recursive types for free

Recursive types for free! Philip Wadler University of Glasgow July [some ty...

Recursive types for free! Philip Wadler University of Glasgow July [some typos fixed Aug , Oct ] DRAFT DRAFT DRAFT DRAFT DRAFT Recursive.

⬇ Download Full Version

We show that the inductive naturals are exactly those values of type natura...

We show that the inductive naturals are exactly those values of type natural that satisfy The result extends to other algebraic types. Recursive types for free!

⬇ Download Full Version

r satisfies the following theorem: for all types A and A' and every to...

r satisfies the following theorem: for all types A and A' and every total function a . recursive function that can be proved total in second- order$¦ eano arithmetic.

⬇ Download Full Version

Infinite but regular data structures are indispensable tools in all modern ...

Infinite but regular data structures are indispensable tools in all modern program- ming languages. Recursive types are finite representations of such infinite.

⬇ Download Full Version

I realised that I'd actually come across a real world example of what ...

I realised that I'd actually come across a real world example of what Wadler was talking about in Recursive Types for Free!. In Haskell, the foldr.

⬇ Download Full Version

In this article we'll look at three such recursive types: 'Fix�...

In this article we'll look at three such recursive types: 'Fix', 'Free', and 'Cofree'. I'll demonstrate that each can be viewed as a kind of program.

⬇ Download Full Version

recursive-types-for-free - Just wanting to read this paper in something pre...

recursive-types-for-free - Just wanting to read this paper in something prettier than plain ASCII.

⬇ Download Full Version

For a basic intro to recursive types, and for the set-theoretic metatheory:...

For a basic intro to recursive types, and for the set-theoretic metatheory: see section IV, . Philip Wadler () Recursive types for free!

⬇ Download Full Version

The common subtyping rules for iso-recursive types—the “Am- ber rules”—are ...

The common subtyping rules for iso-recursive types—the “Am- ber rules”—are shown . no free type variables) and the other for possibly open types τ. (possibly.

⬇ Download Full Version

Recursive types capture important invariants in programs and proofs. It is ...

Recursive types capture important invariants in programs and proofs. It is well-known that the naive treatment of unrestricted recursive types.

⬇ Download Full Version

We only need one generic recursive type, Fix, to be able to crank out (Noti...

We only need one generic recursive type, Fix, to be able to crank out (Notice that we are free to add and multiply x and y, since they are just.

⬇ Download Full Version

In computer programming languages, a recursive data type is a data type for...

In computer programming languages, a recursive data type is a data type for values that may . This article is based on material taken from the Free On-line Dictionary of Computing prior to 1 November and incorporated under the.

⬇ Download Full Version

coinductively. Coinductive equivalence is often motivated by a view of recu...

coinductively. Coinductive equivalence is often motivated by a view of recursive types as finite representations of potentially infinite µ-free types. Thus, dwn.220.v.ua→X.

⬇ Download Full Version

Recursive types reduced to inductive types. Abstract: A setting called comp...

Recursive types reduced to inductive types. Abstract: A setting called complete partial ordering (CPO) categories and the notion of dialgebra are described. Free.

⬇ Download Full Version

There is a convention in category theory that the same symbol is used for a...

There is a convention in category theory that the same symbol is used for a type constructor and the map function over that type constructor.

⬇ Download Full Version