pratice/improve my proof theory skills, so, distinct from Lean4 or Roqc, all the proof information is visible in the surface syntax, but it still lack ergonomics.
About the tutorial and the game, I want it to be "proof theory introction"-like but the generated proofs are really not as good as I want they to be. The dificult progressions does not exist, the help sometimes does not help, some lemmas provide the proof in their arguments. To fix that I will need to go proof by proof and fix the help manually and also work on the progression. The AI is terrible at generating the proofs (yes it was made with AI help but I have formal specs experience).
About the game, it may still be buggy, feel free to open issues at https://github.com/dhilst/algae/issues, and I will fix it. I want to provide a cool playground for ppl to learn proof theory and for me to pratice it too.
I sort of reverse engineered the first couple riddles (the help menu helped too) before really getting the logic here.
What I gathered:
- the paramaeters in lemma banish() are "given"
- the statement right after lemma banish() is what we want to prove
- all "wip" needs to replaced by something
- blocks need to be finished with "qed;"
I had the exact opposite experience. It doesn't teach the basics needed to even solve the first puzzle. Which language are we even writing in? Clicking help explains what exactly to do but not why, as well as lots of rules with unexplained terminology.
To make it clear that it is with an RPG (role playing game) it needs an "an" in the title.
There is a tutorial: https://dhilst.github.io/algae
The project (algae) is a algebraic specification tool. This means it is intended to allow you to write algebraic specs, in which you define your data types (sorts), operations (ops), and the the equations chatacterizing the operations (axioms). It is a formal specification technique. I designed because I want something to pratice/improve my proof theory skills, so, distinct from Lean4 or Roqc, all the proof information is visible in the surface syntax, but it still lack ergonomics.
About the tutorial and the game, I want it to be "proof theory introction"-like but the generated proofs are really not as good as I want they to be. The dificult progressions does not exist, the help sometimes does not help, some lemmas provide the proof in their arguments. To fix that I will need to go proof by proof and fix the help manually and also work on the progression. The AI is terrible at generating the proofs (yes it was made with AI help but I have formal specs experience).
About the game, it may still be buggy, feel free to open issues at https://github.com/dhilst/algae/issues, and I will fix it. I want to provide a cool playground for ppl to learn proof theory and for me to pratice it too.
What I gathered:
- the paramaeters in lemma banish() are "given" - the statement right after lemma banish() is what we want to prove - all "wip" needs to replaced by something - blocks need to be finished with "qed;"
From there it's using the available tools.
Also, perfectly playable at mobile (at least a couple of first monsters).
https://dhilst.github.io/algae/
Edit: after fighting enough other sphinxes, the first one loads, but the west-most fails with an explicit error message:
> This challenge failed to load. Retreating.
On the next floor, the sphinx over the exit stairs fails, preventing me from progressing.