2.31/0.80 NO 2.31/0.80 2.31/0.80 2.31/0.80 The system was reversed. 2.31/0.80 2.31/0.80 Remains to prove termination of the 3-rule system 2.31/0.80 { a -> , 2.31/0.80 b a -> a a c b , 2.31/0.80 c c a -> a b } 2.31/0.80 2.31/0.80 2.31/0.80 Loop of length 24 starting with a string of length 8 using right expansion 2.31/0.80 and the encoding {a=a, b=b, c=c}: 2.31/0.80 2.31/0.80 .ba.aaaaaa 2.31/0.80 rule ba -> aacb at position 0 2.31/0.80 .aacb.aaaaaa 2.31/0.80 rule ba -> aacb at position 3 2.31/0.80 .aacaacb.aaaaa 2.31/0.80 rule a -> at position 3 2.31/0.80 .aacacb.aaaaa 2.31/0.80 rule a -> at position 3 2.31/0.80 .aaccb.aaaaa 2.31/0.80 rule ba -> aacb at position 4 2.31/0.80 .aaccaacb.aaaa 2.31/0.80 rule cca -> ab at position 2 2.31/0.80 .aaabacb.aaaa 2.31/0.80 rule ba -> aacb at position 6 2.31/0.80 .aaabacaacb.aaa 2.31/0.80 rule a -> at position 6 2.31/0.80 .aaabacacb.aaa 2.31/0.80 rule a -> at position 6 2.31/0.80 .aaabaccb.aaa 2.31/0.80 rule ba -> aacb at position 7 2.31/0.80 .aaabaccaacb.aa 2.31/0.80 rule cca -> ab at position 5 2.31/0.80 .aaabaabacb.aa 2.31/0.80 rule ba -> aacb at position 6 2.31/0.80 .aaabaaaacbcb.aa 2.31/0.80 rule ba -> aacb at position 11 2.31/0.80 .aaabaaaacbcaacb.a 2.31/0.80 rule a -> at position 11 2.31/0.80 .aaabaaaacbcacb.a 2.31/0.80 rule a -> at position 11 2.31/0.80 .aaabaaaacbccb.a 2.31/0.80 rule ba -> aacb at position 12 2.31/0.80 .aaabaaaacbccaacb. 2.31/0.80 rule cca -> ab at position 10 2.31/0.80 .aaabaaaacbabacb. 2.31/0.80 rule ba -> aacb at position 9 2.31/0.80 .aaabaaaacaacbbacb. 2.31/0.80 rule a -> at position 9 2.31/0.80 .aaabaaaacacbbacb. 2.31/0.80 rule a -> at position 9 2.31/0.80 .aaabaaaaccbbacb. 2.31/0.80 rule ba -> aacb at position 11 2.31/0.80 .aaabaaaaccbaacbcb. 2.31/0.80 rule ba -> aacb at position 10 2.31/0.80 .aaabaaaaccaacbacbcb. 2.31/0.80 rule cca -> ab at position 8 2.31/0.80 .aaabaaaaabacbacbcb. 2.31/0.80 rule ba -> aacb at position 9 2.31/0.80 .aaabaaaaaaacbcbacbcb. 2.47/0.87 EOF