- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] exp(x,0) -> s(0) [2] exp(x,s(y)) -> *(x,exp(x,y)) [3] *(0,y) -> 0 [4] *(s(x),y) -> +(y, *(x,y)) [5] -(0,y) -> 0 [6] -(x,0) -> x [7] -(s(x),s(y)) -> -(x,y) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> } { --> } { --> } APPLY CRITERIA (Subterm criterion) ST: Marked_exp -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_* -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_- -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] exp(x,0) -> s(0) [2] exp(x,s(y)) -> *(x,exp(x,y)) [3] *(0,y) -> 0 [4] *(s(x),y) -> +(y, *(x,y)) [5] -(0,y) -> 0 [6] -(x,0) -> x [7] -(s(x),s(y)) -> -(x,y) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} Cime worked for 0.010485 seconds (real time) Cime Exit Status: 0