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-616,4 +616,30 @@ - P = Nummer der verbundenen Komponenten (für eine OO Funktion ist P = 1) - Beispiel: - $$C = 9-8+ (2*1) = 3$$ -- ![image_668.png](image_668.png) \ No newline at end of file +- ![image_668.png](image_668.png) + + +## Übung Test Cases, Dependencies and more +![image_778.png](image_778.png) +![image_779.png](image_779.png) + +3. : + - BriefSystem - Controller + - BriefErstellung - Domain + - Empfaenger - trivialer Code + - EmpfaengerInterface - Domain Model + - EmpfaengerCsvLeser - trivialer Code + - Brief - trivialer Code + + +4. : alle +5. : + - wurdeEmpfängerHinzugefügt + - Empfänger über Interface hinzufügen + - Brief erstellen und schauen ob Empfänger hinzufügbar ist + - EmpfängerListe kann sonst nicht abgefragt werden + +6. : + + + \ No newline at end of file diff --git a/Writerside/topics/04/ti_hausaufgabe2.md b/Writerside/topics/04/ti_hausaufgabe2.md index 57ffa46..9f55878 100644 --- a/Writerside/topics/04/ti_hausaufgabe2.md +++ b/Writerside/topics/04/ti_hausaufgabe2.md @@ -1,4 +1,6 @@ # Übungsblatt 2 +> Wenzel Schwan (1125033), Paul Kneidl (1125219), David Schirrmeister (1125746), Michelle Klein (1126422) + ## Übung 1 Betrachten Sie den Automaten A aus Abbildung 1: ![image_766.png](image_766.png) @@ -16,7 +18,7 @@ Betrachten Sie den Automaten A aus Abbildung 1: | a | b | | | b | c | b | | c | d | b | - | d | d | b | + | d | | b | ### (b) Beschreiben Sie wie der Automat die Eingabe $xyyxyx$ verarbeitet. 1. Start in Zustand $a$ @@ -36,9 +38,9 @@ Betrachten Sie den Automaten A aus Abbildung 1: ### (c) Nennen Sie zwei verschiedene kürzeste Wörter, die von A akzeptiert werden und die jeweils jeden Übergang (Kante) aus Abbildung 1 mindestens einmal benutzen. -$w_1 ∈ Σ^* := xyxyxxyxxx$ +$w_1 ∈ Σ^* := xyxxyxyxx$ -$w_2 ∈ Σ^* := xxyyxxyxxx$ +$w_2 ∈ Σ^* := xxyxxyyxx$ ### (d) Beschreiben Sie die von A akzeptierte Sprache sowohl informal (in Worten) als auch formal (als Teilmenge von $\{x,y\}^*$). #### Informal: @@ -51,6 +53,8 @@ $L_A:= \{w \space | \space w = x*a*xx, a ∈ \{x,y\}^*\}$ ```plantuml @startuml +scale 0.5 + left to right direction skinparam dpi 150 @@ -83,8 +87,12 @@ Betrachten Sie die Sprache $ L = \{s ∈ Σ^* \space | \space s \space hat \spac über dem Alphabet $ Σ=\{0,1,...,9\}$. ### (a) Beschreiben Sie einen vollständigen endlichen Automaten in Graphdarstellung der die Sprache L akzeptiert. +> Annahme, dass das Wort `423` von L nicht akzeptiert wird, da `42` der Präfix ist und das Wort gleichzeitig auf `23` endet. + ```plantuml @startuml +scale 0.5 + left to right direction skinparam dpi 150 @@ -117,9 +125,9 @@ e --> d : {2} ``` ### (b) Beschreiben Sie einen vollständigen endlichen Automaten in Graphdarstellung der genau die nicht-leeren Zeichenketten über dem Alphabet $Σ$ akzeptiert, die keine Wörter der Sprache L sind. - ```plantuml @startuml +scale 0.5 left to right direction skinparam dpi 150 @@ -152,6 +160,9 @@ e --> d : {2} @enduml ``` + + + ## Übung 3 Beschreiben Sie für jede der nachfolgend definierten Sprachen jeweils einen endlichen deterministischen Automaten, der die Sprache akzeptiert. Geben Sie die Automaten @@ -166,14 +177,14 @@ Sie jeweils die Korrektheit Ihrer Konstruktion. - $q_s = \{a\}$ - $Q_a = \{b,d\}$ - $δ:$ -- | Zustand | δ(.,0) | δ(.,1) | δ(.,2) | δ(.,3) | δ(.,4) | δ(.,5) | δ(.,6) | δ(.,7) | δ(.,8) | δ(.,9) | - |---------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------| - | a | b | e | d | e | d | e | d | e | d | e | - | **b** | c | c | c | c | c | c | c | c | c | c | - | c | c | c | c | c | c | c | c | c | c | c | - | **d** | d | e | d | e | d | e | d | e | d | e | - | e | d | e | d | e | d | e | d | e | d | e | +| Zustand | δ(.,0) | δ(.,1) | δ(.,2) | δ(.,3) | δ(.,4) | δ(.,5) | δ(.,6) | δ(.,7) | δ(.,8) | δ(.,9) | +|---------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------| +| a | b | e | d | e | d | e | d | e | d | e | +| **b** | c | c | c | c | c | c | c | c | c | c | +| c | c | c | c | c | c | c | c | c | c | c | +| **d** | d | e | d | e | d | e | d | e | d | e | +| e | d | e | d | e | d | e | d | e | d | e | @@ -181,6 +192,8 @@ Sie jeweils die Korrektheit Ihrer Konstruktion. #### Graphdarstellung (a) ```plantuml @startuml +scale 0.5 + left to right direction skinparam dpi 150 @@ -223,21 +236,23 @@ e --> e : {1,3,5,7,9} - $q_s = \{a\}$ - $Q_a = \{d\}$ - $δ:$ - - | Zustand | δ(.,0) | δ(.,1) | δ(.,2) | δ(.,3) | δ(.,4) | δ(.,5) | δ(.,6) | δ(.,7) | δ(.,8) | δ(.,9) | - |---------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------| - | a | b | a | a | a | a | a | a | a | a | a | - | b | c | a | a | a | a | a | a | a | a | a | - | c | a | a | a | a | a | a | a | d | a | a | - | **d** | d | d | d | d | d | d | d | e | d | d | - | e | d | d | d | d | d | d | d | f | d | d | - | f | d | d | d | d | d | d | d | g | d | d | - | g | g | g | g | g | g | g | g | g | g | g | + + | Zustand | δ(.,0) | δ(.,1) | δ(.,2) | δ(.,3) | δ(.,4) | δ(.,5) | δ(.,6) | δ(.,7) | δ(.,8) | δ(.,9) | + |---------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------| + | a | b | a | a | a | a | a | a | a | a | a | + | b | c | a | a | a | a | a | a | a | a | a | + | c | a | a | a | a | a | a | a | d | a | a | + | **d** | d | d | d | d | d | d | d | e | d | d | + | e | d | d | d | d | d | d | d | f | d | d | + | f | d | d | d | d | d | d | d | g | d | d | + | g | g | g | g | g | g | g | g | g | g | g | #### Graphdarstellung (b) ```plantuml @startuml +scale 0.5 skinparam dpi 150 skinparam state { @@ -260,13 +275,13 @@ d -right-> e : {0} e -right-> f : {0} f -right-> g : {7} -b --> a : {0,...,9}\{0} -a --> a : {0,...,9}\{0} -c --> a : {0,...,9}\{7} -d --> d : {0,...,9}\{0} -e --> d : {0,...,9}\{0} -f --> d : {0,...,9}\{7} -g --> g : {0,...,9} +b --> a : {7} +a --> a : {7} +c --> c : {0} +d --> d : {7} +e --> d : {7} +f --> f : {0} +g --> g : {0,7} @enduml ``` @@ -291,8 +306,10 @@ g --> g : {0,...,9} | q2 | q0 | q1 | #### Graphdarstellung (c) + ```plantuml @startuml +scale 0.5 left to right direction skinparam dpi 150 @@ -329,6 +346,7 @@ Korrektheit Ihrer Konstruktion. ```plantuml @startuml +scale 0.5 left to right direction skinparam dpi 150 @@ -355,4 +373,4 @@ q3 --> q3 : 0 q3 --> q4 : 1 q4 --> q4 : 0,1 @enduml -``` \ No newline at end of file +```