pony-tutorial
Agda
pony-tutorial | Agda | |
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5 | 27 | |
305 | 2,378 | |
1.6% | 0.6% | |
7.0 | 9.8 | |
4 days ago | 6 days ago | |
Markdown | Haskell | |
BSD 2-clause "Simplified" License | MIT License |
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pony-tutorial
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Is there a programming language that will blow my mind?
I don't think that there is a book written about Pony, but the tutorial and the list of patterns (WIP) are all you need to learn the language.
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Not well known programming languages with interesting features?
[Pony](https://tutorial.ponylang.io/): actors, reference capabilities, object capabilities.
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Today, Thanks to this sub Reddit. I discovered 3 awesome new languages....
Pony is a relatively young but interesting language with capabilities-security.
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Does such a language already exist ("Rust--")?
Well, depends on how you define ownership. Pony 's type system has reference capabilities which let you define who's allowed to do what to a reference and part of it sort of deals with ownership (along the lines of "this actor is allowed to do Y to the reference, other actors are allowed to do Z"). You can eg. have methods that return an isolated value that guarantees that there are no other references to that value, meaning it's automatically thread safe. You can also define things as vals which says that they are globally immutable, refs which give the current actor read/write capabilities but can't be shared with other actors
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Flix – Next-generation reliable, concise, functional-first programming language
The alternatives are:
- Division must be impure (because it can throw an exception)
- Division must be partial - i.e. return Option[Int].
Both seem worse compared to defining division by zero as zero. Coq, Lean, and Pony do the same. https://github.com/ponylang/pony-tutorial/blob/master/conten...
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.
What are some alternatives?
effekt - A research language with effect handlers and lightweight effect polymorphism
lean - Lean Theorem Prover
sixten - Functional programming with fewer indirections
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.
cooltt - 😎TT
open-typerep - Open type representations and dynamic types
felix - The Felix Programming Language
HoleyMonoid - Automatically exported from code.google.com/p/monoid-cont
zz - 🍺🐙 ZetZ a zymbolic verifier and tranzpiler to bare metal C
distributive - Dual Traversable
io - Io programming language. Inspired by Self, Smalltalk and LISP.
lean4 - Lean 4 programming language and theorem prover