Streams and Unique Fixed Points http://code.haskell.org/~dons/code/hinze-streams

Latest on Hackage:1.0

This package is not currently in any snapshots. If you're interested in using it, we recommend adding it to Stackage Nightly. Doing so will make builds more reliable, and allow stackage.org to host generated Haddocks.

BSD3 licensed by Ralf Hinze
Maintained by Don Stewart

Numeric instances for infinite streams. An implementation of:

Functional Pearl: Streams and Unique Fixed Points, Ralf Hinze, University of Oxford

Streams, infinite sequences of elements, live in a coworld: they are given by a coinductive data type, operations on streams are implemented by corecursive programs, and proofs are conducted using coinduction. But there is more to it: suitably restricted, stream equations possess unique solutions, a fact that is not very widely appreciated. We show that this property gives rise to a simple and attractive proof technique essentially bringing equational reasoning to the coworld. In fact, we redevelop the theory of recurrences, finite calculus and generating functions using streams and stream operators building on the cornerstone of unique solutions. The development is constructive: streams and stream operators are implemented in Haskell, usually by one-liners. The resulting calculus or library, if you wish, is elegant and fun to use. Finally, we rephrase the proof of uniqueness using generalised algebraic data types.

Along with the usual instances for infinite streams, this provides: Num, Enum, Real, Fractional, as well as recurrences on streams, finite calculus, generators

Depends on 3 packages:
Used by 1 package:
comments powered byDisqus