Suggested Homework #8 (for Quiz #8 on 03/11/08)
Problem 1. Recall the following prolog predicate described in class:
parent(kim,holly).
parent(margaret,kim).
parent(herbert,margaret).
parent(john,kim).
parent(felix,john).
parent(albert,felix).
In addition, suppose we define the following predicates:
male(herbert).
male(john).
male(felix).
male(albert).
female(kim).
female(holly).
female(margaret).
- (a) Write a predicate sibling(X,Y) that is true if
X is a sibling of Y.
- (b) Write a predicate uncle(X,Y) that is true if
X is an uncle of Y.
- (c) Write a predicate niece(X,Y) that is true if
Y is a niece of X.
- (d) Write a predicate first_cousin(X,Y) that is true if
X and Y are first cousins (i.e. they have parents who are
siblings).
- (e) Write a predicate cousin(X,Y) that is true if
X and Y are cousins (i.e. including first, second, third
etc. cousins).
Problem 2. List manipulation
- (a) Write a predicate reverse(X,Y) that is true if
the list Y is the reverse of the list X.
- (b) Write a predicate sum(L,N) that is true if
the number N is the sum of the numbers in the list L.
- (c) Write a predicate max(L,N) that is true if
the number N is the largest (maximum) of the numbers in the list L.
- (d) Write a predicate sorted(L) that is true if
the list L is sorted in increasing order.
- (e) Write a predicate subsequence(L1,L2) that is true if
the list L2 is a subsequence of the list L1. For
example: subsequence([1,2,3,4],[2,4]) and
subsequence([1,2,3],[]) but not
subsequence([1,2,3],[3,1]).