Agda
promises-spec
Agda | promises-spec | |
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27 | 22 | |
2,388 | 1,832 | |
1.0% | 0.3% | |
9.8 | 0.0 | |
6 days ago | 10 months ago | |
Haskell | ||
MIT License | Creative Commons Zero v1.0 Universal |
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Agda
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Types versus sets (and what about categories?)
This was recently deemed inappropriate:
"Bye bye Set"
"Set and Prop are removed as keywords"
https://github.com/agda/agda/pull/4629
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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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What can Category Theory do?
Haskell and Agda are probably the most obvious examples. Ocaml too, but it is much older, so its type system is not as categorical. There is also Idris, which is not as well-known but is very cool.
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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.
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Amendmend proposal: Changed syntax for Or patterns
Does this come with plans to separately unify the body with each of the contexts induced by matching on each of the respective patterns (similar to what’s discussed here), or will it behave like the _ pattern and use only the most general context?
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Functional Programming and Maths <|> How can a code monkey learn Agda?
That's absolutely untrue. From the horse's mouth:
- Doom emacs and agda-mode
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FP language idea - would this is possible to infer and type check?
Agda has the so-called mixfix operators (which are powerful enough to cover pre/in/postfix cases with an arbitrary number of arguments), check that out: - https://agda.readthedocs.io/en/v2.6.1/language/mixfix-operators.html - https://github.com/agda/agda/blob/master/examples/Introduction/Operators.agda - https://github.com/agda/agda-stdlib/blob/master/src/Data/Product/Base.agda
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Best Programming Language for Computational Proof
Coq, Agda, Lean, Isabelle, and probably some others which are not coming to my mind at the moment, but those would be considered the major ones.
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Do you use Idris or Coq, and why?
Funny that you say this, because there are some obvious long standing open feature requests with looking up the type of the term under cursor — № 4295 and № 516. I am not blaming anyone in particular — this is the way it is. I wish I could find time to rewrite the proof search engine (how hard can it be), but I am already buried under a pile of other commitments and a good chunk of overwhelming sadness.
promises-spec
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Implement Promises/A+ from scratch
Today, I tried implementing Promises/A+ from scratch to test my coding skill. In the process, I’ve crafted this guide to share my insights and experiences with those who share a similar interest. Without further ado, let’s dive in.
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Using XPath in 2023
That made me chuckle.
For those not familiar with the promise design controversy:
http://brianmckenna.org/blog/category_theory_promisesaplus
https://github.com/promises-aplus/constructor-spec/issues/24
https://github.com/promises-aplus/promises-spec/issues/94
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Why is JavaScript so hated?
If you really want to go down the rabbit hole on this one, start here
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What the imperative shell of an Functional Core/Imperative Shell language looks like
Advantage 1, nesting, is the most important here, and it's often the most-overlooked advantage. Overlooking nesting is how Promises in Javascript got to be fundamentally broken.
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[AskJS] Is JavaScript missing some built-in methods?
Have you read the infamous GitHub thread where people tried to fix this before it got finalized? It's quite a trip
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This typo lasted several pomodoro sessions.
1.) JS implementation of Promise is not a monad. See this StackOverflow answer or this GitHub discussion for more details
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How to implement Promise in a FAANG interview
In this article, we will go over how to implement a basic version of a promise during a FAANG interview. The standard for promise implementation is called A+, but it includes a huge amount of details, making it almost impossible to implement all of them during a one-hour coding interview. Therefore, we will focus on implementing a basic variation that should be enough to show the interviewer your solving skills.
- what object
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Oopsy Poopsy ahahaha *sharts uncontrollably*
Hey, at least you weren't these guys: https://github.com/promises-aplus/promises-spec/issues/94
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Haskell is the greatest programming language of all time ... the rational adult in a room full of children ... When I program in Haskell, I am in utopia. I am in a different world than 99.9% of what I see posted on Reddit.
Total carnage
What are some alternatives?
lean - Lean Theorem Prover
proposal-symbol-thenable
coq - Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs.
q - A promise library for JavaScript
open-typerep - Open type representations and dynamic types
zx - A tool for writing better scripts
HoleyMonoid - Automatically exported from code.google.com/p/monoid-cont
proposal-set-methods - Proposal for new Set methods in JS
distributive - Dual Traversable
cats-effect - The pure asynchronous runtime for Scala
lean4 - Lean 4 programming language and theorem prover
purescript - A strongly-typed language that compiles to JavaScript