Free Theorems Simply
[1908.07776] Free Theorems Simply, via Dinaturality - arXiv
Dinaturality is a categorical abstraction that captures many instances of free theorems. Arguably, its origins are more conceptually involved to ...
Free Theorems Simply, via Dinaturality - SpringerLink
Free theorems are a popular tool in reasoning about parametrically polymorphic code. They are also of instructive use in teaching.
Free Theorems Simply, via Dinaturality - arXiv
We present a simple approach for obtaining dinaturality-related free theorems from the standard formulation of relational parametricity in a ...
Free Theorems Simply, via Dinaturality - Uni-DUE
Free Theorems Simply, via Dinaturality. Janis Voigtländer. University of Duisburg-Essen. DECLARE 2019. Page 2. Plan for the talk. I Motivation, free theorems in ...
Free Theorems Simply, via Dinaturality - ACM Digital Library
Abstract. Free theorems are a popular tool in reasoning about parametrically polymorphic code. They are also of instructive use in teaching.
Free theorems : r/haskellquestions - Reddit
It's so simple, and Haskell's purity makes it very applicable, which is why it's a big thing. Take a look at this blog post to see how it is ...
Theorems for free! - Faculty of Applied Sciences
Parametricity is just a reformulation of Reynolds' abstraction theorem: terms evaluated in related environments yield related values [Rey83]. The key idea is ...
Review: Theorems for Free - Reasonably Polymorphic
If you're anything like me, you're just aching to know what the secret here is. And it's this: we can build a structurally inductive function ...
Theorems for Free for Free: Parametricity, With and Without Types
Here we propose a simple way to avoid these convolutions, taking inspiration from the alternate approach to function casts that can be made space-efficient [ ...
Theorems for free! - People at MPI-SWS
Theorems for free. Philip Wadler. University of Glasgow*. June 1989 ... The type soundness result simply states that the mean- ing of a typed term ...
Free Theorems Simply, via Dinaturality | CoLab
We present a simple approach for obtaining dinaturality-related free theorems from the standard formulation of relational parametricity in a ...
Theorems for free! - Association for Computing Machinery
Parametricity is just a reformulation of Reynolds' abstraction theorem: terms evaluated in related environments yield related values [Rey33]. The key idea is ...
Theorems for free: parametricity and logical relations - Xavier Leroy
Statman remarked that Tait's proof (1967) of strong normalization for simply-typed lambda-calculus is an instance of unary logical relation. Define the set ...
Compilers - Theorems for free for the unenlightened
This holds for any relabel function from any type to any other type. We can conjure up a theorem from any type signature. (We're really just specializing the ...
Explaining "theorems for free" and parametricity, for ... - YouTube
Explaining "theorems for free" and parametricity, for practicing programmers. With code in Scala. 1.7K views 4 years ago
Free theorems involving type constructor classes: functional pearl
Just as free type variables are in- terpreted as relations between arbitrarily chosen closed types (and then quantified over via relation variables), free ...
Proving Correctness via Free Theorems - Janis Voigtländer
Using a yet unconsidered rule simply has the advan- tage that we can start our semantic investigation without having prejudices about whether or under which ...
Free theorems and runtime type representations - Penn Engineering
Importantly, the abstraction theorem can be used to derive equivalences involving functional programs, just by observing the types of these programs. Wadler [26] ...
Finding a "free theorem" - haskell - Stack Overflow
where Nat is simply data Nat = Z | S Nat ? In principle, this can be answered by the Haskell 'free-theorems' package, but it's too elderly ...
Theorems for free Philip Wadler University of Glasgow* June 1989 ...
A ( X ) . C onstant types, such as. ool and Int , may simply be read as identity relations, I :2 ool & ool and ...