0.00/0.39 YES 0.00/0.41 0.00/0.41 0.00/0.41 The system was filtered by the following matrix interpretation 0.00/0.41 of type E_J with J = {1,...,2} and dimension 7: 0.00/0.41 0.00/0.41 a is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 1 0 0 0 0 | 0.00/0.41 | 0 1 0 0 0 0 0 | 0.00/0.41 | 0 0 0 0 1 0 0 | 0.00/0.41 | 0 0 0 0 0 0 0 | 0.00/0.41 | 0 0 0 0 0 0 0 | 0.00/0.41 | 0 0 0 0 0 1 1 | 0.00/0.41 | 0 1 0 0 0 0 0 | 0.00/0.41 \ / 0.00/0.41 b is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 0 0 0 0 0 | 0.00/0.41 | 0 1 0 0 0 0 0 | 0.00/0.41 | 0 0 0 0 0 0 0 | 0.00/0.41 | 0 1 1 0 0 0 0 | 0.00/0.41 | 0 0 0 0 0 1 0 | 0.00/0.41 | 0 0 0 0 0 0 0 | 0.00/0.41 | 0 0 0 0 0 0 0 | 0.00/0.41 \ / 0.00/0.41 c is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 0 0 0 0 0 | 0.00/0.41 | 0 1 0 0 0 0 0 | 0.00/0.41 | 0 0 0 1 0 0 0 | 0.00/0.41 | 0 0 0 0 0 0 0 | 0.00/0.41 | 0 0 0 0 0 0 0 | 0.00/0.41 | 0 0 0 0 0 0 0 | 0.00/0.41 | 0 1 0 0 0 0 0 | 0.00/0.41 \ / 0.00/0.41 0.00/0.41 Remains to prove termination of the 1-rule system 0.00/0.41 { a b a a -> c b a b a } 0.00/0.41 0.00/0.41 0.00/0.41 The system was filtered by the following matrix interpretation 0.00/0.41 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.41 0.00/0.41 a is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 1 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 b is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 c is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 0.00/0.41 Remains to prove termination of the 0-rule system 0.00/0.41 { } 0.00/0.41 0.00/0.41 0.00/0.41 The system is trivially terminating. 0.00/0.45 EOF