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Dec 17, 2023 at 9:46 comment added Gro-Tsen @CommandMaster It's fine if a proof is a subsequence of a compute program: the only point of compute mode is to fulfill your requirement on Turing-completeness, but we don't care if compute mode programs are irreducible; what we want is to have very long irreducible programs, so we want proof mode programs not to have compute mode programs as subsequences.
Dec 17, 2023 at 3:15 comment added Daniel Weber Thanks! You need proof mode programs to start with a special character, not compute mode, otherwise a proof could still be a subsequence of a compute program
Dec 16, 2023 at 23:30 history answered Gro-Tsen CC BY-SA 4.0