3.25/1.07 NO 3.25/1.07 3.25/1.07 3.25/1.07 The system was reversed. 3.25/1.07 3.25/1.07 Remains to prove termination of the 3-rule system 3.25/1.07 { a -> , 3.25/1.07 b a -> a c , 3.25/1.07 c c -> a b c b b } 3.25/1.07 3.25/1.07 3.25/1.07 Loop of length 17 starting with a string of length 6 using right expansion 3.25/1.07 and the encoding {a=a, b=b, c=c}: 3.25/1.07 3.25/1.07 .cc.acac 3.25/1.07 rule cc -> abcbb at position 0 3.25/1.07 .abcbb.acac 3.25/1.07 rule ba -> ac at position 4 3.25/1.07 .abcbac.cac 3.25/1.07 rule a -> at position 4 3.25/1.07 .abcbc.cac 3.25/1.07 rule cc -> abcbb at position 4 3.25/1.07 .abcbabcbb.ac 3.25/1.07 rule ba -> ac at position 3 3.25/1.07 .abcacbcbb.ac 3.25/1.07 rule a -> at position 3 3.25/1.07 .abccbcbb.ac 3.25/1.07 rule ba -> ac at position 7 3.25/1.07 .abccbcbac.c 3.25/1.07 rule ba -> ac at position 6 3.25/1.07 .abccbcacc.c 3.25/1.07 rule a -> at position 6 3.25/1.07 .abccbccc.c 3.25/1.07 rule cc -> abcbb at position 5 3.25/1.07 .abccbabcbbc.c 3.25/1.07 rule ba -> ac at position 4 3.25/1.07 .abccacbcbbc.c 3.25/1.07 rule cc -> abcbb at position 10 3.25/1.07 .abccacbcbbabcbb. 3.25/1.07 rule ba -> ac at position 9 3.25/1.07 .abccacbcbacbcbb. 3.25/1.07 rule ba -> ac at position 8 3.25/1.07 .abccacbcaccbcbb. 3.25/1.07 rule a -> at position 8 3.25/1.07 .abccacbcccbcbb. 3.25/1.07 rule cc -> abcbb at position 7 3.25/1.07 .abccacbabcbbcbcbb. 3.25/1.07 rule ba -> ac at position 6 3.25/1.07 .abccacacbcbbcbcbb. 3.51/1.11 EOF