122.05/31.20 NO 122.05/31.20 122.05/31.20 122.05/31.20 The system was reversed. 122.05/31.20 122.05/31.20 Remains to prove termination of the 3-rule system 122.05/31.20 { a -> , 122.05/31.20 b a -> a c a b b , 122.05/31.20 b c c -> a } 122.05/31.20 122.05/31.20 122.05/31.20 Loop of length 18 starting with a string of length 6 using right expansion 122.05/31.20 and the encoding {a=a, b=b, c=c}: 122.05/31.20 122.05/31.20 .ba.aacc 122.05/31.20 rule ba -> acabb at position 0 122.05/31.20 .acabb.aacc 122.05/31.20 rule ba -> acabb at position 4 122.05/31.20 .acabacabb.acc 122.05/31.20 rule ba -> acabb at position 3 122.05/31.20 .acaacabbcabb.acc 122.05/31.20 rule a -> at position 9 122.05/31.20 .acaacabbcbb.acc 122.05/31.20 rule ba -> acabb at position 10 122.05/31.20 .acaacabbcbacabb.cc 122.05/31.20 rule ba -> acabb at position 9 122.05/31.20 .acaacabbcacabbcabb.cc 122.05/31.20 rule a -> at position 9 122.05/31.20 .acaacabbccabbcabb.cc 122.05/31.20 rule bcc -> a at position 7 122.05/31.20 .acaacabaabbcabb.cc 122.05/31.20 rule a -> at position 12 122.05/31.20 .acaacabaabbcbb.cc 122.05/31.20 rule bcc -> a at position 13 122.05/31.20 .acaacabaabbcba. 122.05/31.20 rule ba -> acabb at position 12 122.05/31.20 .acaacabaabbcacabb. 122.05/31.20 rule a -> at position 12 122.05/31.20 .acaacabaabbccabb. 122.05/31.20 rule bcc -> a at position 10 122.05/31.20 .acaacabaabaabb. 122.05/31.20 rule ba -> acabb at position 9 122.05/31.20 .acaacabaaacabbabb. 122.05/31.20 rule a -> at position 11 122.05/31.20 .acaacabaaacbbabb. 122.05/31.20 rule ba -> acabb at position 12 122.05/31.20 .acaacabaaacbacabbbb. 122.37/31.22 rule ba -> acabb at position 11 122.37/31.22 .acaacabaaacacabbcabbbb. 122.37/31.22 rule a -> at position 11 122.37/31.22 .acaacabaaaccabbcabbbb. 122.37/31.25 EOF