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feat(MultiTapeTM): loglogn_equals_no_space - #13
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Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Prove `SPACE(o(log log n)) = SPACE(1)` following Katz's proof idea, with the main ingredient formalized in `InputShortening.lean`. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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Prove
SPACE(o(log log n)) = SPACE(1)using input shortening from #12 and the computability API from #39. The proof shows that any halting deterministic machine over a finite alphabet with subloglog space usage already uses constant space, then derives the computability and language results.