Theorems 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 ...
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 ...
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 ...
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 Philip Wadler University of Glasgow* June 1989 ...
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! - Faculty of Applied Sciences
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! | Proceedings of the fourth international ...
Proceedings of the fourth international conference on Functional programming languages and computer architecture. Pages 347 - 359
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: 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 ...
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 ...
Compilers - Theorems for free for the unenlightened
The theorize function returns a list of equalities, the head of which is true whenever all of the equalities in the tail are true.
Explaining "theorems for free" and parametricity, for ... - YouTube
Philip Wadler's well-known paper "Theorems for Free" is not easy to understand and does not clearly explain what programmers need to know in ...
[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 ...
Theorems for free! - Edinburgh Research Explorer
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 ...
[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 ...
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 and runtime type representations - Penn Engineering
Wadler [26] refers to these equivalences as the “free theorems” associated with particular types. For example, one free theorem about the polymorphic λ-calculus ...
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.
[2005.04722] Dynamic IFC Theorems for Free! - arXiv
We show that noninterference and transparency, the key soundness theorems for dynamic IFC libraries, can be obtained for free.