Tag Archives: combinatorial species

And now, back to your regularly scheduled combinatorial species

I’ve already mentioned this to people here and there, but haven’t yet announced it publically, so here it is: Stephanie Weirich and I have been awarded a grant from the NSF to study the intersection of combinatorial species and (functional) … Continue reading

Posted in combinatorics, math, writing | Tagged , | 10 Comments

Functional pearl on combinatorial species

I’ve just submitted a Functional Pearl to ICFP explaining combinatorial species in a way that is (hopefully) accessible and interesting to functional programmers. You can read the draft here — as always, comments, suggestions, etc. are welcome (although it’s too … Continue reading

Posted in combinatorics, haskell, writing | Tagged , , | 3 Comments

Species operations: differentiation

Continuing my series describing my new combinatorial species library, today we’ll take a look at the operation of differentiation. You may remember that the Species type class has an Algebra.Differential constraint, which, as I previously explained, transitively implies an Algebra.Ring … Continue reading

Posted in combinatorics, haskell, math | Tagged , , | 1 Comment

Primitive species and species operations, part II

In my previous post, I began describing the primitive species and species operations supported by my combinatorial species library; we looked at the ring structure on species, that is, the primitive species and , and the operations of species sum … Continue reading

Posted in combinatorics, haskell, math | Tagged , , , , | 2 Comments

Primitive species and species operations

In this second post about my new combinatorial species library, I plan to begin writing about the species DSL itself: what are the primitive combinatorial species and the primitive operations on species? (The first post described the concept of combinatorial … Continue reading

Posted in combinatorics, haskell, math | Tagged , , , | 3 Comments

Introducing Math.Combinatorics.Species!

I have just uploaded to Hackage version 0.1 of the species package, a Haskell library for computing with combinatorial species. Much like David Amos’s great series of posts introducing his Haskell for Maths library, I plan to write a series … Continue reading

Posted in combinatorics, haskell, math, projects | Tagged , | 14 Comments