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(* Generic module that aims to handle operators and applications *) | ||
(* Just need to import it, and override some operators in order to have a trace spec that works *) | ||
---- MODULE TVOperators ---- | ||
EXTENDS TLC, Sequences, SequencesExt, Naturals, FiniteSets, Bags, Json, IOUtils | ||
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(* Constant to override *) | ||
CONSTANT Nil | ||
(* Operators to override *) | ||
Default(varName) == Print(<<"Trace spec isn't valid, you should override 'Default' operator.">>, Nil) | ||
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(* Generic operators *) | ||
Replace(cur, val) == val | ||
AddElement(cur, val) == cur \cup {val} | ||
AddElements(cur, vals) == cur \cup ToSet(vals) | ||
RemoveElement(cur, val) == cur \ {val} | ||
Clear(cur, val) == {} | ||
AppendElement(cur, val) == Append(cur, val) | ||
RemoveKey(cur, val) == [k \in DOMAIN cur |-> IF k = val THEN Nil ELSE cur[k]] | ||
UpdateRec(cur, val) == [k \in DOMAIN cur |-> IF k \in DOMAIN val THEN val[k] ELSE cur[k]] | ||
AddToBag(cur, val) == | ||
IF val \in DOMAIN cur THEN | ||
[cur EXCEPT ![val] = cur[val] + 1] | ||
ELSE | ||
cur @@ (val :> 1) | ||
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RemoveFromBag(cur, val) == | ||
IF val \in DOMAIN cur THEN | ||
[cur EXCEPT ![val] = cur[val] - 1] | ||
ELSE | ||
cur | ||
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Add(cur, val) == cur + val | ||
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Apply(var, default, op, args) == | ||
CASE op = "Replace" -> Replace(var, args[1]) | ||
[] op = "AddElement" -> AddElement(var, args[1]) | ||
[] op = "AddElements" -> AddElements(var, args[1]) | ||
[] op = "RemoveElement" -> RemoveElement(var, args[1]) | ||
[] op = "AddToBag" -> AddToBag(var, args[1]) | ||
[] op = "RemoveFromBag" -> RemoveFromBag(var, args[1]) | ||
[] op = "Add" -> Add(var, args[1]) | ||
[] op = "Clear" -> Clear(var, <<>>) | ||
[] op = "AppendElement" -> AppendElement(var, args[1]) | ||
[] op = "RemoveKey" -> RemoveKey(var, args[1]) | ||
[] op = "UpdateRec" -> UpdateRec(var, args[1]) | ||
[] op = "Init" -> Replace(var, default) | ||
[] op = "InitWithValue" -> UpdateRec(default, args[1]) | ||
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RECURSIVE ExceptAtPath(_,_,_,_,_) | ||
LOCAL ExceptAtPath(var, default, path, op, args) == | ||
LET h == Head(path) IN | ||
IF Len(path) > 1 THEN | ||
[var EXCEPT ![h] = ExceptAtPath(var[h], default[h], Tail(path), op, args)] | ||
ELSE | ||
[var EXCEPT ![h] = Apply(@, default[h], op, args)] | ||
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RECURSIVE ApplyUpdates(_,_,_) | ||
LOCAL ApplyUpdates(var, varName, updates) == | ||
LET update == Head(updates) IN | ||
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LET applied == | ||
IF Len(update.path) > 0 THEN | ||
ExceptAtPath(var, Default(varName), update.path, update.op, update.args) | ||
ELSE | ||
Apply(var, Default(varName), update.op, update.args) | ||
IN | ||
IF Len(updates) > 1 THEN | ||
ApplyUpdates(applied, varName, Tail(updates)) | ||
ELSE | ||
applied | ||
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==== |
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(* Generic module that aims to handle trace specifications *) | ||
(* Just need to import it, and override some operators in order to have a trace spec that works *) | ||
---- MODULE TraceSpec ---- | ||
EXTENDS TLC, Sequences, SequencesExt, Naturals, FiniteSets, Bags, Json, IOUtils, TVOperators | ||
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ASSUME TLCGet("config").mode = "bfs" | ||
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VARIABLES l | ||
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(* Operators to override *) | ||
Vars == Print(<<"Trace spec isn't valid, you should override 'Vars'.">>, <<>>) | ||
BaseInit == Print(<<"Trace spec isn't valid, you should override 'BaseInit'.">>, Nil) | ||
TraceNext == Print(<<"Trace spec isn't valid, you should override 'TraceNext'.">>, Nil) | ||
MapVariables(logline) == Print(<<"Trace spec isn't valid, you should override 'MapVariables'.">>, Nil) | ||
\*ASSUME Vars /= <<>> | ||
\*ASSUME BaseInit # Nil | ||
\*ASSUME TraceNext # Nil | ||
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(* Read trace *) | ||
JsonTrace == | ||
IF "TRACE_PATH" \in DOMAIN IOEnv THEN | ||
ndJsonDeserialize(IOEnv.TRACE_PATH) | ||
ELSE | ||
Print(<<"Failed to validate the trace. TRACE_PATH environnement variable was expected.">>, "") | ||
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(* Get trace skipping config line *) | ||
Trace == | ||
SubSeq(JsonTrace, 2, Len(JsonTrace)) | ||
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logline == | ||
Trace[l] | ||
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IsEvent(e) == | ||
\* Equals FALSE if we get past the end of the log, causing model checking to stop. | ||
/\ l \in 1..Len(Trace) | ||
/\ IF "desc" \in DOMAIN logline THEN logline.desc = e ELSE TRUE | ||
/\ l' = l + 1 | ||
/\ MapVariables(logline) | ||
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TraceInit == | ||
/\ l = 1 | ||
/\ BaseInit | ||
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TraceSpec == | ||
\* Because of [A]_v <=> A \/ v=v' , the following formula is logically | ||
\* equivalent to the (canonical) Spec formual Init /\ [][Next]_vars . | ||
\* However, TLC's breadth-first algorithm does not explore successor | ||
\* states of a *seen* state. Since one or more states may appear one or | ||
\* more times in the the trace, the UNCHANGED vars combined with the | ||
\* TraceView that includes TLCGet("level") is our workaround. | ||
TraceInit /\ [][TraceNext]_<<l, Vars>> | ||
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TraceAccepted == | ||
LET d == TLCGet("stats").diameter IN | ||
IF d - 1 = Len(Trace) THEN TRUE | ||
ELSE Print(<<"Failed matching the trace to (a prefix of) a behavior:", Trace[d], | ||
"TLA+ debugger breakpoint hit count " \o ToString(d+1)>>, FALSE) | ||
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TraceView == | ||
\* A high-level state s can appear multiple times in a system trace. Including the | ||
\* current level in TLC's view ensures that TLC will not stop model checking when s | ||
\* appears the second time in the trace. Put differently, TraceView causes TLC to | ||
\* consider s_i and s_j , where i and j are the positions of s in the trace, | ||
\* to be different states. | ||
<<Vars, TLCGet("level")>> | ||
==== |
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CONSTANTS | ||
Server <- TraceServer | ||
Value <- TraceValue | ||
Nil <- TraceNil | ||
RequestVoteRequest = "RequestVoteRequest" | ||
RequestVoteResponse = "RequestVoteResponse" | ||
AppendEntriesRequest = "AppendEntriesRequest" | ||
AppendEntriesResponse = "AppendEntriesResponse" | ||
Follower = "Follower" | ||
Candidate = "Candidate" | ||
Leader = "Leader" | ||
(* Set variables of TVOperators module *) | ||
Default <- RADefault | ||
(* Set variables of TraceSpec module *) | ||
Vars <- vars | ||
BaseInit <- Init | ||
MapVariables <- RAMapVariables | ||
TraceNext <- RATraceNext | ||
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SPECIFICATION | ||
TraceSpec | ||
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VIEW | ||
TraceView | ||
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PROPERTIES | ||
BaseSpec | ||
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POSTCONDITION | ||
TraceAccepted | ||
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CHECK_DEADLOCK | ||
FALSE |
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--------------------------- MODULE raftTrace2 --------------------------- | ||
(***************************************************************************) | ||
(* Simplified specification of 2PC *) | ||
(***************************************************************************) | ||
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EXTENDS TLC, Sequences, SequencesExt, Naturals, FiniteSets, Bags, Json, IOUtils, raft, TVOperators, TraceSpec | ||
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(* Override CONSTANTS *) | ||
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(* Replace Nil constant *) | ||
TraceNil == "null" | ||
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(* Replace Server constant *) | ||
TraceServer == | ||
ToSet(JsonTrace[1].Server) | ||
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(* Replace Value constant *) | ||
TraceValue == | ||
ToSet(JsonTrace[1].Value) | ||
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(* Can be extracted from init *) | ||
RADefault(varName) == | ||
CASE varName = "currentTerm" -> [i \in Server |-> 1] | ||
[] varName = "state" -> [i \in Server |-> Follower] | ||
[] varName = "votedFor" -> [i \in Server |-> Nil] | ||
[] varName = "votesResponded" -> [i \in Server |-> {}] | ||
[] varName = "votesGranted" -> [i \in Server |-> {}] | ||
[] varName = "nextIndex" -> [i \in Server |-> [j \in Server |-> 1]] | ||
[] varName = "matchIndex" -> [i \in Server |-> [j \in Server |-> 0]] | ||
[] varName = "messages" -> [m \in {} |-> 0] | ||
[] varName = "log" -> [i \in Server |-> << >>] | ||
[] varName = "commitIndex" -> [i \in Server |-> 0] | ||
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RAMapVariables(t) == | ||
/\ | ||
IF "currentTerm" \in DOMAIN t | ||
THEN currentTerm' = ApplyUpdates(currentTerm, "currentTerm", t.currentTerm) | ||
ELSE TRUE | ||
/\ | ||
IF "state" \in DOMAIN t | ||
THEN state' = ApplyUpdates(state, "state", t.state) | ||
ELSE TRUE | ||
/\ | ||
IF "votedFor" \in DOMAIN t | ||
THEN votedFor' = ApplyUpdates(votedFor, "votedFor", t.votedFor) | ||
ELSE TRUE | ||
/\ | ||
IF "votesResponded" \in DOMAIN t | ||
THEN votesResponded' = ApplyUpdates(votesResponded, "votesResponded", t.votesResponded) | ||
ELSE TRUE | ||
/\ | ||
IF "votesGranted" \in DOMAIN t | ||
THEN votesGranted' = ApplyUpdates(votesGranted, "votesGranted", t.votesGranted) | ||
ELSE TRUE | ||
/\ | ||
IF "nextIndex" \in DOMAIN t | ||
THEN nextIndex' = ApplyUpdates(nextIndex, "nextIndex", t.nextIndex) | ||
ELSE TRUE | ||
/\ | ||
IF "matchIndex" \in DOMAIN t | ||
THEN matchIndex' = ApplyUpdates(matchIndex, "matchIndex", t.matchIndex) | ||
ELSE TRUE | ||
/\ | ||
IF "messages" \in DOMAIN t | ||
THEN messages' = ApplyUpdates(messages, "messages", t.messages) | ||
ELSE TRUE | ||
/\ | ||
IF "log" \in DOMAIN t | ||
THEN log' = ApplyUpdates(log, "log", t.log) | ||
ELSE TRUE | ||
/\ | ||
IF "commitIndex" \in DOMAIN t | ||
THEN commitIndex' = ApplyUpdates(commitIndex, "commitIndex", t.commitIndex) | ||
ELSE TRUE | ||
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IsRestart == | ||
/\ IsEvent("Restart") | ||
/\ | ||
\/ | ||
/\ "node" \in DOMAIN logline | ||
/\ Restart(logline.node) | ||
\/ | ||
\E i \in Server : Restart(i) | ||
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IsTimeout == | ||
/\ IsEvent("Timeout") | ||
/\ | ||
\/ | ||
/\ "node" \in DOMAIN logline | ||
/\ Timeout(logline.node) | ||
\/ | ||
/\ \E i \in Server : Timeout(i) | ||
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IsRequestVote == | ||
/\ IsEvent("RequestVoteRequest") | ||
/\ | ||
\/ | ||
/\ "src" \in DOMAIN logline | ||
/\ "dest" \in DOMAIN logline | ||
/\ RequestVote(logline.src, logline.dest) | ||
\/ | ||
/\ \E i,j \in Server : RequestVote(i, j) | ||
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IsBecomeLeader == | ||
/\ IsEvent("BecomeLeader") | ||
/\ | ||
\/ | ||
/\ "node" \in DOMAIN logline | ||
/\ BecomeLeader(logline.node) | ||
\/ | ||
/\ \E i \in Server : BecomeLeader(i) | ||
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IsHandleRequestVoteRequest == | ||
/\ IsEvent("HandleRequestVoteRequest") | ||
/\ \E m \in DOMAIN messages : | ||
LET i == m.mdest | ||
j == m.msource IN | ||
/\ m.mtype = RequestVoteRequest | ||
/\ HandleRequestVoteRequest(i, j, m) | ||
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IsHandleRequestVoteResponse == | ||
/\ IsEvent("HandleRequestVoteResponse") | ||
/\ \E m \in DOMAIN messages : | ||
LET i == m.mdest | ||
j == m.msource IN | ||
/\ m.mtype = RequestVoteResponse | ||
/\ HandleRequestVoteResponse(i, j, m) | ||
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IsUpdateTerm == | ||
/\ IsEvent("UpdateTerm") | ||
/\ \E m \in DOMAIN messages : | ||
LET i == m.mdest | ||
j == m.msource IN | ||
UpdateTerm(i, j, m) | ||
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IsClientRequest == | ||
/\ IsEvent("ClientRequest") | ||
/\ | ||
\/ | ||
/\ "node" \in DOMAIN logline | ||
/\ "val" \in DOMAIN logline | ||
/\ ClientRequest(logline.node, logline.val) | ||
\/ | ||
/\ \E i \in Server, v \in Value : ClientRequest(i, v) | ||
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IsAppendEntries == | ||
/\ IsEvent("AppendEntries") | ||
/\ \E m \in DOMAIN messages : | ||
LET i == m.mdest | ||
j == m.msource IN | ||
AppendEntries(i, j) | ||
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IsAdvanceCommitIndex == | ||
/\ IsEvent("AdvanceCommitIndex") | ||
/\ | ||
\/ | ||
/\ "node" \in DOMAIN logline | ||
/\ AdvanceCommitIndex(logline.node) | ||
\/ | ||
/\ \E i \in Server : AdvanceCommitIndex(i) | ||
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IsHandleAppendEntriesRequest == | ||
/\ IsEvent("HandleAppendEntriesRequest") | ||
/\ \E m \in DOMAIN messages : | ||
LET i == m.mdest | ||
j == m.msource IN | ||
/\ m.mtype = AppendEntriesRequest | ||
/\ HandleAppendEntriesRequest(i, j, m) | ||
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IsHandleAppendEntriesResponse == | ||
/\ IsEvent("HandleAppendEntriesResponse") | ||
/\ \E m \in DOMAIN messages : | ||
LET i == m.mdest | ||
j == m.msource IN | ||
/\ m.mtype = AppendEntriesResponse | ||
/\ HandleAppendEntriesResponse(i, j, m) | ||
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RATraceNext == | ||
/\ | ||
\/ IsRestart | ||
\/ IsTimeout | ||
\/ IsRequestVote | ||
\/ IsBecomeLeader | ||
\/ IsHandleRequestVoteRequest | ||
\/ IsHandleRequestVoteResponse | ||
\/ IsUpdateTerm | ||
\/ IsClientRequest | ||
\/ IsAppendEntries | ||
\/ IsAdvanceCommitIndex | ||
\/ IsHandleAppendEntriesRequest | ||
\/ IsHandleAppendEntriesResponse | ||
/\ allLogs' = allLogs \cup {log[i] : i \in Server} | ||
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ComposedNext == TRUE | ||
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BASE == INSTANCE raft | ||
BaseSpec == BASE!Init /\ [][BASE!Next \/ ComposedNext]_vars | ||
----------------------------------------------------------------------------- | ||
============================================================================= |