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Tag Archives: combinatorics
Counting linear lambda terms
Just a little something with which I’ve been idly occupying spare brain cycles lately… read on for an interesting puzzle. Warm up: counting lambda terms Consider a strippeddown version of Haskell’s type system with only natural numbers, polymorphism, functions, and … Continue reading
Posted in combinatorics
Tagged combinatorics, lambda, linear, polymorphism, System F, terms
10 Comments
Species and Functors and Types, Oh My!
My paper on combinatorial species and the species library (an improved version of my previous ICFP submission) has been accepted to the 2010 Haskell Symposium! I look forward to seeing people in Baltimore in September, and in the meantime the … Continue reading
Posted in combinatorics, haskell, math, writing
Tagged 2010, combinatorics, haskell, paper, species, symposium
2 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 combinatorial species, combinatorics, differentiation
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 combinatorial species, combinatorics, cycles, sets, singletons
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 combinatorial species, combinatorics, DSL, primitives
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 combinatorial species, combinatorics
14 Comments
Monad.Reader article (Multiset partitions)
I imagine that most who read this blog have already seen it, but for those who haven’t, my article Generating Multiset Partitions has been published in Issue #8 of The Monad.Reader. In it, I discuss the problem of generating multiset … Continue reading
Posted in haskell, math, writing
Tagged combinatorics, functional programming, haskell, math, partitions
2 Comments