0.00/0.34 YES 0.00/0.36 0.00/0.36 0.00/0.36 The system was inverted. 0.00/0.36 0.00/0.36 Remains to prove termination of the 6-rule system 0.00/0.36 { a a c -> c c c , 0.00/0.36 a c b -> a a c , 0.00/0.36 b c a -> b a b , 0.00/0.36 a b c -> b a c , 0.00/0.36 b c b ->= a b c , 0.00/0.36 a c b ->= c c b } 0.00/0.36 0.00/0.36 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 0 1 | 0.00/0.36 | 0 1 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 0 | 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 0 0 0 | 0.00/0.36 \ / 0.00/0.36 0.00/0.36 Remains to prove termination of the 5-rule system 0.00/0.36 { a a c -> a c b , 0.00/0.36 b a b -> b c a , 0.00/0.36 b a c -> a b c , 0.00/0.36 a b c ->= b c b , 0.00/0.36 c c b ->= a c b } 0.00/0.36 0.00/0.36 0.00/0.36 Applying context closure of depth 1 in the following form: System R over Sigma 0.00/0.36 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 0.00/0.36 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 0.00/0.36 0.00/0.36 Remains to prove termination of the 45-rule system 0.00/0.36 { [a, a] [a, a] [a, c] [c, a] -> [a, a] [a, c] [c, b] [b, a] , 0.00/0.36 [a, b] [b, a] [a, b] [b, a] -> [a, b] [b, c] [c, a] [a, a] , 0.00/0.36 [a, b] [b, a] [a, c] [c, a] -> [a, a] [a, b] [b, c] [c, a] , 0.00/0.36 [a, a] [a, b] [b, c] [c, a] ->= [a, b] [b, c] [c, b] [b, a] , 0.00/0.36 [a, c] [c, c] [c, b] [b, a] ->= [a, a] [a, c] [c, b] [b, a] , 0.00/0.36 [a, a] [a, a] [a, c] [c, c] -> [a, a] [a, c] [c, b] [b, c] , 0.00/0.36 [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, c] [c, a] [a, c] , 0.00/0.36 [a, b] [b, a] [a, c] [c, c] -> [a, a] [a, b] [b, c] [c, c] , 0.00/0.36 [a, a] [a, b] [b, c] [c, c] ->= [a, b] [b, c] [c, b] [b, c] , 0.00/0.36 [a, c] [c, c] [c, b] [b, c] ->= [a, a] [a, c] [c, b] [b, c] , 0.00/0.36 [a, a] [a, a] [a, c] [c, b] -> [a, a] [a, c] [c, b] [b, b] , 0.00/0.36 [a, b] [b, a] [a, b] [b, b] -> [a, b] [b, c] [c, a] [a, b] , 0.00/0.36 [a, b] [b, a] [a, c] [c, b] -> [a, a] [a, b] [b, c] [c, b] , 0.00/0.36 [a, a] [a, b] [b, c] [c, b] ->= [a, b] [b, c] [c, b] [b, b] , 0.00/0.36 [a, c] [c, c] [c, b] [b, b] ->= [a, a] [a, c] [c, b] [b, b] , 0.00/0.36 [c, a] [a, a] [a, c] [c, a] -> [c, a] [a, c] [c, b] [b, a] , 0.00/0.36 [c, b] [b, a] [a, b] [b, a] -> [c, b] [b, c] [c, a] [a, a] , 0.00/0.36 [c, b] [b, a] [a, c] [c, a] -> [c, a] [a, b] [b, c] [c, a] , 0.00/0.36 [c, a] [a, b] [b, c] [c, a] ->= [c, b] [b, c] [c, b] [b, a] , 0.00/0.36 [c, c] [c, c] [c, b] [b, a] ->= [c, a] [a, c] [c, b] [b, a] , 0.00/0.36 [c, a] [a, a] [a, c] [c, c] -> [c, a] [a, c] [c, b] [b, c] , 0.00/0.36 [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, c] [c, a] [a, c] , 0.00/0.36 [c, b] [b, a] [a, c] [c, c] -> [c, a] [a, b] [b, c] [c, c] , 0.00/0.36 [c, a] [a, b] [b, c] [c, c] ->= [c, b] [b, c] [c, b] [b, c] , 0.00/0.36 [c, c] [c, c] [c, b] [b, c] ->= [c, a] [a, c] [c, b] [b, c] , 0.00/0.36 [c, a] [a, a] [a, c] [c, b] -> [c, a] [a, c] [c, b] [b, b] , 0.00/0.36 [c, b] [b, a] [a, b] [b, b] -> [c, b] [b, c] [c, a] [a, b] , 0.00/0.36 [c, b] [b, a] [a, c] [c, b] -> [c, a] [a, b] [b, c] [c, b] , 0.00/0.36 [c, a] [a, b] [b, c] [c, b] ->= [c, b] [b, c] [c, b] [b, b] , 0.00/0.36 [c, c] [c, c] [c, b] [b, b] ->= [c, a] [a, c] [c, b] [b, b] , 0.00/0.36 [b, a] [a, a] [a, c] [c, a] -> [b, a] [a, c] [c, b] [b, a] , 0.00/0.36 [b, b] [b, a] [a, b] [b, a] -> [b, b] [b, c] [c, a] [a, a] , 0.00/0.36 [b, b] [b, a] [a, c] [c, a] -> [b, a] [a, b] [b, c] [c, a] , 0.00/0.36 [b, a] [a, b] [b, c] [c, a] ->= [b, b] [b, c] [c, b] [b, a] , 0.00/0.36 [b, c] [c, c] [c, b] [b, a] ->= [b, a] [a, c] [c, b] [b, a] , 0.00/0.36 [b, a] [a, a] [a, c] [c, c] -> [b, a] [a, c] [c, b] [b, c] , 0.00/0.36 [b, b] [b, a] [a, b] [b, c] -> [b, b] [b, c] [c, a] [a, c] , 0.00/0.36 [b, b] [b, a] [a, c] [c, c] -> [b, a] [a, b] [b, c] [c, c] , 0.00/0.36 [b, a] [a, b] [b, c] [c, c] ->= [b, b] [b, c] [c, b] [b, c] , 0.00/0.36 [b, c] [c, c] [c, b] [b, c] ->= [b, a] [a, c] [c, b] [b, c] , 0.00/0.36 [b, a] [a, a] [a, c] [c, b] -> [b, a] [a, c] [c, b] [b, b] , 0.00/0.36 [b, b] [b, a] [a, b] [b, b] -> [b, b] [b, c] [c, a] [a, b] , 0.00/0.36 [b, b] [b, a] [a, c] [c, b] -> [b, a] [a, b] [b, c] [c, b] , 0.00/0.36 [b, a] [a, b] [b, c] [c, b] ->= [b, b] [b, c] [c, b] [b, b] , 0.00/0.36 [b, c] [c, c] [c, b] [b, b] ->= [b, a] [a, c] [c, b] [b, b] } 0.00/0.36 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 [a, 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 [a, 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 [c, 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 [c, 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 [b, 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 [a, 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 [b, 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 [c, 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 [b, 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 30-rule system 0.00/0.36 { [a, a] [a, a] [a, c] [c, a] -> [a, a] [a, c] [c, b] [b, a] , 0.00/0.36 [a, b] [b, a] [a, b] [b, a] -> [a, b] [b, c] [c, a] [a, a] , 0.00/0.36 [a, b] [b, a] [a, c] [c, a] -> [a, a] [a, b] [b, c] [c, a] , 0.00/0.36 [a, a] [a, b] [b, c] [c, a] ->= [a, b] [b, c] [c, b] [b, a] , 0.00/0.36 [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, c] [c, a] [a, c] , 0.00/0.36 [a, b] [b, a] [a, c] [c, c] -> [a, a] [a, b] [b, c] [c, c] , 0.00/0.36 [a, a] [a, a] [a, c] [c, b] -> [a, a] [a, c] [c, b] [b, b] , 0.00/0.36 [a, b] [b, a] [a, b] [b, b] -> [a, b] [b, c] [c, a] [a, b] , 0.00/0.36 [a, b] [b, a] [a, c] [c, b] -> [a, a] [a, b] [b, c] [c, b] , 0.00/0.36 [a, a] [a, b] [b, c] [c, b] ->= [a, b] [b, c] [c, b] [b, b] , 0.00/0.36 [c, a] [a, a] [a, c] [c, a] -> [c, a] [a, c] [c, b] [b, a] , 0.00/0.36 [c, b] [b, a] [a, b] [b, a] -> [c, b] [b, c] [c, a] [a, a] , 0.00/0.36 [c, b] [b, a] [a, c] [c, a] -> [c, a] [a, b] [b, c] [c, a] , 0.00/0.36 [c, a] [a, b] [b, c] [c, a] ->= [c, b] [b, c] [c, b] [b, a] , 0.00/0.36 [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, c] [c, a] [a, c] , 0.00/0.36 [c, b] [b, a] [a, c] [c, c] -> [c, a] [a, b] [b, c] [c, c] , 0.00/0.36 [c, a] [a, a] [a, c] [c, b] -> [c, a] [a, c] [c, b] [b, b] , 0.00/0.36 [c, b] [b, a] [a, b] [b, b] -> [c, b] [b, c] [c, a] [a, b] , 0.00/0.36 [c, b] [b, a] [a, c] [c, b] -> [c, a] [a, b] [b, c] [c, b] , 0.00/0.36 [c, a] [a, b] [b, c] [c, b] ->= [c, b] [b, c] [c, b] [b, b] , 0.00/0.36 [b, a] [a, a] [a, c] [c, a] -> [b, a] [a, c] [c, b] [b, a] , 0.00/0.36 [b, b] [b, a] [a, b] [b, a] -> [b, b] [b, c] [c, a] [a, a] , 0.00/0.36 [b, b] [b, a] [a, c] [c, a] -> [b, a] [a, b] [b, c] [c, a] , 0.00/0.36 [b, a] [a, b] [b, c] [c, a] ->= [b, b] [b, c] [c, b] [b, a] , 0.00/0.36 [b, b] [b, a] [a, b] [b, c] -> [b, b] [b, c] [c, a] [a, c] , 0.00/0.36 [b, b] [b, a] [a, c] [c, c] -> [b, a] [a, b] [b, c] [c, c] , 0.00/0.36 [b, a] [a, a] [a, c] [c, b] -> [b, a] [a, c] [c, b] [b, b] , 0.00/0.36 [b, b] [b, a] [a, b] [b, b] -> [b, b] [b, c] [c, a] [a, b] , 0.00/0.36 [b, b] [b, a] [a, c] [c, b] -> [b, a] [a, b] [b, c] [c, b] , 0.00/0.36 [b, a] [a, b] [b, c] [c, b] ->= [b, b] [b, c] [c, b] [b, b] } 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 [a, 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 [a, 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 [c, a] is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 2 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 [c, b] 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, a] is interpreted by 0.00/0.36 / \ 0.00/0.36 | 1 2 | 0.00/0.36 | 0 1 | 0.00/0.36 \ / 0.00/0.36 [a, 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 [b, 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 [c, 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 [b, 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 14-rule system 0.00/0.36 { [a, a] [a, a] [a, c] [c, a] -> [a, a] [a, c] [c, b] [b, a] , 0.00/0.36 [a, a] [a, b] [b, c] [c, a] ->= [a, b] [b, c] [c, b] [b, a] , 0.00/0.36 [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, c] [c, a] [a, c] , 0.00/0.36 [a, b] [b, a] [a, b] [b, b] -> [a, b] [b, c] [c, a] [a, b] , 0.00/0.36 [c, a] [a, a] [a, c] [c, a] -> [c, a] [a, c] [c, b] [b, a] , 0.00/0.36 [c, a] [a, b] [b, c] [c, a] ->= [c, b] [b, c] [c, b] [b, a] , 0.00/0.36 [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, c] [c, a] [a, c] , 0.00/0.36 [c, b] [b, a] [a, b] [b, b] -> [c, b] [b, c] [c, a] [a, b] , 0.00/0.36 [b, a] [a, a] [a, c] [c, a] -> [b, a] [a, c] [c, b] [b, a] , 0.00/0.36 [b, b] [b, a] [a, c] [c, a] -> [b, a] [a, b] [b, c] [c, a] , 0.00/0.36 [b, b] [b, a] [a, b] [b, c] -> [b, b] [b, c] [c, a] [a, c] , 0.00/0.36 [b, b] [b, a] [a, c] [c, c] -> [b, a] [a, b] [b, c] [c, c] , 0.00/0.36 [b, b] [b, a] [a, b] [b, b] -> [b, b] [b, c] [c, a] [a, b] , 0.00/0.36 [b, b] [b, a] [a, c] [c, b] -> [b, a] [a, b] [b, c] [c, b] } 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 [a, 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 [a, 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 [c, 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 [c, 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 [b, 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 [a, 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 [b, 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 [c, 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 [b, 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 10-rule system 0.00/0.36 { [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, c] [c, a] [a, c] , 0.00/0.36 [a, b] [b, a] [a, b] [b, b] -> [a, b] [b, c] [c, a] [a, b] , 0.00/0.36 [c, a] [a, b] [b, c] [c, a] ->= [c, b] [b, c] [c, b] [b, a] , 0.00/0.36 [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, c] [c, a] [a, c] , 0.00/0.36 [c, b] [b, a] [a, b] [b, b] -> [c, b] [b, c] [c, a] [a, b] , 0.00/0.36 [b, b] [b, a] [a, c] [c, a] -> [b, a] [a, b] [b, c] [c, a] , 0.00/0.36 [b, b] [b, a] [a, b] [b, c] -> [b, b] [b, c] [c, a] [a, c] , 0.00/0.36 [b, b] [b, a] [a, c] [c, c] -> [b, a] [a, b] [b, c] [c, c] , 0.00/0.36 [b, b] [b, a] [a, b] [b, b] -> [b, b] [b, c] [c, a] [a, b] , 0.00/0.36 [b, b] [b, a] [a, c] [c, b] -> [b, a] [a, b] [b, c] [c, b] } 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 [a, 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 [a, 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 [c, 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 [c, 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 [b, 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 [a, 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 [b, 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 [c, 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 [b, b] 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 0.00/0.36 Remains to prove termination of the 4-rule system 0.00/0.36 { [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, c] [c, a] [a, c] , 0.00/0.36 [c, a] [a, b] [b, c] [c, a] ->= [c, b] [b, c] [c, b] [b, a] , 0.00/0.36 [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, c] [c, a] [a, c] , 0.00/0.36 [b, b] [b, a] [a, b] [b, c] -> [b, b] [b, c] [c, a] [a, 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 [a, 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 [a, 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 [c, 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 [c, 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 [b, 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 [a, b] 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, 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 [c, 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 [b, 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 0-rule system 0.00/0.36 { } 0.00/0.36 0.00/0.36 0.00/0.36 The system is trivially terminating. 0.00/0.39 EOF