0.00/0.33 YES 0.00/0.34 0.00/0.34 0.00/0.34 0.00/0.34 0.00/0.34 The system was filtered by the following matrix interpretation 0.00/0.34 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.34 0.00/0.34 a is interpreted by 0.00/0.34 / \ 0.00/0.34 | 1 0 1 0 | 0.00/0.34 | 0 1 0 0 | 0.00/0.34 | 0 0 0 0 | 0.00/0.34 | 0 1 0 0 | 0.00/0.34 \ / 0.00/0.34 b is interpreted by 0.00/0.34 / \ 0.00/0.34 | 1 0 0 0 | 0.00/0.34 | 0 1 0 0 | 0.00/0.34 | 0 0 0 1 | 0.00/0.34 | 0 0 0 0 | 0.00/0.34 \ / 0.00/0.34 0.00/0.34 Remains to prove termination of the 3-rule system 0.00/0.34 { b a b -> b a a b , 0.00/0.34 a ->= a a a , 0.00/0.34 b ->= b b b } 0.00/0.34 0.00/0.34 0.00/0.34 The system was filtered by the following matrix interpretation 0.00/0.34 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.34 0.00/0.34 a is interpreted by 0.00/0.34 / \ 0.00/0.34 | 1 0 0 0 | 0.00/0.34 | 0 1 0 0 | 0.00/0.34 | 0 0 0 1 | 0.00/0.34 | 0 0 0 0 | 0.00/0.34 \ / 0.00/0.34 b is interpreted by 0.00/0.34 / \ 0.00/0.34 | 1 0 1 0 | 0.00/0.34 | 0 1 0 0 | 0.00/0.34 | 0 0 0 0 | 0.00/0.34 | 0 1 0 0 | 0.00/0.34 \ / 0.00/0.34 0.00/0.34 Remains to prove termination of the 2-rule system 0.00/0.34 { a ->= a a a , 0.00/0.34 b ->= b b b } 0.00/0.34 0.00/0.34 0.00/0.34 The system is trivially terminating. 0.00/0.38 EOF