[next] [prev] [up] Date: Sat, 17 Dec 94 15:03:32 -0500
[next] [prev] [up] From: michael reid <mreid@ptc.com >
~~~ ~~~ [up] Subject: planning in permutation groups

here is some more info on the algorithm i briefly described yesterday.

the paper i have is "planning and learning in permutation groups", by
fiat, moses, shamir, shimshoni and tardos. it appeared in the 30th
annual symposium on foundations of computer science, pp 274-9.

the paper mentions that they have calculated all identities of length 16
(they count face turns). this means that the algorithm was successfully
implemented for the list L of all configurations within 4 face turns
of start!

also, alan gives a much more detailed description of this algorithm
in the archives. see his message of may 27, 1987 "shamir's talk really
was about how to solve the cube!" (cube-mail-6)

i encourage people to look up the paper and/or alan's message. this is
an exciting development, and the lack of attention this idea has
received is a shame.



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