0.00/0.34 YES 0.00/0.36 0.00/0.36 0.00/0.36 The system was filtered by the following matrix interpretation 0.00/0.36 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.36 0.00/0.36 c is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 a is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 1 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 b is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 0.00/0.36 Remains to prove termination of the 3-rule system 0.00/0.36 { c a b -> a b c , 0.00/0.36 a b a -> c a a , 0.00/0.36 c c c -> b c c } 0.00/0.36 0.00/0.36 0.00/0.36 The system was filtered by the following matrix interpretation 0.00/0.36 of type E_J with J = {1,...,2} and dimension 6: 0.00/0.36 0.00/0.36 c is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 0 0 0 0 | 0.00/0.36 | 0 1 0 0 0 0 | 0.00/0.36 | 0 0 0 0 1 0 | 0.00/0.36 | 0 0 0 1 0 0 | 0.00/0.36 | 0 0 0 0 0 1 | 0.00/0.36 | 0 0 0 1 0 1 | 0.00/0.36 \ / 0.00/0.36 a is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 1 0 0 0 | 0.00/0.36 | 0 1 0 0 0 0 | 0.00/0.36 | 0 0 0 0 0 0 | 0.00/0.36 | 0 1 0 0 0 0 | 0.00/0.36 | 0 0 0 0 0 0 | 0.00/0.36 | 0 0 1 0 0 0 | 0.00/0.36 \ / 0.00/0.36 b is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 0 0 0 0 | 0.00/0.36 | 0 1 0 0 0 0 | 0.00/0.36 | 0 0 0 1 0 0 | 0.00/0.36 | 0 0 0 0 0 0 | 0.00/0.36 | 0 0 0 0 0 0 | 0.00/0.36 | 0 0 0 0 0 0 | 0.00/0.36 \ / 0.00/0.36 0.00/0.36 Remains to prove termination of the 2-rule system 0.00/0.36 { c a b -> a b c , 0.00/0.36 c c c -> b c c } 0.00/0.36 0.00/0.36 0.00/0.36 The system was filtered by the following matrix interpretation 0.00/0.36 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.36 0.00/0.36 c is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 1 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 a is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 b is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 0.00/0.36 Remains to prove termination of the 1-rule system 0.00/0.36 { c a b -> a b c } 0.00/0.36 0.00/0.36 0.00/0.36 The system was filtered by the following matrix interpretation 0.00/0.36 of type E_J with J = {1,...,2} and dimension 4: 0.00/0.36 0.00/0.36 c is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 1 0 | 0.00/0.36 | 0 1 0 0 | 0.00/0.36 | 0 0 1 0 | 0.00/0.36 | 0 0 0 0 | 0.00/0.36 \ / 0.00/0.36 a is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 0 0 | 0.00/0.36 | 0 1 0 0 | 0.00/0.36 | 0 0 0 1 | 0.00/0.36 | 0 0 0 0 | 0.00/0.36 \ / 0.00/0.36 b is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 0 0 0 | 0.00/0.36 | 0 1 0 0 | 0.00/0.36 | 0 0 0 0 | 0.00/0.36 | 0 1 1 0 | 0.00/0.36 \ / 0.00/0.36 0.00/0.36 Remains to prove termination of the 0-rule system 0.00/0.36 { } 0.00/0.36 0.00/0.36 0.00/0.36 The system is trivially terminating. 0.00/0.38 EOF