Immerman and Szelepcsényi independently proved NSPACE(f(n)) = co-NSPACE(f(n)), suggesting non-deterministic space has richer structural closure properties than non-deterministic time, complicating any simple 'less powerful' verdict.

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Immerman and Szelepcsényi(namesakes of a theorem in computational complexity theory): Two computer scientists who independently made the same mathematical discovery in the 1980s about how computer memory works in certain theoretical situations.
NSPACE(f(n))(theoretical computer science notation): A mathematical notation describing problems that a computer can solve using a certain amount of memory when allowed to make guesses (non-deterministic means the computer can try multiple paths at once).
Non-deterministic space(computational complexity theory): A theoretical way of thinking about how much memory a computer needs when it's allowed to explore many possibilities simultaneously instead of trying one approach at a time.
Non-deterministic time(computational complexity theory): A theoretical measure of how much computational steps a computer needs when allowed to guess and explore multiple solutions at once.
Structural closure properties(theoretical computer science): Mathematical rules describing what kinds of problems can be solved when you combine or transform other problems in certain ways.
co-NSPACE(f(n))(theoretical computer science notation): The 'opposite' version of NSPACE—instead of asking 'can we solve this problem?', it asks 'can we prove this problem has no solution?'

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