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swscrw.tla
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swscrw.tla
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-------------------------- MODULE swscrw --------------------------
EXTENDS Naturals, Integers, Sequences, FiniteSets
CONSTANT NumClients, Consistency, K
ASSUME Consistency \in {"Eventual", "Consistent_Prefix", "Session", "Bounded_Staleness", "Strong"}
ASSUME NumClients=1
Cloud == 0
Clients == 1..NumClients
(* --algorithm swscrw {
variables
chan = [n \in 0..NumClients |-> <<>>]; \* FIFO channels
\* network functions
macro send(des, msg) {
chan[des] := Append(chan[des], msg);
}
macro receive(msg) {
await Len(chan[self]) > 0;
msg := Head(chan[self]);
chan[self] := Tail(chan[self]);
}
process (cosmosdb \in {Cloud})
variables
Database = <<0>>; msg = <<>>;
{D: while(TRUE) {
receive(msg);
if (msg.type="Write"){
Database:=Append(Database,msg.dat);
DW: send(msg.orig, [type|-> "Ack", dat|->Database[Len(Database)], ses|->Len(Database)]);}
else if (msg.type="Eventual")
DE: with (k \in 1..Len(Database))
send(msg.orig, [type|-> "Reply", dat|->Database[k], ses|->k]);
else if (msg.type="Consistent_Prefix")
DP: with (k \in 1..Len(Database))
send(msg.orig, [type|-> "Reply", dat|->Database[k], ses|->k]);
else if (msg.type="Session")
DS: with (k \in msg.ses..Len(Database))
send(msg.orig, [type|-> "Reply", dat|->Database[k], ses|->k]);
else if (msg.type="Bounded_Staleness")
DB: with (k \in (IF Len(Database)>K THEN Len(Database)-K ELSE 1)..Len(Database))
send(msg.orig, [type|-> "Reply", dat|->Database[k], ses|->k]);
else if (msg.type="Strong")
DG: with (k= Len(Database))
send(msg.orig, [type|-> "Reply", dat|->Database[k], ses|->k]);
}
}
process (client \in Clients)
variables
m = <<>>; op=0; v=0; chistory = <<0>>; ses=1;
{
CR: while(TRUE) {
send(Cloud, [type |-> Consistency, ses|->ses, orig |-> self]); \* read
CRA: receive(m); \* Reply
chistory:= Append(chistory,m.dat);
v:=m.dat;
ses:=m.ses;
\* write v+1
CW: send(Cloud, [type |-> "Write", dat |-> v+1, ses|->ses, orig |-> self]);
CWA: receive(m); \* Ack
ses:=m.ses;
op:=op+1;
}
}
} \* end algorithm
*)
\* BEGIN TRANSLATION
VARIABLES chan, pc, Database, msg, m, op, v, chistory, ses
vars == << chan, pc, Database, msg, m, op, v, chistory, ses >>
ProcSet == ({Cloud}) \cup (Clients)
Init == (* Global variables *)
/\ chan = [n \in 0..NumClients |-> <<>>]
(* Process cosmosdb *)
/\ Database = [self \in {Cloud} |-> <<0>>]
/\ msg = [self \in {Cloud} |-> <<>>]
(* Process client *)
/\ m = [self \in Clients |-> <<>>]
/\ op = [self \in Clients |-> 0]
/\ v = [self \in Clients |-> 0]
/\ chistory = [self \in Clients |-> <<0>>]
/\ ses = [self \in Clients |-> 1]
/\ pc = [self \in ProcSet |-> CASE self \in {Cloud} -> "D"
[] self \in Clients -> "CR"]
D(self) == /\ pc[self] = "D"
/\ Len(chan[self]) > 0
/\ msg' = [msg EXCEPT ![self] = Head(chan[self])]
/\ chan' = [chan EXCEPT ![self] = Tail(chan[self])]
/\ IF msg'[self].type="Write"
THEN /\ Database' = [Database EXCEPT ![self] = Append(Database[self],msg'[self].dat)]
/\ pc' = [pc EXCEPT ![self] = "DW"]
ELSE /\ IF msg'[self].type="Eventual"
THEN /\ pc' = [pc EXCEPT ![self] = "DE"]
ELSE /\ IF msg'[self].type="Consistent_Prefix"
THEN /\ pc' = [pc EXCEPT ![self] = "DP"]
ELSE /\ IF msg'[self].type="Session"
THEN /\ pc' = [pc EXCEPT ![self] = "DS"]
ELSE /\ IF msg'[self].type="Bounded_Staleness"
THEN /\ pc' = [pc EXCEPT ![self] = "DB"]
ELSE /\ IF msg'[self].type="Strong"
THEN /\ pc' = [pc EXCEPT ![self] = "DG"]
ELSE /\ pc' = [pc EXCEPT ![self] = "D"]
/\ UNCHANGED Database
/\ UNCHANGED << m, op, v, chistory, ses >>
DW(self) == /\ pc[self] = "DW"
/\ chan' = [chan EXCEPT ![(msg[self].orig)] = Append(chan[(msg[self].orig)], ([type|-> "Ack", dat|->Database[self][Len(Database[self])], ses|->Len(Database[self])]))]
/\ pc' = [pc EXCEPT ![self] = "D"]
/\ UNCHANGED << Database, msg, m, op, v, chistory, ses >>
DE(self) == /\ pc[self] = "DE"
/\ \E k \in 1..Len(Database[self]):
chan' = [chan EXCEPT ![(msg[self].orig)] = Append(chan[(msg[self].orig)], ([type|-> "Reply", dat|->Database[self][k], ses|->k]))]
/\ pc' = [pc EXCEPT ![self] = "D"]
/\ UNCHANGED << Database, msg, m, op, v, chistory, ses >>
DP(self) == /\ pc[self] = "DP"
/\ \E k \in 1..Len(Database[self]):
chan' = [chan EXCEPT ![(msg[self].orig)] = Append(chan[(msg[self].orig)], ([type|-> "Reply", dat|->Database[self][k], ses|->k]))]
/\ pc' = [pc EXCEPT ![self] = "D"]
/\ UNCHANGED << Database, msg, m, op, v, chistory, ses >>
DS(self) == /\ pc[self] = "DS"
/\ \E k \in msg[self].ses..Len(Database[self]):
chan' = [chan EXCEPT ![(msg[self].orig)] = Append(chan[(msg[self].orig)], ([type|-> "Reply", dat|->Database[self][k], ses|->k]))]
/\ pc' = [pc EXCEPT ![self] = "D"]
/\ UNCHANGED << Database, msg, m, op, v, chistory, ses >>
DB(self) == /\ pc[self] = "DB"
/\ \E k \in (IF Len(Database[self])>K THEN Len(Database[self])-K ELSE 1)..Len(Database[self]):
chan' = [chan EXCEPT ![(msg[self].orig)] = Append(chan[(msg[self].orig)], ([type|-> "Reply", dat|->Database[self][k], ses|->k]))]
/\ pc' = [pc EXCEPT ![self] = "D"]
/\ UNCHANGED << Database, msg, m, op, v, chistory, ses >>
DG(self) == /\ pc[self] = "DG"
/\ LET k == Len(Database[self]) IN
chan' = [chan EXCEPT ![(msg[self].orig)] = Append(chan[(msg[self].orig)], ([type|-> "Reply", dat|->Database[self][k], ses|->k]))]
/\ pc' = [pc EXCEPT ![self] = "D"]
/\ UNCHANGED << Database, msg, m, op, v, chistory, ses >>
cosmosdb(self) == D(self) \/ DW(self) \/ DE(self) \/ DP(self) \/ DS(self)
\/ DB(self) \/ DG(self)
CR(self) == /\ pc[self] = "CR"
/\ chan' = [chan EXCEPT ![Cloud] = Append(chan[Cloud], ([type |-> Consistency, ses|->ses[self], orig |-> self]))]
/\ pc' = [pc EXCEPT ![self] = "CRA"]
/\ UNCHANGED << Database, msg, m, op, v, chistory, ses >>
CRA(self) == /\ pc[self] = "CRA"
/\ Len(chan[self]) > 0
/\ m' = [m EXCEPT ![self] = Head(chan[self])]
/\ chan' = [chan EXCEPT ![self] = Tail(chan[self])]
/\ chistory' = [chistory EXCEPT ![self] = Append(chistory[self],m'[self].dat)]
/\ v' = [v EXCEPT ![self] = m'[self].dat]
/\ ses' = [ses EXCEPT ![self] = m'[self].ses]
/\ pc' = [pc EXCEPT ![self] = "CW"]
/\ UNCHANGED << Database, msg, op >>
CW(self) == /\ pc[self] = "CW"
/\ chan' = [chan EXCEPT ![Cloud] = Append(chan[Cloud], ([type |-> "Write", dat |-> v[self]+1, ses|->ses[self], orig |-> self]))]
/\ pc' = [pc EXCEPT ![self] = "CWA"]
/\ UNCHANGED << Database, msg, m, op, v, chistory, ses >>
CWA(self) == /\ pc[self] = "CWA"
/\ Len(chan[self]) > 0
/\ m' = [m EXCEPT ![self] = Head(chan[self])]
/\ chan' = [chan EXCEPT ![self] = Tail(chan[self])]
/\ ses' = [ses EXCEPT ![self] = m'[self].ses]
/\ op' = [op EXCEPT ![self] = op[self]+1]
/\ pc' = [pc EXCEPT ![self] = "CR"]
/\ UNCHANGED << Database, msg, v, chistory >>
client(self) == CR(self) \/ CRA(self) \/ CW(self) \/ CWA(self)
Next == (\E self \in {Cloud}: cosmosdb(self))
\/ (\E self \in Clients: client(self))
Spec == Init /\ [][Next]_vars
\* END TRANSLATION
Messages ==
[type : {"Eventual","Consistent_Prefix","Bounded_Staleness","Strong"}, dat: {0..Nat}, ses: {0..Nat}, orig: Clients]
\cup [type : {"Reply", "Ack"}, dat: {0..Nat}, ses: {0..Nat}]
\* Invariants for single client(ID=1) writing with op++
Eventual ==
chistory[1][Len(chistory[1])] \in {Database[Cloud][i]: i \in 1..Len(Database[Cloud])}
Monotonic(history) ==
\* Assert monotonic reads.
\A i, j \in DOMAIN history : i <= j => history[i] <= history[j]
Consistent_Prefix ==
/\ chistory[1][Len(chistory[1])] \in
{Database[Cloud][i]: i \in 1..Len(Database[Cloud])}
/\ Monotonic(chistory[1])
Session == pc[1]="CW" =>
/\ chistory[1][Len(chistory[1])] \in
{Database[Cloud][i]: i \in ses[1]..Len(Database[Cloud])}
/\ Monotonic(chistory[1])
Bounded_Staleness == pc[1]="CW" =>
/\ chistory[1][Len(chistory[1])] \in
{Database[Cloud][i]: i \in (IF Len(Database[Cloud])>K THEN Len(Database[Cloud])-K ELSE 1)..Len(Database[Cloud])}
/\ Monotonic(chistory[1])
Strong == pc[1]="CW" =>
/\ chistory[1][Len(chistory[1])] = Database[Cloud][Len(Database[Cloud])]
/\ Monotonic(chistory[1])
=============================================================================