0.00/0.42 YES 0.00/0.43 0.00/0.43 0.00/0.43 The system was filtered by the following matrix interpretation 0.00/0.43 of type E_J with J = {1,...,2} and dimension 8: 0.00/0.43 0.00/0.43 a is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 1 0 0 1 0 0 | 0.00/0.43 | 0 1 0 0 0 0 0 0 | 0.00/0.43 | 0 0 0 0 0 0 0 0 | 0.00/0.43 | 0 1 0 0 1 0 0 0 | 0.00/0.43 | 0 0 0 0 0 0 0 0 | 0.00/0.43 | 0 0 0 0 0 0 0 0 | 0.00/0.43 | 0 1 0 0 0 0 0 0 | 0.00/0.43 | 0 1 0 0 0 0 0 0 | 0.00/0.43 \ / 0.00/0.43 b is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 0 0 0 0 0 0 | 0.00/0.43 | 0 1 0 0 0 0 0 0 | 0.00/0.43 | 0 0 0 1 0 0 0 0 | 0.00/0.43 | 0 0 0 0 0 0 0 0 | 0.00/0.43 | 0 0 0 0 0 0 0 0 | 0.00/0.43 | 0 0 0 0 0 0 0 0 | 0.00/0.43 | 0 0 0 0 0 0 0 0 | 0.00/0.43 | 0 0 0 0 0 0 0 0 | 0.00/0.43 \ / 0.00/0.43 c is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 0 0 1 0 0 0 | 0.00/0.43 | 0 1 0 0 0 0 0 0 | 0.00/0.43 | 0 0 0 0 0 0 0 0 | 0.00/0.43 | 0 0 0 0 0 0 1 0 | 0.00/0.43 | 0 0 0 0 0 1 0 0 | 0.00/0.43 | 0 0 1 0 0 0 0 0 | 0.00/0.43 | 0 0 0 0 0 0 0 1 | 0.00/0.43 | 0 1 0 0 0 0 0 0 | 0.00/0.43 \ / 0.00/0.43 0.00/0.43 Remains to prove termination of the 2-rule system 0.00/0.43 { c c c -> a c a , 0.00/0.43 a ->= b c b } 0.00/0.43 0.00/0.43 0.00/0.43 The system was filtered by the following matrix interpretation 0.00/0.43 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.43 0.00/0.43 a is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 0 0 | 0.00/0.43 | 0 1 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 \ / 0.00/0.43 b is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 0 0 | 0.00/0.43 | 0 1 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 | 0 0 0 0 | 0.00/0.43 \ / 0.00/0.43 c is interpreted by 0.00/0.43 / \ 0.00/0.43 | 1 0 1 0 | 0.00/0.43 | 0 1 0 0 | 0.00/0.43 | 0 0 0 1 | 0.00/0.43 | 0 1 0 0 | 0.00/0.43 \ / 0.00/0.43 0.00/0.43 Remains to prove termination of the 1-rule system 0.00/0.43 { a ->= b c b } 0.00/0.43 0.00/0.43 0.00/0.43 The system is trivially terminating. 0.00/0.47 EOF