MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. evalSimpleMultipleDepstart(A,B,C,D) -> evalSimpleMultipleDepentryin(A,B,C,D) True (1,1) 1. evalSimpleMultipleDepentryin(A,B,C,D) -> evalSimpleMultipleDepbb3in(0,0,C,D) True (?,1) 2. evalSimpleMultipleDepbb3in(A,B,C,D) -> evalSimpleMultipleDepbbin(A,B,C,D) [C >= 1 + B] (?,1) 3. evalSimpleMultipleDepbb3in(A,B,C,D) -> evalSimpleMultipleDepreturnin(A,B,C,D) [B >= C] (?,1) 4. evalSimpleMultipleDepbbin(A,B,C,D) -> evalSimpleMultipleDepbb1in(A,B,C,D) [D >= 1 + A] (?,1) 5. evalSimpleMultipleDepbbin(A,B,C,D) -> evalSimpleMultipleDepbb2in(A,B,C,D) [A >= D] (?,1) 6. evalSimpleMultipleDepbb1in(A,B,C,D) -> evalSimpleMultipleDepbb3in(1 + A,B,C,D) True (?,1) 7. evalSimpleMultipleDepbb2in(A,B,C,D) -> evalSimpleMultipleDepbb3in(0,1 + B,C,D) True (?,1) 8. evalSimpleMultipleDepreturnin(A,B,C,D) -> evalSimpleMultipleDepstop(A,B,C,D) True (?,1) Signature: {(evalSimpleMultipleDepbb1in,4) ;(evalSimpleMultipleDepbb2in,4) ;(evalSimpleMultipleDepbb3in,4) ;(evalSimpleMultipleDepbbin,4) ;(evalSimpleMultipleDepentryin,4) ;(evalSimpleMultipleDepreturnin,4) ;(evalSimpleMultipleDepstart,4) ;(evalSimpleMultipleDepstop,4)} Flow Graph: [0->{1},1->{2,3},2->{4,5},3->{8},4->{6},5->{7},6->{2,3},7->{2,3},8->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: AddSinks MAYBE + Considered Problem: Rules: 0. evalSimpleMultipleDepstart(A,B,C,D) -> evalSimpleMultipleDepentryin(A,B,C,D) True (1,1) 1. evalSimpleMultipleDepentryin(A,B,C,D) -> evalSimpleMultipleDepbb3in(0,0,C,D) True (1,1) 2. evalSimpleMultipleDepbb3in(A,B,C,D) -> evalSimpleMultipleDepbbin(A,B,C,D) [C >= 1 + B] (?,1) 3. evalSimpleMultipleDepbb3in(A,B,C,D) -> evalSimpleMultipleDepreturnin(A,B,C,D) [B >= C] (1,1) 4. evalSimpleMultipleDepbbin(A,B,C,D) -> evalSimpleMultipleDepbb1in(A,B,C,D) [D >= 1 + A] (?,1) 5. evalSimpleMultipleDepbbin(A,B,C,D) -> evalSimpleMultipleDepbb2in(A,B,C,D) [A >= D] (?,1) 6. evalSimpleMultipleDepbb1in(A,B,C,D) -> evalSimpleMultipleDepbb3in(1 + A,B,C,D) True (?,1) 7. evalSimpleMultipleDepbb2in(A,B,C,D) -> evalSimpleMultipleDepbb3in(0,1 + B,C,D) True (?,1) 8. evalSimpleMultipleDepreturnin(A,B,C,D) -> evalSimpleMultipleDepstop(A,B,C,D) True (1,1) Signature: {(evalSimpleMultipleDepbb1in,4) ;(evalSimpleMultipleDepbb2in,4) ;(evalSimpleMultipleDepbb3in,4) ;(evalSimpleMultipleDepbbin,4) ;(evalSimpleMultipleDepentryin,4) ;(evalSimpleMultipleDepreturnin,4) ;(evalSimpleMultipleDepstart,4) ;(evalSimpleMultipleDepstop,4)} Flow Graph: [0->{1},1->{2,3},2->{4,5},3->{8},4->{6},5->{7},6->{2,3},7->{2,3},8->{}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: 0. evalSimpleMultipleDepstart(A,B,C,D) -> evalSimpleMultipleDepentryin(A,B,C,D) True (1,1) 1. evalSimpleMultipleDepentryin(A,B,C,D) -> evalSimpleMultipleDepbb3in(0,0,C,D) True (?,1) 2. evalSimpleMultipleDepbb3in(A,B,C,D) -> evalSimpleMultipleDepbbin(A,B,C,D) [C >= 1 + B] (?,1) 3. evalSimpleMultipleDepbb3in(A,B,C,D) -> evalSimpleMultipleDepreturnin(A,B,C,D) [B >= C] (?,1) 4. evalSimpleMultipleDepbbin(A,B,C,D) -> evalSimpleMultipleDepbb1in(A,B,C,D) [D >= 1 + A] (?,1) 5. evalSimpleMultipleDepbbin(A,B,C,D) -> evalSimpleMultipleDepbb2in(A,B,C,D) [A >= D] (?,1) 6. evalSimpleMultipleDepbb1in(A,B,C,D) -> evalSimpleMultipleDepbb3in(1 + A,B,C,D) True (?,1) 7. evalSimpleMultipleDepbb2in(A,B,C,D) -> evalSimpleMultipleDepbb3in(0,1 + B,C,D) True (?,1) 8. evalSimpleMultipleDepreturnin(A,B,C,D) -> evalSimpleMultipleDepstop(A,B,C,D) True (?,1) 9. evalSimpleMultipleDepreturnin(A,B,C,D) -> exitus616(A,B,C,D) True (?,1) Signature: {(evalSimpleMultipleDepbb1in,4) ;(evalSimpleMultipleDepbb2in,4) ;(evalSimpleMultipleDepbb3in,4) ;(evalSimpleMultipleDepbbin,4) ;(evalSimpleMultipleDepentryin,4) ;(evalSimpleMultipleDepreturnin,4) ;(evalSimpleMultipleDepstart,4) ;(evalSimpleMultipleDepstop,4) ;(exitus616,4)} Flow Graph: [0->{1},1->{2,3},2->{4,5},3->{8,9},4->{6},5->{7},6->{2,3},7->{2,3},8->{},9->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9] | `- p:[2,6,4,7,5] c: [] MAYBE