What is the difference between PPE and SPPE?
An efficiently computable Permutation Ensemble is (Weakly) Pseudo-Random

if and only if it is infeasible for an adversary with oracle access to

[a function that was chosen either from then Ensemble or uniformly from

the set of all permutations on bit-strings of the corresponding length]

to distinguish between those two cases.

An efficiently computable Permutation Ensemble is "Super" (= Strongly) Pseudo-Random

if and only if it is infeasible for an adversary with oracle access to

[$\hspace{.02 in}$[a function that was chosen either from then Ensemble or uniformly from

the set of all permutations on bit-strings of the corresponding length] and that function's inverse]

to distinguish between those two cases.