YES(?,O(n^1)) * Step 1: AddSinks WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. zip3(A,B,C) -> zip3(-1 + A,-1 + B,-1 + C) [A >= 1 && B >= 1 && C >= 1] (?,1) 1. start(A,B,C) -> zip3(A,B,C) True (1,1) Signature: {(start,3);(zip3,3)} Flow Graph: [0->{0},1->{0}] + Applied Processor: AddSinks + Details: () * Step 2: LooptreeTransformer WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. zip3(A,B,C) -> zip3(-1 + A,-1 + B,-1 + C) [A >= 1 && B >= 1 && C >= 1] (?,1) 1. start(A,B,C) -> zip3(A,B,C) True (1,1) 2. zip3(A,B,C) -> exitus616(A,B,C) True (?,1) Signature: {(exitus616,3);(start,3);(zip3,3)} Flow Graph: [0->{0,2},1->{0,2},2->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2] | `- p:[0] c: [0] * Step 3: SizeAbstraction WORST_CASE(?,O(n^1)) + Considered Problem: (Rules: 0. zip3(A,B,C) -> zip3(-1 + A,-1 + B,-1 + C) [A >= 1 && B >= 1 && C >= 1] (?,1) 1. start(A,B,C) -> zip3(A,B,C) True (1,1) 2. zip3(A,B,C) -> exitus616(A,B,C) True (?,1) Signature: {(exitus616,3);(start,3);(zip3,3)} Flow Graph: [0->{0,2},1->{0,2},2->{}] ,We construct a looptree: P: [0,1,2] | `- p:[0] c: [0]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 4: FlowAbstraction WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [A,B,C,0.0] zip3 ~> zip3 [A <= A, B <= B, C <= C] start ~> zip3 [A <= A, B <= B, C <= C] zip3 ~> exitus616 [A <= A, B <= B, C <= C] + Loop: [0.0 <= A] zip3 ~> zip3 [A <= A, B <= B, C <= C] + Applied Processor: FlowAbstraction + Details: () * Step 5: LareProcessor WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,0.0] zip3 ~> zip3 [] start ~> zip3 [] zip3 ~> exitus616 [] + Loop: [A ~=> 0.0] zip3 ~> zip3 [] + Applied Processor: LareProcessor + Details: start ~> exitus616 [A ~=> 0.0,A ~+> tick,tick ~+> tick] + zip3> [A ~=> 0.0,A ~+> tick,tick ~+> tick] YES(?,O(n^1))