Programming Languages

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Hello!

This is the current Lemmy equivalent of https://www.reddit.com/r/ProgrammingLanguages/.

The content and rules are the same here as they are over there. Taken directly from the /r/ProgrammingLanguages overview:

This community is dedicated to the theory, design and implementation of programming languages.

Be nice to each other. Flame wars and rants are not welcomed. Please also put some effort into your post.

This isn't the right place to ask questions such as "What language should I use for X", "what language should I learn", and "what's your favorite language". Such questions should be posted in /c/learn_programming or /c/programming.

This is the right place for posts like the following:

"Check out this new language I've been working on!"
"Here's a blog post on how I implemented static type checking into this compiler"
"I want to write a compiler, where do I start?"
"How does the Java compiler work? How does it handle forward declarations/imports/targeting multiple platforms/?"
"How should I test my compiler? How are other compilers and interpreters like gcc, Java, and python tested?"
"What are the pros/cons of ?"
"Compare and contrast vs. "
"Confused about the semantics of this language"
"Proceedings from PLDI / OOPSLA / ICFP / "

See /r/ProgrammingLanguages for specific examples

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armchair_progamer

Total Denotational Semantics (blog) (fixpt.de)

submitted 2 months ago by armchair_progamer to c/programming_languages

7 comments fedilink hide all child comments

Background: What are denotational semantics, and what are they useful for?

Also: Operational and Denotational Semantics

Denotational semantics assign meaning to a program (e.g. in untyped lambda calculus) by mapping the program into a self-contained domain model in some meta language (e.g. Scott domains). Traditionally, what is complicated about denotational semantics is not so much the function that defines them; rather it is to find a sound mathematical definition of the semantic domain, and a general methodology of doing so that scales to recursive types and hence general recursion, global mutable state, exceptions and concurrency^1^^2^.

In this post, I discuss a related issue: I argue that traditional Scott/Strachey denotational semantics are partial (in a precise sense), which means that

It is impossible to give a faithful, executable encoding of such a semantics in a programming language, and

Internal details of the semantic domain inhibit high-level, equational reasonining about programs

After exemplifying the problem, I will discuss total denotational semantics as a viable alternative, and how to define one using guarded recursion.

I do not claim that any of these considerations are novel or indisputable, but I hope that they are helpful to some people who

know how to read Haskell

like playing around with operational semantics and definitional interpreters

wonder how denotational semantics can be executed in a programming language

want to get excited about guarded recursion.

I hope that this topic becomes more accessible to people with this background due to a focus on computation.

I also hope that this post finds its way to a few semanticists who might provide a useful angle or have answers to the conjectures in the later parts of this post.

If you are in a rush and just want to see how a total denotational semantics can be defined in Agda, have a look at this gist.

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[–] Corbin 0 points 2 months ago

Nah, you're just not good with maths. Programming languages are mathematical objects and denotational semantics is merely treating languages as categories and looking for functors leading out of them.