3.31/1.09 YES 3.31/1.11 3.31/1.11 3.31/1.11 The system was filtered by the following matrix interpretation 3.31/1.11 of type E_J with J = {1,...,2} and dimension 9: 3.31/1.11 3.31/1.11 a is interpreted by 3.31/1.11 / \ 3.31/1.11 | 1 0 1 0 0 0 0 0 0 | 3.31/1.11 | 0 1 0 0 0 0 0 0 0 | 3.31/1.11 | 0 0 0 0 0 0 0 0 0 | 3.31/1.11 | 0 0 1 0 1 0 0 0 0 | 3.31/1.11 | 0 0 1 0 0 1 0 0 0 | 3.31/1.11 | 0 0 1 0 0 0 1 0 0 | 3.31/1.11 | 0 0 0 0 0 0 0 1 0 | 3.31/1.11 | 0 0 1 0 0 0 0 0 2 | 3.31/1.11 | 0 1 1 1 0 0 0 0 0 | 3.31/1.11 \ / 3.31/1.11 b is interpreted by 3.31/1.11 / \ 3.31/1.11 | 1 0 0 0 0 0 0 0 0 | 3.31/1.11 | 0 1 0 0 0 0 0 0 0 | 3.31/1.11 | 0 0 0 1 0 0 0 0 0 | 3.31/1.11 | 0 0 0 0 0 0 0 0 0 | 3.31/1.11 | 0 0 0 0 0 0 0 0 0 | 3.31/1.11 | 0 0 0 0 0 0 0 0 0 | 3.31/1.11 | 0 0 0 0 0 0 0 0 0 | 3.31/1.11 | 0 0 0 1 0 0 0 0 0 | 3.31/1.11 | 0 0 0 0 0 0 0 0 0 | 3.31/1.11 \ / 3.31/1.11 3.31/1.11 Remains to prove termination of the 0-rule system 3.31/1.11 { } 3.31/1.11 3.31/1.11 3.31/1.11 The system is trivially terminating. 3.64/1.15 EOF