0.00/0.33 YES 0.00/0.35 0.00/0.35 0.00/0.35 The system was filtered by the following matrix interpretation 0.00/0.35 of type E_J with J = {1,...,2} and dimension 6: 0.00/0.35 0.00/0.35 b is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 1 | 0.00/0.35 | 0 1 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 1 0 | 0.00/0.35 | 0 1 0 1 0 0 | 0.00/0.35 | 0 0 1 0 0 0 | 0.00/0.35 \ / 0.00/0.35 c is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 1 0 0 0 | 0.00/0.35 | 0 1 0 0 0 0 | 0.00/0.35 | 0 0 0 1 0 0 | 0.00/0.35 | 0 1 0 0 0 1 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 a is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 0 0 1 | 0.00/0.35 | 0 1 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 | 0 0 0 0 0 0 | 0.00/0.35 \ / 0.00/0.35 0.00/0.35 Remains to prove termination of the 2-rule system 0.00/0.35 { b b -> c b c , 0.00/0.35 a ->= a c b } 0.00/0.35 0.00/0.35 0.00/0.35 The system was filtered by the following matrix interpretation 0.00/0.35 of type E_J with J = {1,...,2} and dimension 3: 0.00/0.35 0.00/0.35 b is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 1 | 0.00/0.35 | 0 1 0 | 0.00/0.35 | 0 1 0 | 0.00/0.35 \ / 0.00/0.35 c is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 0 | 0.00/0.35 | 0 1 0 | 0.00/0.35 | 0 0 0 | 0.00/0.35 \ / 0.00/0.35 a is interpreted by 0.00/0.35 / \ 0.00/0.35 | 1 0 1 | 0.00/0.35 | 0 1 0 | 0.00/0.35 | 0 0 0 | 0.00/0.35 \ / 0.00/0.35 0.00/0.35 Remains to prove termination of the 1-rule system 0.00/0.35 { a ->= a c b } 0.00/0.35 0.00/0.35 0.00/0.35 The system is trivially terminating. 0.00/0.38 EOF