0.00/0.39 NO 0.00/0.39 0.00/0.39 0.00/0.39 The system was reversed. 0.00/0.39 0.00/0.39 Remains to prove termination of the 4-rule system 0.00/0.39 { a -> , 0.00/0.39 b a -> a a c b , 0.00/0.39 b c -> , 0.00/0.39 c c -> b } 0.00/0.39 0.00/0.39 0.00/0.39 Loop of length 13 starting with a string of length 8 using right expansion 0.00/0.39 and the encoding {a=a, b=b, c=c}: 0.00/0.39 0.00/0.39 .ba.aaacaa 0.00/0.39 rule ba -> aacb at position 0 0.00/0.39 .aacb.aaacaa 0.00/0.39 rule ba -> aacb at position 3 0.00/0.39 .aacaacb.aacaa 0.00/0.39 rule a -> at position 3 0.00/0.39 .aacacb.aacaa 0.00/0.39 rule a -> at position 3 0.00/0.39 .aaccb.aacaa 0.00/0.39 rule cc -> b at position 2 0.00/0.39 .aabb.aacaa 0.00/0.39 rule ba -> aacb at position 3 0.00/0.39 .aabaacb.acaa 0.00/0.39 rule ba -> aacb at position 6 0.00/0.39 .aabaacaacb.caa 0.00/0.39 rule a -> at position 6 0.00/0.39 .aabaacacb.caa 0.00/0.39 rule a -> at position 6 0.00/0.39 .aabaaccb.caa 0.00/0.39 rule cc -> b at position 5 0.00/0.39 .aabaabb.caa 0.00/0.39 rule bc -> at position 6 0.00/0.39 .aabaab.aa 0.00/0.39 rule ba -> aacb at position 5 0.00/0.39 .aabaaaacb.a 0.00/0.39 rule ba -> aacb at position 8 0.00/0.39 .aabaaaacaacb. 0.00/0.43 EOF