From b472e6db1c05ae6e70ad2e058692b6bbe7b22381 Mon Sep 17 00:00:00 2001 From: Francesco Mecca Date: Thu, 21 May 2020 23:34:22 +0200 Subject: [PATCH] riduzione + trace_eq --- anno3/vpc/consegne/3/analisi.org | 18 +++++++++++++++--- anno3/vpc/consegne/3/analisi.pdf | Bin 2361954 -> 2569626 bytes anno3/vpc/consegne/3/ridotto_3.6.jpg | Bin 0 -> 95646 bytes anno3/vpc/consegne/3/ridotto_3.8.jpg | Bin 0 -> 97950 bytes anno3/vpc/consegne/conv/conv.py | 2 +- todo.org | 24 ++++++++++++++---------- 6 files changed, 30 insertions(+), 14 deletions(-) create mode 100644 anno3/vpc/consegne/3/ridotto_3.6.jpg create mode 100644 anno3/vpc/consegne/3/ridotto_3.8.jpg diff --git a/anno3/vpc/consegne/3/analisi.org b/anno3/vpc/consegne/3/analisi.org index 7725ddd..80d0203 100644 --- a/anno3/vpc/consegne/3/analisi.org +++ b/anno3/vpc/consegne/3/analisi.org @@ -88,7 +88,7 @@ AG (#Q1==1 -> EF (#Q3 == 1)) \includepdf{3.2.jpg} ** Algebra dei processi Riportiamo il modello dell'algoritmo 3.2 secondo l'algebra dei -processi. +processi CSP. | System = {(P₁ \vert{}\vert{} Q₁) \vert{}\vert{} Tₚ} \ttvar{/ }Sync | S = {localₚ, local_{q}, criticalₚ, critical_{q}} | Sync = {isₚ, is_{q}, setₚ, set_{q}} @@ -654,7 +654,6 @@ seguente formula CTL: che conferma la presenza di deadlock causata dalle due variabili booleane. \includepdf{3.9.jpg} -** TODO CCS ** Risultati Nella tabella mostriamo i risultati ottenuti | | NuSMV | GreatSPN | @@ -937,11 +936,12 @@ NuSMV non possiamo rispettare il requisito di fairness. | Assenza di deadlock | true | false | | No Starvation | true | false | -* Bisimulazione +* Equivalenza in algebra dei processi Precedentemente abbiamo modellato usando l'algebra dei processi l'algoritmo 3.2 e l'algoritmo 3.6. Entrambi hanno le seguenti azioni: | S = {localₚ, criticalₚ, local_{q}, critical_{q}} ∪ {τ} +** Bisimulazione Si applica l'algoritmo del partizionamento per verificare l'equivalenza tramite bisimulazione. Questo lo stato iniziale @@ -970,6 +970,18 @@ modelli, l'algoritmo raggiunge la terminazione quando non e` piu` possibile partizionare gli insieme in base alle azioni comuni e abbiamo come risultato che in ogni set compare uno stato di un modello insieme ad uno o piu` stati dell'altro. +** Trace equivalence +La trace equivalence e` piu` debole della bisimulation equivalence: +| p ∼ q → p ⋍_{T} q +ma non viceversa +| p ∼ q ↛ p ⋍_{T} q +notiamo subito che una sequenza /s/ dove /criticalₚ/ e /critical_{q}/ +appaiono in successione, non e` una sequenza valida per il modello +dell'algoritmo 3.2 ma lo e` per il modello dell'algoritmo 3.6. +| s = ...criticalₚcritical_{q}... +| s = ...critical_{q}criticalₚ... +Questo ci permette di dire che non c'e` trace equivalence fra i due modelli. + * Riduzione Le reti dell'algoritmo 3.6 e 3.8 differiscono per la successione delle istruzioni di /setTrue/ e /await/ e permettono simmetricamente le diff --git a/anno3/vpc/consegne/3/analisi.pdf 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