ARB over DL + RB et version BFT

Recherche/BFT-ARBover/diagrams/BFT_behaviour.puml

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+@startuml
+!pragma teoz true
+
+database DL
+actor P1
+actor P2
+P1 -> DL : <latex>READ()</latex>
+DL --> P1 : <latex>P</latex>
+P1 -> P1 : <latex>r_{max} = max\{r : (\_, prove(r)) \in P\}</latex>
+
+loop <latex>\textbf{foreach } r \in \{r_{max} + 1, \dots\}</latex>
+
+    ' P1 ->(05) P2 : <latex>RBcast(prop, S, r, 1)</latex>
+
+    P1 -> DL : <latex>PROVE(r)</latex>
+    P1 -> DL : <latex>APPEND(r)</latex>
+
+    P1 -> DL : <latex>READ()</latex>
+    DL --> P1 : <latex>P</latex>
+
+    alt <latex>(1, \text{prove(}r\text{)}) \in P</latex>
+        note over P1 : break
+    end
+end
+
+P2 -> P2 : <latex>ABdeliver()</latex>
+P2 -> DL : <latex>READ()</latex>
+DL --> P2 : <latex>P</latex>
+note over P2
+    line(C4)
+    process P2 check locally if 
+    <latex>\forall j : (j, prove(r)) \not\in P</latex>
+    which is false since P1 correctly 
+    PROVE(r) and APPEND(r)
+
+    <latex>\text{P1 is next include in } W_r</latex>
+end note
+
+P2 -> DL : <latex>APPEND(r)</latex>
+P2 -> DL : <latex>READ()</latex>
+DL --> P2 : <latex>P</latex>
+
+note over P2
+    line(C9)
+    process P2 check locally if
+    <latex>\forall j \in W_r : prop[r][j] = \bot</latex>
+    which can't be false since P1 didn't
+    execute <latex>RBcast(prop, S, r, 1)</latex>
+
+    P2 will never progress and
+    deliver any futur messages
+end note
+hide footbox
+@enduml