/* times(X,Y,Z) :- X, Y and Z are natural numbers such that Z is the product of X and Y */ times(0,X,0). times(s(X),Y,Z) :- times(X,Y,XY), plus(XY,Y,Z). plus(0,X,X) :- natural_number(X). plus(s(X),Y,s(Z)):- plus(X,Y,Z). natural_number(0). natural_number(s(X)) :- natural_number(X). % Program 3.4: Multiplication as repeated addition % ?- times(s(0),s(0),X).