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Posts tagged #DependentTypes

The other episode was on #DependentTypes in computer programming, intuitionism in #philmath, philosophical questions concerning #evolution, and #pseudorandom number generators.

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Original post on mathstodon.xyz

Reading about system F:

"System Fω can be stratified into an infinite hierarchy of Systems Fn, where F0 corresponds to the usual polymorphic System F (quantifying over kinds ∗), F1 to System F with type operators (quantifying over kinds e.g. ∗ → ∗), F2 additionally quantifying over kinds e.g […]

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Overview: Hacker News debated the utility & necessity of dependent types in programming & theorem proving. Discussion covered pros/cons vs. alternatives, ease of use, performance, community support, and adoption challenges. #DependentTypes 1/6

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Original post on mathstodon.xyz

Just found out about the ATS programming language, a functional language with #DependentTypes, and with C-like control over memory allocation thanks to #LinearTypes. I've been longing for a #Haskell -like language that could be used for low-level real time #AudioProgramming , so this looks very […]

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purescript-singletons purescript-singletons

Playing around with #DependentTypes and started writing a (currently pretty silly) #Singletons library port for #PureScript - https://forge.id1.in/aj/purescript-singletons/

#Haskell #FunctionalProgramming

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Has anyone ever used #DependentTypes for anything practical? I'm struggling to find a use case that's not track the length of an array

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"The key insight is that runtime checks can provide compile-time information,"
#functionalprogramming #dependenttypes

source: www.reddit.com/r/ProgrammingLanguages/c...

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Coverage Semantics for Dependent Pattern Matching Dependent pattern matching is a key feature in dependently typed programming. However, there is a theory-practice disconnect: while many proof assistants implement pattern matching as primitive, theor...

Preprint: Coverage Semantics for Dependent Pattern Matching (to appear at ESOP2025).

arxiv.org/abs/2501.18087

We build on folklore around spaces and pattern matching to formalize how sheaves and Grothendieck topologies can model dependent matching

#categorytheory #typetheory #dependenttypes

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Well, this seems as good a time as any to post that I am seeking PhD students to join my research group in Regina, Canada.

I work on making dependently typed programming languages easier to use...

#typetheory #pl #plt #programminglanguages #agda #idris #lean #rocq #dependenttypes #cs #phd

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Outlining Typechecking for your Toy Language / Feeding the lambda calculus its own tail - Fallible

Reposted my “Outlining typechecking / Feeding the lambda calculus its own tail" type theory posts to my website, using the cohost web component tool.

fallible.net/projects/types/

#typetheory #dependenttypes #haskell #cohost

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