From 71d824f3ceacf8392c4819605f5ecd89c8e52ae9 Mon Sep 17 00:00:00 2001 From: Francesco Mecca Date: Thu, 21 May 2020 19:27:27 +0200 Subject: [PATCH] esercizio analisi, svista --- anno3/vpc/consegne/2/2.pn.org | 157 +++++++++++++++-- .../2/gspn/Es2-Measures.solution/PT.bnd | 24 +-- .../2/gspn/Es2-Measures.solution/PT.net | 7 +- anno3/vpc/consegne/2/gspn/Es2.PNPRO | 21 ++- .../PT.bnd | 18 ++ .../PT.ctl | 2 + .../PT.def | 3 + .../PT.ilpbnd | 2 + .../PT.net | 130 ++++++++++++++ .../PT.pba | 7 + .../PT.pin | 8 + anno3/vpc/consegne/2/gspn/Es2B.PNPRO | 27 ++- .../2/gspn/Es2C-Measures.solution/PT.net | 160 +++++++++--------- anno3/vpc/consegne/2/gspn/Es2C.PNPRO | 17 +- anno3/vpc/consegne/2/gspn/EsD.PNPRO | 17 +- anno3/vpc/consegne/3/analisi.org | 27 +-- anno3/vpc/consegne/3/analisi.pdf | Bin 1682281 -> 2086372 bytes anno3/vpc/consegne/4/uppaallC.xml | 6 +- todo.org | 28 +-- 19 files changed, 517 insertions(+), 144 deletions(-) create mode 100644 anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.bnd create mode 100644 anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.ctl create mode 100644 anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.def create mode 100644 anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.ilpbnd create mode 100644 anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.net create mode 100644 anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.pba create mode 100644 anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.pin diff --git a/anno3/vpc/consegne/2/2.pn.org b/anno3/vpc/consegne/2/2.pn.org index 7f0cc90..f8c6948 100644 --- a/anno3/vpc/consegne/2/2.pn.org +++ b/anno3/vpc/consegne/2/2.pn.org @@ -64,29 +64,70 @@ analisi; in ordine sono stati applicati: [[./riduzione/eliminazione1.jpg]] # [[./riduzione/eliminazione2.jpg]] [[./riduzione/rimozione1.jpg]] -** TODO P e T invarianti +** P e T invarianti Tramite GreatSPN possiamo calcolare gli T- e P- semiflussi [[./semiflowsAT.jpg]] [[./semiflowsAP.jpg]] -Gli P-invarianti sono i seguenti: +Gli P-semiflussi sono i seguenti: | S0 + S1_a + S2_a + S3 | S0 + S1_b + S2_b + S3 | M0 + M1 + M2 + M3 | S1_a + S2_a + Buffer_output + Buffer_input + M0 + M1 + M3 | S1_b + S2_b + Buffer_output + Buffer_input + M0 + M1 + M3 -Il T-invariante e` il seguento: +Il T-semiflusso e` il seguente: \[ Inizio_servizio + azione_locale_sa + azione_locale_sb + \\ Fine_servizio + Reset_s + azione_locale_m + Richiesta_servizio + \\ Attesa_elaborazione + Reset_m + Reset_s \] - +e dato che comprende tutte le transizioni, il sistema rispetta la +proprieta` di liveness. Dato che la reteA e` interamente coperta dagli P-semiflussi, possiamo affermare che la rete sia bounded. -[ ] Deadlock -[ ] Liveness +Gli P-semiflussi ci permettono di ricavare i seguenti invarianti +lineari relativi ai marking /m/: +| m[S0] + m[S1ₐ] + m[S2ₐ] + m[S3] = 1 +| m[S0] + m[S1_{b}] + m[S2_{b}] + m[S3] = 1 +| m[M0] + m[M1] + m[M2] + m[M3] = 1 +| m[S1ₐ] + m[S2ₐ] + m[Buffer_output] + m[Buffer_input] + m[M0] + m[M1] + m[M3] = 1 +| m[S1_{b}] + m[S2_{b}] + m[Buffer_output] + m[Buffer_input] + m[M0] + m[M1] + m[M3] = 1 +Dato che ∀p ∈ P, m[p] ≥ 0 possiamo affermare, a partire dalle +precedenti uguaglianze che: +- ogni posto nei seguenti insieme e` in mutua esclusione con gli + elementi dello stesso insieme: + | {S0, S1ₐ, S2ₐ, S3} + | {S0, S1_{b}, S2_{b}, S3} + | {M0, M1, M2, M3} + | {S1ₐ, S2ₐ, Buffer_output, Buffer_input, M0, M1, M3} + | {S1_{b}, S2_{b}, Buffer_output, Buffer_input, M0, M1, M3} +- ∀pᵢ∈P, m[pᵢ]≤1 (bounds) +- dato che i posti che sono gli unici /enablers/ di una transizione + sono i seguenti: + | S1ₐ, S1_{b}, S3, M0, M1, M3 + e quindi possiamo provare a dimostrare l'assenza di deadlock + partendo dagli invarianti lineari relativi ai marking: + | m[S0] + m[S2ₐ] = 1 + | m[S0] + m[S2_{b}] = 1 + | m[M2] = 1 + | m[S2ₐ] + m[Buffer_output] + m[Buffer_input] = 1 + | m[S2_{b}] + m[Buffer_output] + m[Buffer_input] = 1 + Dato che M2 e` marcata, per far si` che /attesa_elaborazione/ non + venga abilitata: + | m[Buffer_output] = 0 + Inoltre per far si` che /Inizio_Servizio/ e /Fine_Servizio/ non vengano abilitate: + | m[Buffer_input] + M[S0] ≤ 1 + | m[S2ₐ] + m[S2_{b}] ≤ 1 + Riassumendo, il sistema e` il seguente: + | m[S0] + m[S2ₐ] = 1 + | m[S0] + m[S2_{b}] = 1 + | m[S2ₐ] + m[Buffer_input] = 1 + | m[S2_{b}] + m[Buffer_input] = 1 + | m[Buffer_input] + M[S0] ≤ 1 + | m[S2ₐ] + m[S2_{b}] ≤ 1 + che per la legge di conservazione dei token, non puo` essere + soddisfatto. Quindi nel sistema non vi e` la possibilita` di deadlock. * Rete B M master identici, uno slave di tipo 1 e uno slave di tipo 1 scelti @@ -137,7 +178,7 @@ Lo slave di tipo 1 processa una sola richiesta alla volta. Il master in attesa del risultato (M2) potrebbe ricevere il risultato di un lavoro richiesto da un altro master. -** TODO P e T invarianti +** P e T invarianti Tramite GreatSPN possiamo calcolare gli T- e P- semiflussi [[./semiflowsBT.jpg]] @@ -149,7 +190,7 @@ Gli P-invarianti sono i seguenti: | R0 + R1 + R2 + R3 | M0 + M1 + M2 + M3 | S1_a + S2_a + R1 + R2 + M0 + M1 + M3 + Freechoice + P0 + P1 + Risultato -| S1_b + S2_b + R1 + R2 + M0 + M1 + M3 + Freechoice + P0 + P1 + Risultbto +| S1_b + S2_b + R1 + R2 + M0 + M1 + M3 + Freechoice + P0 + P1 + Risultato Gli T-invarianti sono i seguenti: \[ Inizio_servizio_R + azione_locale_R + \\ @@ -161,11 +202,47 @@ Inizio_servizio_S + azione_locale_sa + azione_locale_sb + \\ Fine_servizio_S + Reset_s + azione_locale_m + Richiesta_servizio + \\ Attesa_elaborazione + Reset_m + Scelta_1 \] +Dato che ci sono due semiflussi, ognuno relativo alle transizioni dei +due diversi slaves, c'e` possibilita` di starvation. +Possiamo infatti immaginare una traccia di esecuzione in cui il master +in seguito a FreeChoice sceglie sempre il primo slave. +Questo non succederebbe in un sistema fair, ovvero se si obbliga +un'automa che entra in uno stato infinite volte ad eseguire tutte le +possibili transizioni da quello stato. +In tal caso non avremmo starvation e la proprieta` di liveness sarebbe rispettata. Dato che la reteB e` interamente coperta dagli P-semiflussi, possiamo affermare che la rete sia bounded. -[ ] Deadlock -[ ] Liveness +Dimostriamo invece che la rete non ha possibilita` di deadlock. +| m[S0] + m[S1_a] + m[S2_a] + m[S3] = 1 +| m[S0] + m[S1_{b}] + m[S2_{b}] + m[S3] = 1 +| m[R0] + m[R1] + m[R2] + m[R3] = 1 +| m[M0] + m[M1] + m[M2] + m[M3] = 1 +| m[S1_a] + m[S2_a] + m[R1] + m[R2] + m[M0] + m[M1] + m[M3] + m[Freechoice] + m[P0] + m[P1] + m[Risultato] = 1 +| m[S1_{b}] + m[S2_{b}] + m[R1] + m[R2] + m[M0] + m[M1] + m[M3] + m[Freechoice] + m[P0] + m[P1] + m[Risultato] = 1 +I posti che sono gli unici enablers di una sola transizione sono: +| M0, M1, M3, R1, R2, R3, FreeChoice, S1ₐ, S1_{b}, S3 +Gli invarianti lineari dei marking diventano: +| m[S0] + m[S2_a] = 1 +| m[S0] + m[S2_{b}] = 1 +| m[R0] = 1 +| m[M2] = 1 +| m[S2_a] + m[P0] + m[P1] + m[Risultato] = 1 +| m[S2_{b}] m[P0] + m[P1] + m[Risultato] = 1 +Dati i marking in R0 e M2, per far si` che /Inizio_Servizio_R/, +/Attesa_Elaborazione/, /Fine_Servizioₛ/ e /Inizio_Servizioₛ/ non vengano abilitati: +| m[P0] = 0 +| m[Risultato] = 0 +| m[S2ₐ] + m[S2_{b}] ≤ 1 +| m[P1] + m[S0] ≤ 1 +Il sistema si riduce a: +| m[S0] + m[S2_a]= 1 +| m[S0] + m[S2_{b}] = 1 +| m[S2_a] + m[P1] = 1 +| m[S2_{b}] + m[P1] = 1 +| m[S2ₐ] + m[S2_{b}] ≤ 1 +| m[P1] + m[S0] ≤ 1 +che non puo` essere soddisfatto per la legge di conservazione dei token. * Rete C Due master identici, uno slave di tipo 1 e uno slave di tipo 1 scelti @@ -186,7 +263,7 @@ R3 e dalle transizioni Inizio_Servizio_R, Azione_Locale_R, Fine_Servizio e Reset La richiesta del servizio verso lo slave scelto e` gestita attraverso due buffer, posti FreeChoice e Risultato. -** TODO P e T invarianti +** P e T invarianti Tramite GreatSPN possiamo calcolare gli T- e P- semiflussi [[./semiflowsCT.jpg]] @@ -202,6 +279,47 @@ Gli P-invarianti sono i seguenti: Risultato + copy_M0 + copy_M1 + copy_M3 - S1_{b} + S2_{b} + R1 + R2 + M0 + M1 + M3 + Freechoice + P0 + P1 + Risultato + copy_M0 + copy_M1 + copy_M3 +Dato che la reteC e` interamente coperta dagli P-semiflussi, possiamo +affermare che la rete sia bounded. +Gli P-semiflussi ci permettono di ricavare i seguenti invarianti +lineari relativi ai marking /m/: +| m[S0] + m[S1ₐ] + m[S2ₐ] + m[S3] = 1 +| m[S0] + m[S1_{b}] + m[S2_{b}] + m[S3] = 1 +| m[R0] + m[R1] + m[R2] + m[R3] = 1 +| m[M0] + m[M1] + m[M2] + m[M3] = 1 +| m[copy_M0] + m[copy_M1] + m[copy_M2] + m[copy_M3] = 1 +\[ + m[S1ₐ] + m[S2ₐ] + m[R1] + m[R2] + m[M0] + m[M1] + m[M3] + m[Freechoice] + m[P0] + m[P1] + + m[Risultato] + m[copy_M0] + m[copy_M1] + m[copy_M3] = 1 +\] +\[ + m[S1_{b}] + m[S2_{b}] + m[R1] + m[R2] + m[M0] + m[M1] + m[M3] + m[Freechoice] + m[P0] + m[P1] + + m[Risultato] + m[copy_M0] + m[copy_M1] + m[copy_M3] = 1 +\] +Gli spazi /enablers/ di una sola transizione sono i seguenti: +| R1, R2, R3, S1ₐ, S1_{b}, S3, Risultato, M0, M1, M3, copy_M0, copy_M1, copy_M3, FreeChoice +il sistema precedente diventa: +| m[S0] + m[S2ₐ] = 1 +| m[S0] + m[S2_{b}] = 1 +| m[R0] = 1 +| m[M2] = 1 +| m[copy_M2] = 1 +| m[S2_{b}] + m[P0] + m[P1] = 1 +| m[S2_{a}] + m[P0] + m[P1] = 1 +Dati i marking in R0 e M2 e copy_M2, per far si` che /Inizio_Servizio_R/, +/Attesa_Elaborazione/, /copy_Attesa_Elaborazione/, /Fine_Servizioₛ/ e /Inizio_Servizioₛ/ non vengano abilitati: +| m[P0] = 0 +| m[Risultato] = 0 +| m[S2ₐ] + m[S2_{b}] ≤ 1 +| m[P1] + m[S0] ≤ 1 +Il sistema si riduce allo stesso della precedente rete B: +| m[S0] + m[S2ₐ] = 1 +| m[S0] + m[S2_{b}] = 1 +| m[S2_{b}] + m[P1] = 1 +| m[S2_{a}] + m[P1] = 1 +| m[S2ₐ] + m[S2_{b}] ≤ 1 +| m[P1] + m[S0] ≤ 1 +e non puo` essere soddisfatto per la legge di conservazione dei token. Gli T-invarianti sono i seguenti: - Inizio_Servizioᵣ + Azione_Locale + Fine_Servizioᵣ + T3 + @@ -215,9 +333,8 @@ Gli T-invarianti sono i seguenti: - Inizio_Servizioₛ + Azione_Locale_{sa} + Azione_Locale_{sb} + Fine_Servizioₛ + Reset + Scelta₁ + copy_azione_localeₘ + copy_Richiesta_Servizio + copy_Attesa_Elaborazione + copy_Resetₘ - -[ ] Deadlock -[ ] Liveness +Come nella rete B, in assenza di fairness non possiamo rispettare la +condizione di liveness e c'e` possiblita` di starvation. * Rete D Due master identici, uno slave di tipo 1 e uno slave di tipo 1 scelti @@ -241,12 +358,22 @@ Gli P-invarianti sono i seguenti: - S1_{b} + S2_{b} + M0 + M1 + M3 + Bufferₛ + Risultato - M0₂ + M1₂ + M3₂ - R1 + R2 + M0₂ + M1₂ + M3₂ + Buffer₂ + Risultato₂ +Ai fini della dimostrazione dell'assenza di deadlock, possiamo notare +che lo slave di tipo 2 e` equivalente allo slave di tipo 1 se +si applicano due riduzioni alla rete (vengono fusi in un unico posto +S1ₐ-S2ₐ e S1_{b}-S2_{b}, poi eliminata la fork). +Inoltre i master sono indipendenti fra di loro e ciascuno rispetta l'assenza +di deadlock come gia` dimostrato nella rete A. Gli T-invarianti sono i seguenti: - Inizio_Servizioₛ + azione_locale_{sa} + azione_locale_{sb} + Fine_Servizioₛ + Reset + azione_localeₘ + Richiesta_Servizio + Attesa_Elaborazione + Resetₘ - Inizio_Servizioᵣ + Azione_locale + Fine_Servizioᵣ + T3 - azione_locale_{m2} + Richiesta_Servizio₂ + Attesa_Elaborazione₂ + Reset_{m2} + azione_locale_{m2} + Richiesta_Servizio₂ + Attesa_Elaborazione₂ + + Reset_{m2} +Come nella rete B, in assenza di fairness non possiamo rispettare la +condizione di liveness e c'e` possiblita` di starvation. + ** Decision Diagram L'efficacia dei decision diagram sulla generazione dello stato degli spazi dipende fortemente dall'ordine delle variabili. diff --git a/anno3/vpc/consegne/2/gspn/Es2-Measures.solution/PT.bnd b/anno3/vpc/consegne/2/gspn/Es2-Measures.solution/PT.bnd index 11fb479..90ce8c1 100644 --- a/anno3/vpc/consegne/2/gspn/Es2-Measures.solution/PT.bnd +++ b/anno3/vpc/consegne/2/gspn/Es2-Measures.solution/PT.bnd @@ -1,12 +1,12 @@ -0 25 -0 25 -0 25 -0 25 -0 25 -0 25 -0 25 -0 25 -0 25 -0 25 -0 25 -0 25 +0 1 +0 1 +0 1 +0 1 +0 1 +0 1 +0 1 +0 1 +0 1 +0 1 +0 1 +0 1 diff --git a/anno3/vpc/consegne/2/gspn/Es2-Measures.solution/PT.net b/anno3/vpc/consegne/2/gspn/Es2-Measures.solution/PT.net index 234ae7e..ca1b006 100644 --- a/anno3/vpc/consegne/2/gspn/Es2-Measures.solution/PT.net +++ b/anno3/vpc/consegne/2/gspn/Es2-Measures.solution/PT.net @@ -1,7 +1,8 @@ |0| | -f 0 12 0 9 0 0 0 -S0 25 2.6666666666666665 0.8333333333333334 2.6279166666666667 1.0289583333333334 0 +f 1 12 0 9 0 0 0 +n -7134 9.463541666666666 6.265625 0 +S0 -1 2.6666666666666665 0.8333333333333334 2.6279166666666667 1.0289583333333334 0 S1_a 0 1.6666666666666667 2.3333333333333335 1.9716666666666667 2.278958333333333 0 S1_b 0 3.6666666666666665 2.3333333333333335 3.216458333333333 2.278958333333333 0 S2_a 0 1.6666666666666667 3.6666666666666665 1.9716666666666667 3.6122916666666662 0 @@ -9,7 +10,7 @@ S2_b 0 3.6666666666666665 3.6666666666666665 3.1331249999999997 3.61229 S3 0 2.6666666666666665 5.166666666666667 2.6279166666666667 5.362291666666667 0 Buffer_output 0 5.0 4.5 4.570625 4.695625 0 Buffer_input 0 5.0 1.6666666666666667 4.6175 1.8622916666666667 0 -M0 25 7.666666666666667 0.3333333333333333 7.268541666666667 0.11229166666666668 0 +M0 -1 7.666666666666667 0.3333333333333333 7.268541666666667 0.11229166666666668 0 M1 0 7.666666666666667 1.6666666666666667 7.601875 1.8622916666666667 0 M2 0 7.666666666666667 2.5 7.601875 2.195625 0 M3 0 7.666666666666667 4.0 7.351875 4.195625 0 diff --git a/anno3/vpc/consegne/2/gspn/Es2.PNPRO b/anno3/vpc/consegne/2/gspn/Es2.PNPRO index 5997e4f..1103644 100644 --- a/anno3/vpc/consegne/2/gspn/Es2.PNPRO +++ b/anno3/vpc/consegne/2/gspn/Es2.PNPRO @@ -70,13 +70,25 @@ - + - + - + + + + + + + + + + + + + @@ -92,4 +104,7 @@ + + 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checking of PT.solution/PT.pba b/anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.pba new file mode 100644 index 0000000..c3c7134 --- /dev/null +++ b/anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.pba @@ -0,0 +1,7 @@ +5 +4 1 7 1 8 1 9 1 10 +4 1 11 1 12 1 13 1 14 +11 1 1 1 6 -1 8 -1 9 -1 11 -1 12 -1 14 -1 15 -1 16 -1 17 -1 18 +11 1 3 1 5 1 8 1 9 1 11 1 12 1 14 1 15 1 16 1 17 1 18 +11 1 2 1 4 1 8 1 9 1 11 1 12 1 14 1 15 1 16 1 17 1 18 +0 diff --git a/anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.pin b/anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.pin new file mode 100644 index 0000000..fe8e732 --- /dev/null +++ b/anno3/vpc/consegne/2/gspn/Es2B-CTL model checking of PT.solution/PT.pin @@ -0,0 +1,8 @@ +6 +11 1 3 1 5 1 8 1 9 1 11 1 12 1 14 1 15 1 16 1 17 1 18 +4 1 1 1 3 1 5 1 6 +11 1 2 1 4 1 8 1 9 1 11 1 12 1 14 1 15 1 16 1 17 1 18 +4 1 1 1 2 1 4 1 6 +4 1 11 1 12 1 13 1 14 +4 1 7 1 8 1 9 1 10 +0 diff --git a/anno3/vpc/consegne/2/gspn/Es2B.PNPRO b/anno3/vpc/consegne/2/gspn/Es2B.PNPRO index fccd9e9..a77d380 100644 --- a/anno3/vpc/consegne/2/gspn/Es2B.PNPRO +++ b/anno3/vpc/consegne/2/gspn/Es2B.PNPRO @@ -1,6 +1,6 @@ - + @@ -127,4 +127,29 @@ + + + + + + + + + + + + + + + + + + + + + + + + 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+ diff --git a/anno3/vpc/consegne/2/gspn/EsD.PNPRO b/anno3/vpc/consegne/2/gspn/EsD.PNPRO index bbd2c1c..7c35604 100644 --- a/anno3/vpc/consegne/2/gspn/EsD.PNPRO +++ b/anno3/vpc/consegne/2/gspn/EsD.PNPRO @@ -127,12 +127,25 @@ - + - + + + + + + + + + + + + + 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+ diff --git a/anno3/vpc/consegne/3/analisi.org b/anno3/vpc/consegne/3/analisi.org index 4fc8cd7..5e7e8b8 100644 --- a/anno3/vpc/consegne/3/analisi.org +++ b/anno3/vpc/consegne/3/analisi.org @@ -87,13 +87,9 @@ AG (#Q1==1 -> EF (#Q3 == 1)) #+END_SRC \includepdf{3.2.jpg} ** Algebra dei processi -L'algoritmo 3.6 modellato secondo NuSMV e GreatSPN mostra che non c'e` -la mutua esclusione. -Questo viene evidenziato anche dal fatto che i nodi del Reachability -Graph corrispondo al prodotto cartesiano P×Q. -Anche il Derivation Graph del modello in algebra dei processi ha 25 -nodi ed e` equivalente al Reachability Graph. -| System = {(P₁ \vert{}\vert{} Q₁) \vert{}\vert{} Tₚ} \ttvar{\ }Sync +Riportiamo il modello dell'algoritmo 3.2 secondo l'algebra dei +processi. +| System = {(P₁ \vert{}\vert{} Q₁) \vert{}\vert{} Tₚ} \ttvar{/ }Sync | S = {localₚ, local_{q}, criticalₚ, critical_{q}} | Sync = {isₚ, is_{q}, setₚ, set_{q}} @@ -110,8 +106,8 @@ nodi ed e` equivalente al Reachability Graph. | Q₃ ::= critical_{q}.Q₄ | Q₄ ::= set_{p}.Q₁ -\includepdf{rg_3.6.jpg} -\includepdf{derivation_3.6.jpg} +\includepdf{rg_3.2.jpg} +\includepdf{derivation_3.2.jpg} ** Risultati Nella tabella mostriamo i risultati ottenuti @@ -322,10 +318,14 @@ AG (#Q2 == 1 -> AF (#Q4 == 1)) #+END_SRC \includepdf{3.6.jpg} ** Algebra dei processi -Riportiamo il modello dell'algoritmo 3.2 secondo l'algebra dei -processi. +L'algoritmo 3.6 modellato secondo NuSMV e GreatSPN mostra che non c'e` +la mutua esclusione. +Questo viene evidenziato anche dal fatto che i nodi del Reachability +Graph corrispondo al prodotto cartesiano P×Q. +Anche il Derivation Graph del modello in algebra dei processi ha 25 +nodi ed e` equivalente al Reachability Graph. -| System = {(P₁ \vert{}\vert{} Q₁) \vert{}\vert{} (Wantₚ₀ \vert{}\vert{} Want_{q}₀)} \ttvar{\ }Sync +| System = {(P₁ \vert{}\vert{} Q₁) \vert{}\vert{} (Wantₚ₀ \vert{}\vert{} Want_{q}₀)} \ttvar{/ }Sync | Sync = { isTrueₚ, isFalseₚ, setTrueₚ, setFalseₚ, | \enspace{}\quad{}\quad{} isTrue_{q}, isFalse_{q}, setTrue_{q}, setFalse_{q} } | S = {localₚ, criticalₚ, local_{q}, critical_{q}} @@ -347,6 +347,9 @@ processi. | Q₅ ::= setFalse_{q}.Q₁ +\includepdf{rg_3.6.jpg} +\includepdf{derivation_3.6.jpg} + ** Risultati Nella tabella mostriamo i risultati ottenuti | | NuSMV | GreatSPN | diff --git a/anno3/vpc/consegne/3/analisi.pdf b/anno3/vpc/consegne/3/analisi.pdf index 3eb72f766c36074cd8a44804409cdd7c3a66e559..26c32543908bd5fa6ee6f02f728c4addbad72036 100644 GIT binary patch delta 337986 zcmdqIWl&t-mo|DDcMI+gK|*l15G;fM5!@0WxVtt4cMBXs@SwqhdvFWx3GN!88*Tjd z|2Ol_JMXQjxwmf3r~6?yr;1(coGr_qXRW>2kDH~?A1ckLV&dXprw7SnXq&G3n}w%D zZKvFRrGi4wN*(#Tb2A@j?v?O1$rD;934Fv05~C>Wh93W_4kjCl+>q1YuRl9mKH9fN zS9f@n?kAl)bG$P+_@`hK8>o6+ZGOT5VUMh5*CN46X8$sreDIlAh8i{Ch3r;C^h)WT z)o|U*o#EGYc-dy;T`$SMqGi zh0@CFDh^$m5A1zJ-RLgp%f^`k6IVB ze`qL2e}>XK#phgZ+`ryZR$H`KxN_dZef^n?*n(tD{oPeFD6pg%mip#78WZ8rTcBAv zfuQT1X(Raomcb9JN;|QIJSF@+iMPATI-*)8>)YWNd=VcSJ-;wRC(E5T$(2Ec8=Dvj z*>8mb0|o61J`} 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b/todo.org index 7a78544..34ea7b3 100644 --- a/todo.org +++ b/todo.org @@ -1,24 +1,29 @@ -* TODO VPC [10/19] +* TODO VPC [16/19] - [X] chiedi della riduzione - [X] calcolo semiflussi come da mail - [X] chiedi dell'esame - [X] Es1: definizioni - [X] Rimuovi parte in cui parli di archi inibitori -- [ ] Chiedi a Daniel come da p-semiflows deadlock -- [ ] Chiedi a Daniel come da p-semiflows liveness -- [ ] spiega nelle relazioni che bounded se RS finito -- [ ] spiega nelle relazioni che bounded quando coperta da p-semiflows +- [X] Chiedi a Daniel come da p-semiflows deadlock +- [X] Chiedi a Daniel come da p-semiflows liveness +- [X] spiega nelle relazioni che bounded se RS finito +- [X] spiega nelle relazioni che bounded quando coperta da p-semiflows - [X] Vedi bisimulazione ed equivalenze in teoria analisi -- [ ] Teoria [0/3] +- [ ] Teoria [0/8] - [ ] Hierarchy of equivalences - [ ] algebra.extra.lucca: internal/external choices - [ ] Observer e testing equivalence -- [-] rete A, b, c, d [2/3] - - [ ] Spiega p-t-semiflows analysis: deadlock e liveness, boundness + - [ ] Vedi bene legge conservazione token + - [ ] Vedi bene fairness, liveness come formule? + - [ ] Vedi da relazioni procedure dimostrazione deadlock + - [ ] Impara equivalenze come le spiega lei + - [ ] Formalizza algoritmo bisimulazione +- [X] rete A, b, c, d [3/3] + - [X] Spiega p-t-semiflows analysis: deadlock e liveness, boundness - [X] sulle slide, quando si chiede come deve decidere il master - [X] Sistema screenshots di GSPN non tagliati - [X] rete E, F -> Controlla sia finito -- [-] Analisi [18/23] +- [-] Analisi [18/22] - [X] Spiega perche` non hai usato process - [X] Riguardo RGGMED4, non posso scrivere ltl equiparabile a ctl? - [X] Specifica all'inizio che usi condizione piu` bassa per deadlock @@ -28,7 +33,6 @@ - [X] modellazione - [X] rg vs dg - [ ] equivalenza e bisimulazione - - [ ] Spiega p-t-semiflows analysis: deadlock e liveness, boundness - [X] 3.2, 3.5 rifai immagini e ctl con nuovi nomi spazi / transizioni - [ ] E` algebra CSP? Specifica - [X] Vedi necessita` di Sync e / @@ -46,11 +50,11 @@ - [X] chiedi a lei di safety, liveness, fairness - [ ] mi sa non finito - [X] uppal, es 4 [4/4] - - [X] Galla`: su uppaall e` stato lui a scegliere i valori numerici_tempo + - [X] Galla`: su uppaal e` stato lui a scegliere i valori numerici_tempo - [X] Come si prende intervallo attesa richiesto da Donatelli? - [X] Fai intervallo attesa - [X] Cambia nomi -- [ ] CSP: che significa sync? +- [X] CSP: che significa sync? - [X] controlla esercizi nuovi - [X] Controlla bene e studia Symbolic Reachability Graph: perche` cosi` buono? - [ ] Confrontare esercizi con Galla`