Lost melody theorem holds for ITBMs: non-computable recognizable reals exist, are hyperarithmetic, and both recognizable and unrecognizable reals appear at every level of L below ω₁^CK where new reals appear.
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The Lost Melody Theorem for Infinite Time Blum-Shub-Smale Machines
Lost melody theorem holds for ITBMs: non-computable recognizable reals exist, are hyperarithmetic, and both recognizable and unrecognizable reals appear at every level of L below ω₁^CK where new reals appear.