8.43/2.41 YES 8.43/2.46 8.43/2.46 8.43/2.46 Applying context closure of depth 1 in the following form: System R over Sigma 8.43/2.46 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 8.43/2.46 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 8.43/2.46 8.43/2.46 Remains to prove termination of the 4-rule system 8.43/2.46 { [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] , 8.43/2.46 [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, b] , 8.43/2.46 [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] , 8.43/2.46 [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, b] } 8.43/2.46 8.43/2.46 8.43/2.46 8.43/2.46 The system was filtered by the following matrix interpretation 8.43/2.46 of type E_J with J = {1,...,2} and dimension 13: 8.43/2.46 8.43/2.46 [a, a] is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 [a, b] is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 [b, a] is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 [b, b] is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 8.43/2.46 Remains to prove termination of the 3-rule system 8.43/2.46 { [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] , 8.43/2.46 [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] , 8.43/2.46 [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, b] } 8.43/2.46 8.43/2.46 8.43/2.46 The system was reversed. 8.43/2.46 8.43/2.46 Remains to prove termination of the 3-rule system 8.43/2.46 { [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [a, a] -> [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] , 8.43/2.46 [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] -> [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] , 8.43/2.46 [a, b] [a, a] [a, a] [a, a] [a, a] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] -> [b, b] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] } 8.43/2.46 8.43/2.46 8.43/2.46 The dependency pairs transformation was applied. 8.43/2.46 8.43/2.46 Remains to prove termination of the 31-rule system 8.43/2.46 { ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) , 8.43/2.46 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) , 8.43/2.46 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ->= ([b, b],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) } 8.43/2.46 8.43/2.46 8.43/2.46 8.43/2.46 8.43/2.46 The system was filtered by the following matrix interpretation 8.43/2.46 of type E_J with J = {1,...,2} and dimension 13: 8.43/2.46 8.43/2.46 ([a, a],true) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 ([a, a],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 8.43/2.46 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 ([b, a],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 ([a, b],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 ([a, b],true) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 ([b, b],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 8.43/2.46 Remains to prove termination of the 21-rule system 8.43/2.46 { ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) , 8.43/2.46 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) } 8.43/2.46 8.43/2.46 8.43/2.46 The system was filtered by the following matrix interpretation 8.43/2.46 of type E_J with J = {1,...,2} and dimension 2: 8.43/2.46 8.43/2.46 ([a, a],true) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 1 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 ([a, a],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 ([b, a],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 ([a, b],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 ([a, b],true) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 ([b, b],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 8.43/2.46 Remains to prove termination of the 13-rule system 8.43/2.46 { ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) , 8.43/2.46 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) } 8.43/2.46 8.43/2.46 8.43/2.46 The system was filtered by the following matrix interpretation 8.43/2.46 of type E_J with J = {1,...,2} and dimension 2: 8.43/2.46 8.43/2.46 ([a, a],true) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 ([a, a],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 1 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 ([b, a],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 ([a, b],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 ([a, b],true) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 ([b, b],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 | 8.43/2.46 | 0 1 | 8.43/2.46 \ / 8.43/2.46 8.43/2.46 Remains to prove termination of the 4-rule system 8.43/2.46 { ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 8.43/2.46 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 8.43/2.46 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) } 8.43/2.46 8.43/2.46 8.43/2.46 The system was filtered by the following matrix interpretation 8.43/2.46 of type E_J with J = {1,...,2} and dimension 13: 8.43/2.46 8.43/2.46 ([a, a],true) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 ([a, a],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 2 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 ([b, a],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 ([a, b],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 1 0 0 0 0 1 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 ([a, b],true) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 ([b, b],false) is interpreted by 8.43/2.46 / \ 8.43/2.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8.43/2.46 \ / 8.43/2.46 8.43/2.46 Remains to prove termination of the 0-rule system 8.43/2.46 { } 8.43/2.46 8.43/2.46 8.43/2.46 The system is trivially terminating. 8.80/2.58 EOF