Problem: S1: The problem of checking whether a given polynomial is a permutation polynomial over a polynomial field can be solved in final time .
S2: The problem of testing whether a given polynomial over a polynomial field is a permutation polynomial can be solved in finite time .

Do S1 & S2 convey the same information?

A: yes

Problem: S1: Stukley had provided false evidence against Raleigh , but not necessarily hostile .
S2: Stukley had given false , but not necessarily hostile , evidence against Raleigh .

Do S1 & S2 convey the same information?

A: yes

Problem: S1: The novel was translated by Roger Senhouse into English and published in 1953 ( with '' The Cat '' by Antonia White ) .
S2: The novella was translated into English by Antonia White and published ( with '' The Cat '' translated by Roger Senhouse ) in 1953 .

Do S1 & S2 convey the same information?

A:
no