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+ + diff --git a/anno3/vpc/consegne/3/3.2.b.smv b/anno3/vpc/consegne/3/3.2.b.smv index 94148ac..25d10b1 100644 --- a/anno3/vpc/consegne/3/3.2.b.smv +++ b/anno3/vpc/consegne/3/3.2.b.smv @@ -22,6 +22,8 @@ CTLSPEC -- no individual starvation AG (p.state = wait -> AF p.state = critical) CTLSPEC AG (q.state = wait -> AF q.state = critical) +CTLSPEC + AG (q.state = wait -> EF q.state = critical) MODULE proc(turn, id) -- Model a process taking turn VAR @@ -32,7 +34,7 @@ ASSIGN case state = begin: {begin, wait}; state = wait & turn = id: critical; - state = critical: critical; + state = critical: done; state = done: begin; TRUE: state; esac; \ No newline at end of file diff --git a/anno3/vpc/consegne/3/3.2.jpg b/anno3/vpc/consegne/3/3.2.jpg new file mode 100644 index 0000000000000000000000000000000000000000..f9ef1ec8d9ce930dfb1cddb458b979f319438367 GIT binary patch literal 42369 zcmeFZ1z42p+BW=94g!L7hlC;s3eq)%lt_0=$4EDbgCO0YAl=>FAkxweLrHf^NeutE 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z_)7!9ZwH3|(RGu-xr0y<_)-F#*HnU?K$9itNcLdeAv*A^)3_VMkU23yGu+R6$Z$zJN!B4ur=z?@A;=qWp=>9eNikS?C|acN($&CvXs11MCYVn&~Tiwtu2H~Hqb)Wm;#obzuSPwDf({{fAcVQ~Ne literal 0 HcmV?d00001 diff --git a/anno3/vpc/consegne/3/3.5.smv b/anno3/vpc/consegne/3/3.5.smv new file mode 100644 index 0000000..8079229 --- /dev/null +++ b/anno3/vpc/consegne/3/3.5.smv @@ -0,0 +1,40 @@ +MODULE main +VAR + turn: 1..2; + p: proc(turn, 1); + q: proc(turn, 2); +ASSIGN + init(turn) := 1; + next(turn) := case + p.state = done: 2; + q.state = done: 1; + TRUE: turn; + esac; + +CTLSPEC -- no mutual exclusion + AG (p.state != done | q.state != done) + +CTLSPEC -- no deadlock + AG ((p.state = await | q.state = await) -> AF (p.state = done | q.state = done)) + +CTLSPEC -- no individual starvation + AG (p.state = await -> AF p.state = done) +CTLSPEC + AG (q.state = await -> AF q.state = done) + +CTLSPEC -- prova: path senza starvation + AG (q.state = await -> EF q.state = done) + + + + +MODULE proc(turn, id) +VAR + state: {await, done}; +ASSIGN + init(state) := await; + next(state) := case + turn = id: {await, done}; + state = await: await; + state = done: await; + esac; \ No newline at end of file diff --git a/anno3/vpc/consegne/3/3.6.smv b/anno3/vpc/consegne/3/3.6.smv new file mode 100644 index 0000000..8c6aaba --- /dev/null +++ b/anno3/vpc/consegne/3/3.6.smv @@ -0,0 +1,52 @@ +MODULE main +VAR + wantP: boolean; + wantQ: boolean; + p: proc(wantP, wantQ); + q: proc(wantQ, wantP); +ASSIGN + init(wantP) := FALSE; + init(wantQ) := FALSE; + + next(wantP) := case + p.state = setTrue: TRUE; + p.state = setFalse: FALSE; + TRUE: wantP; + esac; + next(wantQ) := case + q.state = setTrue: TRUE; + q.state = setFalse: FALSE; + TRUE: wantQ; + esac; + +CTLSPEC -- no mutual exclusion + AG (p.state != critical | q.state != critical) + +CTLSPEC -- no deadlock + AG ((p.state = await | q.state = await) -> AF (p.state = critical | q.state = critical)) + +CTLSPEC -- no individual starvation + AG (p.state = await -> AF p.state = critical) +CTLSPEC + AG (q.state = await -> AF q.state = critical) + +CTLSPEC -- prova: path senza starvation + AG (q.state = await -> EF q.state = critical) + +CTLSPEC + EF(p.state = await -> AG(!(p.state = critical))) + + +MODULE proc(mine, other) +VAR + state: {local, await, critical, setTrue, setFalse}; +ASSIGN + init(state) := local; + next(state) := case + state = local: {local, await}; + state = await & other = FALSE: setTrue; + state = await: await; + state = setTrue: critical; + state = critical: setFalse; + state = setFalse: local; + esac; \ No newline at end of file diff --git a/anno3/vpc/consegne/3/analisi.org b/anno3/vpc/consegne/3/analisi.org index b27a700..2e53900 100644 --- a/anno3/vpc/consegne/3/analisi.org +++ b/anno3/vpc/consegne/3/analisi.org @@ -1,8 +1,34 @@ -* TODO [1/4] +# SCHELETRO: + +# * Algoritmo 3.5 +# Due processi iterano all'infinito seguendo questo pseudocodice + +# #+BEGIN_SRC +# #+END_SRC + +# ** NuSMV +# Si e` deciso di modellare l'algoritmo usando per ognuno dei due +# processi ... +# | CODE +# #+include 3.2.b.smv + +# ** GreatSPN +# ** TODO CCS +# ** Risultati + +Nella tabella mostriamo i risultati ottenuti +| | NuSMV | GreatSPN | +|---------------------+-------+----------| +| Mutua Esclusione | | | +| Assenza di deadlock | | | +| No Starvation | | | +* TODO [1/7] - [X] Cosa significa FAIRNESS running alla fine dei .smv -- [ ] Completa tabelle e immagine con greatspn - [ ] Riformula liveness - [ ] chiedi a lei di safety, liveness, fairness +- [ ] Vedi necessita` di Sync e / +- [ ] Finisci tutto con algebra dei processi +- [ ] Reachability graph vs Derivation Graph * TODO Proprieta` del modello @@ -42,14 +68,23 @@ while true: Si e` deciso di modellare l'algoritmo usando per ognuno dei due processi un'enumerazione di 4 stati ed una variabile turno di tipo intero. | state: {begin, wait, critical, done}; - #+include 3.2.b.smv +** GreatSPN +Il codice utilizzato per le proprieta` CTL e` il seguente: +#+BEGIN_SRC +AG(!(#Critical_P == 1) || !(#Critical_Q == 1)) = true +AG ((#Wait_P==1 || \#Critical_Q == 1) -> AF (#Critical_P == 1 || \#Critical_Q == 1)) = false +AG (#Wait_P==1 -> AF (#Critical_P == 1)) = false +#+END_SRC +[[./3.2.jpg]] +** TODO CCS +** Risultati Nella tabella mostriamo i risultati ottenuti | | NuSMV | GreatSPN | |---------------------+-------+----------| -| Mutua Esclusione | True | | -| Assenza di deadlock | True | | -| No Starvation | False | | +| Mutua Esclusione | True | True | +| Assenza di deadlock | False | False | +| No Starvation | False | False | Il risultato della possibilita` di deadlock non deve stupire: la specifica non obbliga un processo a terminare la fase begin. @@ -70,8 +105,118 @@ Trace Type: Counterexample -> State: 1.2 <- q.state = wait -> State: 1.3 <- - #+END_SRC Si vede che il processo q rimane nella fase begin e p, dopo essere entrato nella regione critica una volta, rimane bloccato in begin. Lo stesso trace mostra la possibilita` di starvation del processo. +La rete modellata con GreatSPN ci conferma quanto visto con NuSMV. + +Prendiamo in considerazione la seguente formula CTL +| AG (wₚ -> EF cₚ) +Sia GreatSPN che NuSMV ci mostrano che il sistema modellato rispetta +questa proprieta`. Questo significa che un processo in attesa di +entrare nella sezione critica ha la possibilita` di compiere +progresso, ma solo nel caso in cui, come si intuisce dal controesempio +precedente, l'altro processo decida di entrare in attesa a sua volta. + +* Algoritmo 3.5 +Due processi iterano all'infinito seguendo questo pseudocodice + +#+BEGIN_SRC +while true: + await turn = ID + turn <- (ID%2)+1 +#+END_SRC + +** NuSMV +Si e` deciso di modellare l'algoritmo usando per ognuno dei due +processi un'enumerazione di due stati e un contatore di turni intero +| state: {await, done}; +#+include 3.5.b.smv + +** GreatSPN +Il codice utilizzato per le proprieta` CTL e` il seguente: +#+BEGIN_SRC +AG(!(#Await_P == 1) || !(#Await_Q == 1)) = true +AG ((#Wait_P==1 || \#AWait_Q == 1) -> AF (#Done_P == 1 || \#Done_Q == 1)) = false +AG (#Await_P==1 -> AF (#Done_P == 1)) = false +#+END_SRC +[[./3.5.jpg]] +** TODO CCS +** Risultati +Nella tabella mostriamo i risultati ottenuti +| | NuSMV | GreatSPN | +|---------------------+-------+----------| +| Mutua Esclusione | true | true | +| Assenza di deadlock | false | false | +| No Starvation | false | false | +I risultati confermano il fatto che questo algoritmo e` solamente una +versione semplificata del precedente (/begin/ e /wait/ sono stati fusi +in await e /done/ rimosso) e pertanto il trace di controesempio +fornito da NuSMV e da GreatSPN presentano riflettono i risultati di +questa semplificazione. +- Possibilita` di deadlock: + #+BEGIN_SRC + – specification AG ((p.state = await | q.state = await) -> AF (p.state = done | q.state = done)) is false + – as demonstrated by the following execution sequence + Trace Description: CTL Counterexample + Trace Type: Counterexample + – Loop starts here + -> State: 1.1 <- + turn = 1 + p.state = await + q.state = await + -> State: 1.2 <- + #+END_SRC +- Possibilita` di starvation: i processi non compiono progresso + iterando infinite volte su /await/. + #+BEGIN_SRC + – specification AG (p.state = await -> AF p.state = done) is false + – as demonstrated by the following execution sequence + Trace Description: CTL Counterexample + Trace Type: Counterexample + – Loop starts here + -> State: 2.1 <- + turn = 1 + p.state = await + q.state = await + -> State: 2.2 <- + #+END_SRC + #+BEGIN_SRC + – specification AG (q.state = await -> AF q.state = done) is false + – as demonstrated by the following execution sequence + Trace Description: CTL Counterexample + Trace Type: Counterexample + – Loop starts here + -> State: 3.1 <- + turn = 1 + p.state = await + q.state = await + -> State: 3.2 <- + – specification AG (q.state = await -> EF q.state = done) is true + #+END_SRC +- Possibilita` di compiere progresso: + #+BEGIN_SRC + specification AG (q.state = await -> EF q.state = done) is true + #+END_SRC + +* Algoritmo 3.6 +Due processi iterano all'infinito seguendo questo pseudocodice +#+BEGIN_SRC +while true: + non-critical section + await wantQ = false + wantP <- true + critical section + wantP <- false +#+END_SRC + +** NuSMV +Si e` deciso di modellare l'algoritmo usando per ognuno dei due +processi ... +| CODE +#+include 3.6.smv + +** GreatSPN +** TODO CCS +** Risultati