MAYBE * Step 1: FromIts MAYBE + Considered Problem: Rules: 0. start(A,B) -> ack(A,B) True (1,1) 1. ack(A,B) -> ack(A,-1 + B) [A >= 1 && B >= 1] (?,1) 2. ack(A,B) -> ack(-1 + A,C) [A >= 1 && B >= 1] (?,1) Signature: {(ack,2);(start,2)} Flow Graph: [0->{1,2},1->{1,2},2->{1,2}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks MAYBE + Considered Problem: Rules: start(A,B) -> ack(A,B) True ack(A,B) -> ack(A,-1 + B) [A >= 1 && B >= 1] ack(A,B) -> ack(-1 + A,C) [A >= 1 && B >= 1] Signature: {(ack,2);(start,2)} Rule Graph: [0->{1,2},1->{1,2},2->{1,2}] + Applied Processor: AddSinks + Details: () * Step 3: Decompose MAYBE + Considered Problem: Rules: start(A,B) -> ack(A,B) True ack(A,B) -> ack(A,-1 + B) [A >= 1 && B >= 1] ack(A,B) -> ack(-1 + A,C) [A >= 1 && B >= 1] ack(A,B) -> exitus616(A,B) True ack(A,B) -> exitus616(A,B) True Signature: {(ack,2);(exitus616,2);(start,2)} Rule Graph: [0->{1,2},1->{1,2,3},2->{1,2,4}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4] | `- p:[1,2] c: [2] | `- p:[1] c: [1] * Step 4: AbstractSize MAYBE + Considered Problem: (Rules: start(A,B) -> ack(A,B) True ack(A,B) -> ack(A,-1 + B) [A >= 1 && B >= 1] ack(A,B) -> ack(-1 + A,C) [A >= 1 && B >= 1] ack(A,B) -> exitus616(A,B) True ack(A,B) -> exitus616(A,B) True Signature: {(ack,2);(exitus616,2);(start,2)} Rule Graph: [0->{1,2},1->{1,2,3},2->{1,2,4}] ,We construct a looptree: P: [0,1,2,3,4] | `- p:[1,2] c: [2] | `- p:[1] c: [1]) + Applied Processor: AbstractSize Minimize + Details: () * Step 5: AbstractFlow MAYBE + Considered Problem: Program: Domain: [A,B,0.0,0.0.0] start ~> ack [A <= A, B <= B] ack ~> ack [A <= A, B <= B] ack ~> ack [A <= A, B <= unknown] ack ~> exitus616 [A <= A, B <= B] ack ~> exitus616 [A <= A, B <= B] + Loop: [0.0 <= A] ack ~> ack [A <= A, B <= B] ack ~> ack [A <= A, B <= unknown] + Loop: [0.0.0 <= K + B] ack ~> ack [A <= A, B <= B] + Applied Processor: AbstractFlow + Details: () * Step 6: Failure MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,B,0.0,0.0.0] start ~> ack [] ack ~> ack [] ack ~> ack [huge ~=> B] ack ~> exitus616 [] ack ~> exitus616 [] + Loop: [A ~=> 0.0] ack ~> ack [] ack ~> ack [huge ~=> B] + Loop: [B ~+> 0.0.0,K ~+> 0.0.0] ack ~> ack [] + Applied Processor: Lare + Details: Unknown bound. MAYBE