1.90/0.68 YES 1.90/0.70 1.90/0.70 1.90/0.70 The system was filtered by the following matrix interpretation 1.90/0.70 of type E_J with J = {1,...,2} and dimension 10: 1.90/0.70 1.90/0.70 a is interpreted by 1.90/0.70 / \ 1.90/0.70 | 1 0 1 0 0 0 0 0 0 0 | 1.90/0.70 | 0 1 0 0 0 0 0 0 0 0 | 1.90/0.70 | 0 0 0 0 0 0 0 0 0 0 | 1.90/0.70 | 0 0 0 0 1 0 0 0 0 0 | 1.90/0.70 | 0 0 0 0 0 1 0 0 0 0 | 1.90/0.70 | 0 0 0 0 0 0 0 0 0 0 | 1.90/0.70 | 0 0 1 0 0 0 0 1 0 0 | 1.90/0.70 | 0 0 1 0 0 0 0 0 2 0 | 1.90/0.70 | 0 0 1 0 0 0 0 0 0 1 | 1.90/0.70 | 0 1 1 1 0 0 1 0 0 0 | 1.90/0.70 \ / 1.90/0.70 b is interpreted by 1.90/0.70 / \ 1.90/0.70 | 1 0 0 0 0 0 0 0 0 0 | 1.90/0.70 | 0 1 0 0 0 0 0 0 0 0 | 1.90/0.70 | 0 0 0 1 0 0 0 0 0 0 | 1.90/0.70 | 0 0 0 0 0 0 0 0 0 0 | 1.90/0.70 | 0 0 0 0 0 0 0 0 0 0 | 1.90/0.70 | 0 0 0 0 0 0 1 0 0 0 | 1.90/0.70 | 0 0 0 0 0 0 0 0 0 0 | 1.90/0.70 | 0 0 0 0 0 0 0 0 0 0 | 1.90/0.70 | 0 0 0 0 0 0 0 0 0 0 | 1.90/0.70 | 0 0 0 0 0 0 0 0 0 0 | 1.90/0.70 \ / 1.90/0.70 1.90/0.70 Remains to prove termination of the 0-rule system 1.90/0.70 { } 1.90/0.70 1.90/0.70 1.90/0.70 The system is trivially terminating. 2.09/0.73 EOF