Data.Rewriting.Term

Documentation

data Term f v

Constructors

Var v

Variable

Fun f [Term f v]

Function application

Instances

(Eq f, Eq v) => Eq (Term f v)

(Ord f, Ord v) => Ord (Term f v)

(Show f, Show v) => Show (Term f v)

(Pretty f, Pretty v) => Pretty (Term f v)

Important operations

fold :: (v -> a) -> (f -> [a] -> a) -> Term f v -> a

Folding terms.

>>> fold (\v -> 1) (\f xs -> 1 + sum xs) (Fun 'f' [Var 1, Fun 'g' []])
3 -- size of the given term

map :: (f -> f') -> (v -> v') -> Term f v -> Term f' v'

Mapping terms: Rename function symbols and variables.

>>> map succ pred (Fun 'f' [Var 2, Fun 'g' []])
Fun 'e' [Var 3,Fun 'f' []]

vars :: Term f v -> [v]

Return the list of all variables in the term, from left to right.

>>> vars (Fun 'g' [Var 3, Fun 'f' [Var 1, Var 2, Var 3]])
[3,1,2,3]

funs :: Term f v -> [f]

Return the list of all function symbols in the term, from left to right.

>>> funs (Fun 'f' [Var 3, Fun 'g' [Fun 'f' []]])
"fgf"

Reexported modules

module Data.Rewriting.Term.Type

module Data.Rewriting.Term.Ops

module Data.Rewriting.Term.Pretty

module Data.Rewriting.Term.Parse