0.00/0.36 YES 0.00/0.38 0.00/0.38 0.00/0.38 The system was filtered by the following matrix interpretation 0.00/0.38 of type E_J with J = {1,...,2} and dimension 8: 0.00/0.38 0.00/0.38 b is interpreted by 0.00/0.38 / \ 0.00/0.38 | 1 0 0 0 0 0 0 0 | 0.00/0.38 | 0 1 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 1 0 | 0.00/0.38 | 0 0 0 0 1 0 0 0 | 0.00/0.38 | 0 0 0 0 0 1 0 0 | 0.00/0.38 | 0 0 0 1 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 0 1 | 0.00/0.38 | 0 0 1 0 0 0 0 0 | 0.00/0.38 \ / 0.00/0.38 c is interpreted by 0.00/0.38 / \ 0.00/0.38 | 1 0 1 0 0 0 0 0 | 0.00/0.38 | 0 1 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 1 0 0 1 0 | 0.00/0.38 | 0 1 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 0 0 | 0.00/0.38 \ / 0.00/0.38 a is interpreted by 0.00/0.38 / \ 0.00/0.38 | 1 0 0 0 0 0 1 0 | 0.00/0.38 | 0 1 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 0 0 | 0.00/0.38 | 0 0 0 0 0 0 0 0 | 0.00/0.38 \ / 0.00/0.38 0.00/0.38 Remains to prove termination of the 2-rule system 0.00/0.38 { b b b -> , 0.00/0.38 a ->= a c b } 0.00/0.38 0.00/0.38 0.00/0.38 The system was filtered by the following matrix interpretation 0.00/0.38 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.38 0.00/0.38 b is interpreted by 0.00/0.38 / \ 0.00/0.38 | 1 0 1 0 | 0.00/0.38 | 0 1 0 0 | 0.00/0.38 | 0 0 0 1 | 0.00/0.38 | 1 1 0 0 | 0.00/0.38 \ / 0.00/0.38 c is interpreted by 0.00/0.38 / \ 0.00/0.38 | 1 0 0 0 | 0.00/0.38 | 0 1 0 0 | 0.00/0.38 | 0 0 0 0 | 0.00/0.38 | 0 0 0 0 | 0.00/0.38 \ / 0.00/0.38 a is interpreted by 0.00/0.38 / \ 0.00/0.38 | 1 0 1 0 | 0.00/0.38 | 0 1 0 0 | 0.00/0.38 | 0 0 0 0 | 0.00/0.38 | 0 0 0 0 | 0.00/0.38 \ / 0.00/0.38 0.00/0.38 Remains to prove termination of the 1-rule system 0.00/0.38 { a ->= a c b } 0.00/0.38 0.00/0.38 0.00/0.38 The system is trivially terminating. 0.00/0.42 EOF