0.00/0.48 YES 0.00/0.49 0.00/0.49 0.00/0.49 The system was filtered by the following matrix interpretation 0.00/0.49 of type E_J with J = {1,...,2} and dimension 8: 0.00/0.49 0.00/0.49 a is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 1 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 1 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 1 0 0 0 2 0 | 0.00/0.49 | 0 0 0 0 0 0 0 1 | 0.00/0.49 | 0 1 1 1 0 1 0 0 | 0.00/0.49 \ / 0.00/0.49 b is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 0 0 0 0 0 0 | 0.00/0.49 | 0 1 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 1 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 1 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 0 0 0 0 0 | 0.00/0.49 | 0 0 0 1 0 0 0 0 | 0.00/0.49 \ / 0.00/0.49 0.00/0.49 Remains to prove termination of the 0-rule system 0.00/0.49 { } 0.00/0.49 0.00/0.49 0.00/0.49 The system is trivially terminating. 1.27/0.52 EOF