6.20/1.87 YES 6.20/1.88 6.20/1.88 6.20/1.88 The system was filtered by the following matrix interpretation 6.20/1.88 of type E_J with J = {1,...,2} and dimension 5: 6.20/1.88 6.20/1.88 a is interpreted by 6.20/1.88 / \ 6.20/1.88 | 1 0 1 0 0 | 6.20/1.88 | 0 1 0 0 0 | 6.20/1.88 | 0 0 0 1 0 | 6.20/1.88 | 0 0 0 0 1 | 6.20/1.88 | 0 0 2 0 0 | 6.20/1.88 \ / 6.20/1.88 b is interpreted by 6.20/1.88 / \ 6.20/1.88 | 1 0 0 0 0 | 6.20/1.88 | 0 1 0 0 0 | 6.20/1.88 | 0 0 0 0 0 | 6.20/1.88 | 0 1 1 1 1 | 6.20/1.88 | 0 0 0 0 0 | 6.20/1.88 \ / 6.20/1.88 c is interpreted by 6.20/1.88 / \ 6.20/1.88 | 1 0 1 0 0 | 6.20/1.88 | 0 1 0 0 0 | 6.20/1.88 | 0 0 0 0 0 | 6.20/1.88 | 0 0 0 0 0 | 6.20/1.88 | 0 1 2 1 1 | 6.20/1.88 \ / 6.20/1.88 6.20/1.88 Remains to prove termination of the 1-rule system 6.20/1.88 { a c -> b a } 6.20/1.88 6.20/1.88 6.20/1.88 The system was filtered by the following matrix interpretation 6.20/1.88 of type E_J with J = {1,...,2} and dimension 2: 6.20/1.88 6.20/1.88 a is interpreted by 6.20/1.88 / \ 6.20/1.88 | 1 0 | 6.20/1.88 | 0 1 | 6.20/1.88 \ / 6.20/1.88 b is interpreted by 6.20/1.88 / \ 6.20/1.88 | 1 0 | 6.20/1.88 | 0 1 | 6.20/1.88 \ / 6.20/1.88 c is interpreted by 6.20/1.88 / \ 6.20/1.88 | 1 1 | 6.20/1.88 | 0 1 | 6.20/1.88 \ / 6.20/1.88 6.20/1.88 Remains to prove termination of the 0-rule system 6.20/1.88 { } 6.20/1.88 6.20/1.88 6.20/1.88 The system is trivially terminating. 6.60/1.94 EOF