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Theorems for Free for Free


Theorems for free! - People at MPI-SWS

Theorems for free. Philip Wadler. University of Glasgow*. June 1989. Abstract. From the type of a polymorphic function we can de- rive a theorem that it ...

Free theorems : r/haskellquestions - Reddit

Free theorems provide a way of formalizing that intuition. For every parametric type, like forall a. a -> a -> a , there is a "theorem" that ...

Theorems for free! - Association for Computing Machinery

This provides a free source of useful theorems, courtesy of Reynolds' abstraction theorem for the polymorphic lambda calcu- lus. 1 Introduction. Write down the ...

Theorems for Free for Free: Parametricity, With and Without Types

To demonstrate the utility of our logical relation, in Section 5 we derive free theorems in the tradition of. Wadler [1989]. We prove a theorem about theK ...

Theorems for free Philip Wadler University of Glasgow* June 1989 ...

Every function of the same type satisfies the same theorem. This provides a free source of useful theorems, courtesy of Reynolds' abstraction theorem for the ...

Review: Theorems for Free - Reasonably Polymorphic

Review: Theorems for Free ... I've been reading through Wadler's classic paper “Theorems for Free”. The thesis of the paper is that given a most- ...

Theorems for free! - Faculty of Applied Sciences

Every function of the same type satis es the same theorem. This provides a free source of useful theorems, courtesy of Reynolds' abstraction theorem for the ...

Theorems for free! | Proceedings of the fourth international ...

Proceedings of the fourth international conference on Functional programming languages and computer architecture. Pages 347 - 359

Is it possible to get hold of free theorems as propositional equalities?

2 Answers 2 · Jean-Philippe Bernardy and Guilhem Moulin: A Computational Interpretation of Parametricity (2012) · Guilhem Moulin: Pure Type ...

Theorems for free: parametricity and logical relations - Xavier Leroy

Various applications: “theorems for free” (true for all functions having a given type), non-inhabitation results, isomorphisms between functional encodings and ...

Finding a "free theorem" - haskell - Stack Overflow

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Theorems for free! : Philip Walder - Internet Archive

Theorems for free! ... From the type of a polymorphic function we can derive a theorem that it satisfies. Every function of the same type ...

[PDF] Theorems for free! - Semantic Scholar

From the type of a polymorphic function the authors can derive a theorem that it satisfies, courtesy of Reynolds' abstraction theorem for the polymorphic ...

Automatic generation of free theorems. - Hackage

free-theorems: Automatic generation of free theorems. ... The free-theorems library allows to automatically generate free theorems from Haskell ...

Parametricity: Money for Nothing and Theorems for Free

These are parametricity arguments: free theorems about polymorphic functions. Fortunately, there is solid theory behind parametricity. Free theorems are not ...

(PDF) Theorems for free for free: parametricity, with and without types

To demonstrate the utility of parametricity in the polymorphic blame calculus, we derive two free theorems. ResearchGate Logo. Discover the world's research. 25 ...

[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 ...

Relational parametricity. Why the paper "Theorems for Free" is hard ...

P. Wadler's 1991 paper "Theorems for free" (TFF) is the most often cited source on the applications of relational parametricity in ...

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.

Theorems for Free for Free: Parametricity, With and Without Types

Theorems for Free for Free: Parametricity, With and Without Types. Amal Ahmed, Dustin Jamner, Jeremy Siek, Philip Wadler. To appear at the International ...


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