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Mar 3 at 23:40 comment added Hendrik Jan An alternative construction was proposed by Yuval , simulating the FSA and scramble-PDA in parallel, keeping the difference of the numbers of 0/1 and 1/0 mismatches on stack. (Scramble is called permutation. That question was later than this one, the answer came earlier. I feel ilke a confused time traveller.)
Mar 3 at 12:26 comment added Nathaniel Thanks for the edit! It was much needed.
Mar 3 at 11:50 history edited Mati CC BY-SA 4.0
Added a formal construction and a proof scheme.
Mar 2 at 14:33 comment added Nathaniel "This one-register automaton accepts the language $\text{SCRAMBLE}(L)$ if we require the register to contain zero at the end." Could you please elaborate? This does not seem obvious…
Mar 2 at 14:09 review Late answers
Mar 9 at 13:55
S Mar 2 at 13:49 review First answers
Mar 3 at 12:33
S Mar 2 at 13:49 history answered Mati CC BY-SA 4.0