10.71/3.00 YES 11.02/3.02 11.02/3.02 11.02/3.02 The system was filtered by the following matrix interpretation 11.02/3.02 of type E_J with J = {1,...,2} and dimension 6: 11.02/3.02 11.02/3.02 b is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 1 1 0 1 0 | 11.02/3.02 | 0 1 0 0 0 0 | 11.02/3.02 | 0 0 0 1 0 0 | 11.02/3.02 | 0 1 0 0 0 0 | 11.02/3.02 | 0 0 0 0 0 0 | 11.02/3.02 | 0 1 0 0 0 1 | 11.02/3.02 \ / 11.02/3.02 c is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 0 1 0 1 0 | 11.02/3.02 | 0 1 0 0 0 0 | 11.02/3.02 | 0 1 0 0 0 0 | 11.02/3.02 | 0 0 0 1 0 0 | 11.02/3.02 | 0 0 0 0 0 1 | 11.02/3.02 | 0 0 0 0 0 0 | 11.02/3.02 \ / 11.02/3.02 a is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 1 1 1 1 0 | 11.02/3.02 | 0 1 0 0 0 0 | 11.02/3.02 | 0 1 0 0 0 0 | 11.02/3.02 | 0 1 0 0 0 0 | 11.02/3.02 | 0 0 0 0 0 0 | 11.02/3.02 | 0 0 0 0 0 0 | 11.02/3.02 \ / 11.02/3.02 11.02/3.02 Remains to prove termination of the 4-rule system 11.02/3.02 { b c b -> b a c , 11.02/3.02 b a c -> b c a , 11.02/3.02 a c c ->= c c b , 11.02/3.02 a c a ->= a b b } 11.02/3.02 11.02/3.02 11.02/3.02 The system was filtered by the following matrix interpretation 11.02/3.02 of type E_J with J = {1,...,2} and dimension 2: 11.02/3.02 11.02/3.02 b is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 0 | 11.02/3.02 | 0 1 | 11.02/3.02 \ / 11.02/3.02 c is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 1 | 11.02/3.02 | 0 1 | 11.02/3.02 \ / 11.02/3.02 a is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 0 | 11.02/3.02 | 0 1 | 11.02/3.02 \ / 11.02/3.02 11.02/3.02 Remains to prove termination of the 3-rule system 11.02/3.02 { b c b -> b a c , 11.02/3.02 b a c -> b c a , 11.02/3.02 a c c ->= c c b } 11.02/3.02 11.02/3.02 11.02/3.02 The system was filtered by the following matrix interpretation 11.02/3.02 of type E_J with J = {1,...,2} and dimension 4: 11.02/3.02 11.02/3.02 b is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 0 1 1 | 11.02/3.02 | 0 1 0 0 | 11.02/3.02 | 0 2 0 0 | 11.02/3.02 | 0 0 0 0 | 11.02/3.02 \ / 11.02/3.02 c is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 0 0 0 | 11.02/3.02 | 0 2 0 0 | 11.02/3.02 | 0 0 1 1 | 11.02/3.02 | 0 1 0 0 | 11.02/3.02 \ / 11.02/3.02 a is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 0 1 0 | 11.02/3.02 | 0 1 0 0 | 11.02/3.02 | 0 1 0 0 | 11.02/3.02 | 0 0 0 1 | 11.02/3.02 \ / 11.02/3.02 11.02/3.02 Remains to prove termination of the 1-rule system 11.02/3.02 { b c b -> b a c } 11.02/3.02 11.02/3.02 11.02/3.02 The system was filtered by the following matrix interpretation 11.02/3.02 of type E_J with J = {1,...,2} and dimension 2: 11.02/3.02 11.02/3.02 b is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 1 | 11.02/3.02 | 0 1 | 11.02/3.02 \ / 11.02/3.02 c is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 0 | 11.02/3.02 | 0 1 | 11.02/3.02 \ / 11.02/3.02 a is interpreted by 11.02/3.02 / \ 11.02/3.02 | 1 0 | 11.02/3.02 | 0 1 | 11.02/3.02 \ / 11.02/3.02 11.02/3.02 Remains to prove termination of the 0-rule system 11.02/3.02 { } 11.02/3.02 11.02/3.02 11.02/3.02 The system is trivially terminating. 11.02/3.04 EOF