learn-you-a-haskell
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learn-you-a-haskell
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Revisiting Haskell after 10 years
The LYAH is by far my favorite book for beginners, however, it lacks exercises for you to practice, but you can still move along typing and playing with the examples shown, and it’s free to read online. It’s outdated but most of the code may still be valid with little to no changes.
- [2023 Day 09] How today felt
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Should I Haskell or OCaml?
Learn You a Haskell For Great Good! is also a really good resource:
https://learnyouahaskell.com/
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How late is too late to change tech stacks?
If you've never done functional, Learn You Some Erlang For Great Good was a very fun read, and I'll always love Learn You a Haskell for Great Good for showing me everything imperative languages kinda gloss over magically, as well as why I should never take a job working in Haskell!
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So Hows the Hackathon Going?
you start that way, but don't do http://learnyouahaskell.com really?
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I want to learn fn programming
Learn You a Haskell for Great Good!
- help i just discovered haskell 38 hours ago and i think i love it
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Haskell book after Get Programming with Haskell?
I enjoyed http://learnyouahaskell.com/ which is available in print and digital. Fun and lighthearted while still teaching reasonable depth. YMMV.
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Why I decided to learn (and teach) Clojure
Elm is a statically typed language inspired by Haskell. The natural step would be to use Elm on the frontend and Haskell on the backend. And that's what I tried to do. I read with some difficulty the Learn You a Haskell for Great Good! book (available for free here) and learned a lot of cool stuff. But creating a complete backend using Haskell proved to be more than I could chew. So I decided to look for alternatives...
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I’m trying coding
Here y’go!
coq
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Change of Name: Coq –> The Rocq Prover
The page summarizing the considered new names and their pros/cons is interesting: https://github.com/coq/coq/wiki/Alternative-names
Naming is hard...
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The First Stable Release of a Rust-Rewrite Sudo Implementation
Are those more important than, say:
- Proven with Coq, a formal proof management system: https://coq.inria.fr/
See in the real world: https://aws.amazon.com/security/provable-security/
And check out Computer-Aided Verification (CAV).
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Why Mathematical Proof Is a Social Compact
To be ruthlessly, uselessly pedantic - after all, we're mathematicians - there's reasonable definitions of "academic" where logical unsoundness is still academic if it never interfered with the reasoning behind any proofs of interest ;)
But: so long as we're accepting that unsoundness in your checker or its underlying theory are intrinsically deal breakers, there's definitely a long history of this, perhaps more somewhat more relevant than the HM example, since no proof checkers of note, AFAIK, have incorporated mutation into their type theory.
For one thing, the implementation can very easily have bugs. Coq itself certainly has had soundness bugs occasionally [0]. I'm sure Agda, Lean, Idris, etc. have too, but I've followed them less closely.
But even the underlying mathematics have been tricky. Girard's Paradox broke Martin-Löf's type theory, which is why in these dependently typed proof assistants you have to deal with the bizarre "Tower of Universes"; and Girard's Paradox is an analogue of Russell's Paradox which broke more naive set theories. And then Russell himself and his system of universal mathematics was very famously struck down by Gödel.
But we've definitely gotten it right this time...
[0] https://github.com/coq/coq/issues/4294
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In Which I Claim Rich Hickey Is Wrong
Dafny and Whiley are two examples with explicit verification support. Idris and other dependently typed languages should all be rich enough to express the required predicate but might not necessarily be able to accept a reasonable implementation as proof. Isabelle, Lean, Coq, and other theorem provers definitely can express the capability but aren't going to churn out much in the way of executable programs; they're more useful to guide an implementation in a more practical functional language but then the proof is separated from the implementation, and you could also use tools like TLA+.
https://dafny.org/
https://whiley.org/
https://www.idris-lang.org/
https://isabelle.in.tum.de/
https://leanprover.github.io/
https://coq.inria.fr/
http://lamport.azurewebsites.net/tla/tla.html
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If given a list of properties/definitions and relationship between them, could a machine come up with (mostly senseless, but) true implications?
Still, there are many useful tools based on these ideas, used by programmers and mathematicians alike. What you describe sounds rather like Datalog (e.g. Soufflé Datalog), where you supply some rules and an initial fact, and the system repeatedly expands out the set of facts until nothing new can be derived. (This has to be finite, if you want to get anywhere.) In Prolog (e.g. SWI Prolog) you also supply a set of rules and facts, but instead of a fact as your starting point, you give a query containing some unknown variables, and the system tries to find an assignment of the variables that proves the query. And finally there is a rich array of theorem provers and proof assistants such as Agda, Coq, Lean, and Twelf, which can all be used to help check your reasoning or explore new ideas.
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Functional Programming in Coq
What ever happened to the effort [1] to rename Coq in order to make it less offensive? There were a number of excellent proposals [2] that seemed to die on the vine.
[1] https://github.com/coq/coq/wiki/Alternative-names
[2] https://github.com/coq/coq/wiki/Alternative-names#c%E1%B5%A3...
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Mark Petruska has requested 250000 Algos for the development of a Coq-avm library for AVM version 8
Information about the Coq proof assistant: https://coq.inria.fr/ , https://en.wikipedia.org/wiki/Coq
- How are people like Andrew Wiles and Grigori Perelman able to work on popular problems for years without others/the research community discovering the same breakthroughs? Is it just luck?
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Basic SAT model of x86 instructions using Z3, autogenerated from Intel docs
This type of thing can help you formally verify code.
So, if your proof is correct, and your description of the (language/CPU) is correct, you can prove the code does what you think it does.
Formal proof systems are still growing up, though, and they are still pretty hard to use. See Coq for an introduction: https://coq.inria.fr/
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What are the current hot topics in type theory and static analysis?
Most of the proof assistants out there: Lean, Coq, Dafny, Isabelle, F*, Idris 2, and Agda. And the main concepts are dependent types, Homotopy Type Theory AKA HoTT, and Category Theory. Warning: HoTT and Category Theory are really dense, you're going to really need to research them.
What are some alternatives?
learn4haskell - 👩🏫 👨🏫 Learn Haskell basics in 4 pull requests
coc.nvim - Nodejs extension host for vim & neovim, load extensions like VSCode and host language servers.
plutus-pioneer-program - This repository hosts the lectures of the Plutus Pioneers Program. This program is a training course that the IOG Education Team provides to recruit and train software developers in Plutus, the native smart contract language for the Cardano ecosystem.
kok.nvim - Fast as FUCK nvim completion. SQLite, concurrent scheduler, hundreds of hours of optimization.
learn-you-a-haskell-notebook - Jupyter adaptation of Learn You a Haskell for Great Good!
FStar - A Proof-oriented Programming Language
algebra-driven-design - Source material for Algebra-Driven Design
Agda - Agda is a dependently typed programming language / interactive theorem prover.
integrant - Micro-framework for data-driven architecture
lean4 - Lean 4 programming language and theorem prover
developer-portal - The Cardano Developer Portal
tlaplus - TLC is a model checker for specifications written in TLA+. The TLA+Toolbox is an IDE for TLA+.