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Timeline for Are DCFLs closed under reversal?

Current License: CC BY-SA 3.0

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Jun 16, 2020 at 10:30 history edited CommunityBot
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Oct 7, 2014 at 22:31 comment added Hendrik Jan Did H&U overlook reversal for DCFL? They mention non-closure under union, concatenation, Kleene, morphism in Thm 10.5 see Exercise 10.4 (starred but with a solution). However, they note $\{ 0^i1^i2^j\mid i,j\} \cup \{ 0^i1^j2^j\mid i,j\}$ is not DCFL, so neither is $K = \{ 0^i1^i2^ja \mid i,j\} \cup \{ 0^i1^j2^jb\mid i,j\}$ by closure of DCFL under quotient with regular set, Thm 10.2. But the reversal of $K$ is a DCFL, the 'markers' $a$ and $b$ give away the information where to use the pushdown. [ Perhaps @babou can add this if he likes; he is the one collecting the reps here :) ]
Oct 7, 2014 at 16:56 comment added Patrick87 Think of it as a "finder's fee" :) I'm just mystified the system actually works well enough that you found that old post of mine. The system works! Hail SE!
Oct 7, 2014 at 14:40 comment added babou This is absurd. Patrick87 provided the examples, @Raphael did half the editing work, and I get the rep. Then, we get so little for real work ... :)
Oct 7, 2014 at 14:08 history edited Raphael CC BY-SA 3.0
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Oct 7, 2014 at 13:27 vote accept peteykun
Oct 7, 2014 at 13:22 history answered babou CC BY-SA 3.0