A permutation on the set 1, , k is a one to one, onto function on this set When p is a permutation, p t means the composition of p with itself t times Let Show that PERM POWER P Note that the most obvious algorithm doesnt run within polynomial time First try it where t is a power of 2 PERM POWER p,...

To show that PERMPOWER P we need to give a polynomialtime algorithm that decides whether a given triple p q t is in PERMPOWER One way to approach this ...

A permutation on the set {1, . . . , k} is a one-to-one, onto function on

Question:

A permutation on the set {1, . . . , k} is a one-to-one, onto function on this set. When p is a permutation, p^t means the composition of p with itself t times. Let

PERM-POWER = {{p,q, t)| p = q' where p and q are permutations on {1, ..., k} and t is a binary integer}.