asciilifeform: mircea_popescu: it is a cycle topologically, but given as it contains the genesis, the 'ant walker' stops at the genesis, and does not walk in circles.
asciilifeform: mod6: so i guess you did not copy my toposort.
asciilifeform: and you won't, if you copied my toposort.
asciilifeform: mircea_popescu: it is not illegal in my vtron because the toposort still provably terminates.
asciilifeform: mircea_popescu: mod6 posted one above.
asciilifeform: because you can TRACE BACK TO GENESIS
asciilifeform: any patch in that loop is pressable without spinning in circle forever.
asciilifeform: mod6: take a paper and draw a loop containing the genesis.
asciilifeform: returns to genesis are topologically harmless and so were legal in my vtron (they cannot cause any kind of inconsistent behaviour.) note that a deedbotted vtron as discussed in today's thread, would still ban them.
asciilifeform: (where an item comes to exist ex nihilo, without flowing from genesis)
asciilifeform: notice, my vtron will not barf on it. because it does not cause a munchausening.
asciilifeform: this is not actually a cycle, do you know why ?
asciilifeform: even d00d with cock that only fits on a spool in atlantic cable-laying ship cannot break arithmetic.
asciilifeform: and this is rapidly turning into the one-time-pad thread.
asciilifeform: if mircea_popescu or anybody else wants to try to 'square the circle' and make a v-prime algo that doesn't need ordering, i will helpfully show how it breaks.
asciilifeform: why continue to pretend that this is an open problem ? do you see an issue with the blocktime algo ?
asciilifeform: i described one provably-correct algo for doing so, in this thread.
asciilifeform: whole thing is more or less a straight rip of it.
asciilifeform: see knuth's discussion of garbage collector, for related example.
asciilifeform: for so long as you ban cycles, the graph is guaranteed to behave in the predictable and sane way i described when first released v.
asciilifeform: mircea_popescu: the antecedent hash in this example ~is~ the entire context, because the example is so short.