4.53/1.37 YES 4.53/1.38 4.53/1.38 4.53/1.38 The system was filtered by the following matrix interpretation 4.53/1.38 of type E_J with J = {1,...,2} and dimension 10: 4.53/1.38 4.53/1.38 a is interpreted by 4.53/1.38 / \ 4.53/1.38 | 1 0 1 0 0 0 0 0 0 0 | 4.53/1.38 | 0 1 0 0 0 0 0 0 0 0 | 4.53/1.38 | 0 0 0 0 0 0 0 0 0 0 | 4.53/1.38 | 0 0 0 0 0 0 0 0 0 0 | 4.53/1.38 | 0 0 0 0 0 0 0 0 0 0 | 4.53/1.38 | 0 0 1 0 0 0 1 0 0 0 | 4.53/1.38 | 0 0 1 0 0 0 0 2 0 0 | 4.53/1.38 | 0 0 0 0 0 0 0 0 1 0 | 4.53/1.38 | 0 0 1 0 0 0 0 0 0 1 | 4.53/1.38 | 0 1 1 0 0 1 0 0 0 0 | 4.53/1.38 \ / 4.53/1.38 b is interpreted by 4.53/1.38 / \ 4.53/1.38 | 1 0 0 0 0 0 0 0 0 0 | 4.53/1.38 | 0 1 0 0 0 0 0 0 0 0 | 4.53/1.38 | 0 0 0 1 0 0 0 0 0 0 | 4.53/1.38 | 0 0 0 0 1 0 0 0 0 0 | 4.53/1.38 | 0 0 0 0 0 1 0 0 0 0 | 4.53/1.38 | 0 0 0 0 0 0 0 0 0 0 | 4.53/1.38 | 0 0 0 0 0 0 0 0 0 0 | 4.53/1.38 | 0 0 0 0 0 0 0 0 0 0 | 4.53/1.38 | 0 0 0 1 0 0 0 0 0 0 | 4.53/1.38 | 0 0 0 0 0 0 0 0 0 0 | 4.53/1.38 \ / 4.53/1.38 4.53/1.38 Remains to prove termination of the 0-rule system 4.53/1.38 { } 4.53/1.38 4.53/1.38 4.53/1.38 The system is trivially terminating. 4.77/1.42 EOF