at we will manipulate trees (binary or otherwise). For any type a, a binary tree over a is either empty or consists of a value of type a and exactly two sub-binary trees over a (either or both of which might be empty). Recall that we defined binary trees in HASKELL as follows: data BinTree a = Empty | Node a (BinTree a) (BinTree a) 1. For any type a, a tree over a consists of a root value of type a and a (finite, possibly empty) sequence of sub-trees over a. For example, the following is a pictorial representation of a tree over Integer; it has root value 2 and three sub-trees, the first and third of which have no sub-trees, and the second of which has two sub-trees: 5 7 8 9 A forest is then a set of trees. Define the HASKELL types Tree and Forest such that, for any type a, Tree a and Forest a are suitable for representing trees and forests over a, respectively.
at we will manipulate trees (binary or otherwise). For any type a, a binary tree over a is either empty or consists of a value of type a and exactly two sub-binary trees over a (either or both of which might be empty). Recall that we defined binary trees in HASKELL as follows: data BinTree a = Empty | Node a (BinTree a) (BinTree a) 1. For any type a, a tree over a consists of a root value of type a and a (finite, possibly empty) sequence of sub-trees over a. For example, the following is a pictorial representation of a tree over Integer; it has root value 2 and three sub-trees, the first and third of which have no sub-trees, and the second of which has two sub-trees: 5 7 8 9 A forest is then a set of trees. Define the HASKELL types Tree and Forest such that, for any type a, Tree a and Forest a are suitable for representing trees and forests over a, respectively.
Question
Transcribed Image Text:at we will manipulate trees (binary or otherwise).
For any type a, a binary tree over a is either empty or consists of a value of type a and exactly
two sub-binary trees over a (either or both of which might be empty). Recall that we defined
binary trees in HASKELL as follows:
data BinTree a = Empty | Node a (BinTree a) (BinTree a)
1. For any type a, a tree over a consists of a root value of type a and a (finite, possibly empty)
sequence of sub-trees over a. For example, the following is a pictorial representation of a
tree over Integer; it has root value 2 and three sub-trees, the first and third of which have
no sub-trees, and the second of which has two sub-trees:
5
7
8
9
A forest is then a set of trees.
Define the HASKELL types Tree and Forest such that, for any type a, Tree a and Forest a
are suitable for representing trees and forests over a, respectively.
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