YES(?,O(1)) * Step 1: UnsatPaths WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. eval(A,B) -> eval(B,A) [A >= 1 + B] (?,1) 1. start(A,B) -> eval(A,B) True (1,1) Signature: {(eval,2);(start,2)} Flow Graph: [0->{0},1->{0}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,0)] * Step 2: AddSinks WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. eval(A,B) -> eval(B,A) [A >= 1 + B] (?,1) 1. start(A,B) -> eval(A,B) True (1,1) Signature: {(eval,2);(start,2)} Flow Graph: [0->{},1->{0}] + Applied Processor: AddSinks + Details: () * Step 3: UnsatPaths WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. eval(A,B) -> eval(B,A) [A >= 1 + B] (?,1) 1. start(A,B) -> eval(A,B) True (1,1) 2. eval(A,B) -> exitus616(A,B) True (?,1) Signature: {(eval,2);(exitus616,2);(start,2)} Flow Graph: [0->{0,2},1->{0,2},2->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,0)] * Step 4: LooptreeTransformer WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. eval(A,B) -> eval(B,A) [A >= 1 + B] (?,1) 1. start(A,B) -> eval(A,B) True (1,1) 2. eval(A,B) -> exitus616(A,B) True (?,1) Signature: {(eval,2);(exitus616,2);(start,2)} Flow Graph: [0->{2},1->{0,2},2->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2] * Step 5: SizeAbstraction WORST_CASE(?,O(1)) + Considered Problem: (Rules: 0. eval(A,B) -> eval(B,A) [A >= 1 + B] (?,1) 1. start(A,B) -> eval(A,B) True (1,1) 2. eval(A,B) -> exitus616(A,B) True (?,1) Signature: {(eval,2);(exitus616,2);(start,2)} Flow Graph: [0->{2},1->{0,2},2->{}] ,We construct a looptree: P: [0,1,2]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 6: FlowAbstraction WORST_CASE(?,O(1)) + Considered Problem: Program: Domain: [A,B] eval ~> eval [A <= B, B <= A] start ~> eval [A <= A, B <= B] eval ~> exitus616 [A <= A, B <= B] + Applied Processor: FlowAbstraction + Details: () * Step 7: LareProcessor WORST_CASE(?,O(1)) + Considered Problem: Program: Domain: [tick,huge,K,A,B] eval ~> eval [A ~=> B,B ~=> A] start ~> eval [] eval ~> exitus616 [] + Applied Processor: LareProcessor + Details: start ~> exitus616 [A ~=> B,B ~=> A] YES(?,O(1))