简答题
求下列阿克曼函数值: (1)A(0,1) (2)A(1,0) (3)A(1,1) (4)A(2,1) (5)A(2,2)
正确答案
(1)A(0,1)=1+1=2
(2)A(1,0)=A((1-1),1)=A(0,1)=2
(3)A(1,1)=A(0,A(1,0)=A(0,A(0,1))=A(0,2)=3
(4)A(2,1)=A(1,A(2,0))=A(1,A(1,1))=A(1,3)=A(0,A(1,2))=A(0,A(0,A(1,1)))
=A(0,A(0,3))=A(0,4)=5
(5)A(2,2)=A(1,A(2,1))=A(1,5)=A(0,A(1,4))=A(0,A(0,A(1,3)))
=A(0,A(0,5))=A(0,6)=7