Section RaftRefinementInterface.
Context {orig_base_params : BaseParams}.
Context {one_node_params : OneNodeParams orig_base_params}.
Context {raft_params : RaftParams orig_base_params}.
Record electionsData := mkElectionsData {
votes : list (term * name) ;
votesWithLog : list (term * name * list entry) ;
cronies : term -> list name ;
leaderLogs : list (term * list entry) ;
allEntries : list (term * entry)
}.
Definition update_elections_data_requestVote (me : name) (src : name) t candidateId lastLogIndex lastLogTerm st :=
let (st', r) :=
handleRequestVote me (snd st) t candidateId lastLogIndex lastLogTerm
in
match (votedFor (snd st), votedFor st') with
| (None, Some cid) =>
{| votes := (currentTerm st', cid) :: votes (fst st) ;
votesWithLog := (currentTerm st', cid, log st') :: votesWithLog (fst st) ;
cronies := cronies (fst st) ;
leaderLogs := leaderLogs (fst st) ;
allEntries := allEntries (fst st)
|}
| (Some cid, Some cid') =>
if andb (beq_nat (currentTerm (snd st)) (currentTerm st')) (if name_eq_dec cid cid' then true else false) then
fst st
else
{| votes := (currentTerm st', cid') :: votes (fst st) ;
votesWithLog := (currentTerm st', cid', log st') :: votesWithLog (fst st) ;
cronies := cronies (fst st) ;
leaderLogs := leaderLogs (fst st) ;
allEntries := allEntries (fst st)
|}
| _ => fst st
end.
Definition update_elections_data_requestVoteReply (me : name) (src : name) t voteGranted st :=
let st' := handleRequestVoteReply me (snd st) src t voteGranted in
match (type st') with
| Follower => fst st
| Candidate =>
{| votes := votes (fst st) ;
votesWithLog := votesWithLog (fst st) ;
cronies :=
fun tm => (if eq_nat_dec tm (currentTerm st') then
votesReceived st'
else
cronies (fst st) tm) ;
leaderLogs := leaderLogs (fst st) ;
allEntries := allEntries (fst st)
|}
| Leader =>
{| votes := votes (fst st) ;
votesWithLog := votesWithLog (fst st) ;
cronies :=
fun tm => (if eq_nat_dec tm (currentTerm st') then
votesReceived st'
else
cronies (fst st) tm) ;
leaderLogs := if serverType_eq_dec (type (snd st)) Candidate then
(currentTerm st', log st') :: leaderLogs (fst st)
else
leaderLogs (fst st) ;
allEntries := allEntries (fst st)
|}
end.
Definition update_elections_data_appendEntries
(me : name)
st (t : term) (leaderId : name) (prevLogIndex : logIndex)
(prevLogTerm : term) (entries : list entry) (leaderCommit : logIndex) :=
let (_, m) := handleAppendEntries me (snd st) t leaderId prevLogIndex
prevLogTerm entries leaderCommit in
match m with
| AppendEntriesReply t entries true =>
{| votes := votes (fst st) ;
votesWithLog := votesWithLog (fst st) ;
cronies := cronies (fst st) ;
leaderLogs := leaderLogs (fst st) ;
allEntries := (map (fun e => (t, e)) entries) ++ allEntries (fst st)
|}
| _ => fst st
end.
Definition update_elections_data_net (me : name) (src: name) (m : msg) st : electionsData :=
match m with
| RequestVote t candidateId lastLogIndex lastLogTerm =>
update_elections_data_requestVote me src t src lastLogIndex lastLogTerm st
| RequestVoteReply t voteGranted =>
update_elections_data_requestVoteReply me src t voteGranted st
| AppendEntries t lid prevLogIndex prevLogTerm entries leaderCommit =>
update_elections_data_appendEntries me st t lid prevLogIndex prevLogTerm entries leaderCommit
| _ => fst st
end.
Definition update_elections_data_timeout (me : name) st : electionsData :=
let '(_, st', _) := handleTimeout me (snd st) in
match (votedFor st') with
| Some cid =>
if serverType_eq_dec (type (snd st)) Leader then
fst st
else
{| votes := (currentTerm st', cid) :: votes (fst st) ;
votesWithLog := (currentTerm st', cid, log st') :: votesWithLog (fst st) ;
cronies :=
if serverType_eq_dec (type st') Candidate then
fun tm => (if eq_nat_dec tm (currentTerm st') then
votesReceived st'
else
cronies (fst st) tm)
else
cronies (fst st) ;
leaderLogs := leaderLogs (fst st) ;
allEntries := allEntries (fst st)
|}
| None => fst st
end.
Definition update_elections_data_client_request (me : name) st client id c : electionsData :=
let '(_, st', _) := handleClientRequest me (snd st) client id c in
if length (log (snd st)) <? length (log st') then
match (log st') with
| e :: _ =>
{| votes := votes (fst st) ;
votesWithLog := votesWithLog (fst st) ;
cronies := cronies (fst st) ;
leaderLogs := leaderLogs (fst st) ;
allEntries := (currentTerm st', e) :: allEntries (fst st)
|}
| [] => fst st
end
else fst st.
Definition update_elections_data_input (me : name) (inp : raft_input) st : electionsData :=
match inp with
| Timeout => update_elections_data_timeout me st
| ClientRequest client id c => update_elections_data_client_request me st client id c
end.
Instance elections_ghost_params : GhostMultiParams multi_params :=
{
ghost_data := electionsData ;
ghost_init := {| votes := [] ; votesWithLog := []; cronies := fun _ => [];
leaderLogs := [] ;
allEntries := [] |} ;
ghost_net_handlers := update_elections_data_net ;
ghost_input_handlers := update_elections_data_input
}.
Definition raft_refined_base_params := refined_base_params.
Definition raft_refined_multi_params := refined_multi_params.
Definition raft_refined_failure_params := refined_failure_params.
Hint Extern 4 (@BaseParams) => apply raft_refined_base_params : typeclass_instances.
Hint Extern 4 (@MultiParams _) => apply raft_refined_multi_params : typeclass_instances.
Hint Extern 4 (@FailureParams _ _) => apply raft_refined_failure_params : typeclass_instances.
Inductive refined_raft_intermediate_reachable : network -> Prop :=
| RRIR_init : refined_raft_intermediate_reachable step_async_init
| RRIR_step_failure :
forall failed net failed' net' out,
refined_raft_intermediate_reachable net ->
step_failure (failed, net) (failed', net') out ->
refined_raft_intermediate_reachable net'
| RRIR_handleInput :
forall net h inp gd out d l ps' st',
refined_raft_intermediate_reachable net ->
handleInput h inp (snd (nwState net h)) = (out, d, l) ->
update_elections_data_input h inp (nwState net h) = gd ->
(forall h', st' h' = update name_eq_dec (nwState net) h (gd, d) h') ->
(forall p', In p' ps' -> In p' (nwPackets net) \/
In p' (send_packets h l)) ->
refined_raft_intermediate_reachable (mkNetwork ps' st')
| RRIR_handleMessage :
forall p net xs ys st' ps' gd d l,
refined_raft_intermediate_reachable net ->
handleMessage (pSrc p) (pDst p) (pBody p) (snd (nwState net (pDst p))) = (d, l) ->
update_elections_data_net (pDst p) (pSrc p) (pBody p) (nwState net (pDst p)) = gd ->
nwPackets net = xs ++ p :: ys ->
(forall h, st' h = update name_eq_dec (nwState net) (pDst p) (gd, d) h) ->
(forall p', In p' ps' -> In p' (xs ++ ys) \/
In p' (send_packets (pDst p) l)) ->
refined_raft_intermediate_reachable (mkNetwork ps' st')
| RRIR_doLeader :
forall net st' ps' h os gd d d' ms,
refined_raft_intermediate_reachable net ->
doLeader d h = (os, d', ms) ->
nwState net h = (gd, d) ->
(forall h', st' h' = update name_eq_dec (nwState net) h (gd, d') h') ->
(forall p, In p ps' -> In p (nwPackets net) \/
In p (send_packets h ms)) ->
refined_raft_intermediate_reachable (mkNetwork ps' st')
| RRIR_doGenericServer :
forall net st' ps' os gd d d' ms h,
refined_raft_intermediate_reachable net ->
doGenericServer h d = (os, d', ms) ->
nwState net h = (gd, d) ->
(forall h', st' h' = update name_eq_dec (nwState net) h (gd, d') h') ->
(forall p, In p ps' -> In p (nwPackets net) \/
In p (send_packets h ms)) ->
refined_raft_intermediate_reachable (mkNetwork ps' st').
Definition refined_raft_net_invariant_client_request (P : network -> Prop) :=
forall h net st' ps' gd out d l client id c,
handleClientRequest h (snd (nwState net h)) client id c = (out, d, l) ->
gd = update_elections_data_client_request h (nwState net h) client id c ->
P net ->
refined_raft_intermediate_reachable net ->
(forall h', st' h' = update name_eq_dec (nwState net) h (gd, d) h') ->
(forall p', In p' ps' -> In p' (nwPackets net) \/
In p' (send_packets h l)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_timeout (P : network -> Prop) :=
forall net h st' ps' gd out d l,
handleTimeout h (snd (nwState net h)) = (out, d, l) ->
gd = update_elections_data_timeout h (nwState net h) ->
P net ->
refined_raft_intermediate_reachable net ->
(forall h', st' h' = update name_eq_dec (nwState net) h (gd, d) h') ->
(forall p', In p' ps' -> In p' (nwPackets net) \/
In p' (send_packets h l)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_append_entries (P : network -> Prop) :=
forall xs p ys net st' ps' gd d m t n pli plt es ci,
handleAppendEntries (pDst p) (snd (nwState net (pDst p))) t n pli plt es ci = (d, m) ->
gd = update_elections_data_appendEntries (pDst p) (nwState net (pDst p)) t n pli plt es ci ->
pBody p = AppendEntries t n pli plt es ci ->
P net ->
refined_raft_intermediate_reachable net ->
nwPackets net = xs ++ p :: ys ->
(forall h, st' h = update name_eq_dec (nwState net) (pDst p) (gd, d) h) ->
(forall p', In p' ps' -> In p' (xs ++ ys) \/
p' = mkPacket (pDst p) (pSrc p) m) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_append_entries_reply (P : network -> Prop) :=
forall xs p ys net st' ps' gd d m t es res,
handleAppendEntriesReply (pDst p) (snd (nwState net (pDst p))) (pSrc p) t es res = (d, m) ->
gd = (fst (nwState net (pDst p))) ->
pBody p = AppendEntriesReply t es res ->
P net ->
refined_raft_intermediate_reachable net ->
nwPackets net = xs ++ p :: ys ->
(forall h, st' h = update name_eq_dec (nwState net) (pDst p) (gd, d) h) ->
(forall p', In p' ps' -> In p' (xs ++ ys) \/
In p' (send_packets (pDst p) m)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_request_vote (P : network -> Prop) :=
forall xs p ys net st' ps' gd d m t cid lli llt,
handleRequestVote (pDst p) (snd (nwState net (pDst p))) t (pSrc p) lli llt  = (d, m) ->
gd = update_elections_data_requestVote (pDst p) (pSrc p) t (pSrc p) lli llt (nwState net (pDst p)) ->
pBody p = RequestVote t cid lli llt ->
P net ->
refined_raft_intermediate_reachable net ->
nwPackets net = xs ++ p :: ys ->
(forall h, st' h = update name_eq_dec (nwState net) (pDst p) (gd, d) h) ->
(forall p', In p' ps' -> In p' (xs ++ ys) \/
p' = mkPacket (pDst p) (pSrc p) m) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_request_vote_reply (P : network -> Prop) :=
forall xs p ys net st' ps' gd d t v,
handleRequestVoteReply (pDst p) (snd (nwState net (pDst p))) (pSrc p) t v = d ->
gd = update_elections_data_requestVoteReply (pDst p) (pSrc p) t v (nwState net (pDst p)) ->
pBody p = RequestVoteReply t v ->
P net ->
refined_raft_intermediate_reachable net ->
nwPackets net = xs ++ p :: ys ->
(forall h, st' h = update name_eq_dec (nwState net) (pDst p) (gd, d) h) ->
(forall p', In p' ps' -> In p' (xs ++ ys)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_do_leader (P : network -> Prop) :=
forall net st' ps' gd d h os d' ms,
doLeader d h = (os, d', ms) ->
P net ->
refined_raft_intermediate_reachable net ->
nwState net h = (gd, d) ->
(forall h', st' h' = update name_eq_dec (nwState net) h (gd, d') h') ->
(forall p, In p ps' -> In p (nwPackets net) \/
In p (send_packets h ms)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_do_generic_server (P : network -> Prop) :=
forall net st' ps' gd d os d' ms h,
doGenericServer h d = (os, d', ms) ->
P net ->
refined_raft_intermediate_reachable net ->
nwState net h = (gd, d) ->
(forall h', st' h' = update name_eq_dec (nwState net) h (gd, d') h') ->
(forall p, In p ps' -> In p (nwPackets net) \/
In p (send_packets h ms)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_state_same_packet_subset (P : network -> Prop) :=
forall net net',
(forall h, nwState net h = nwState net' h) ->
(forall p, In p (nwPackets net') -> In p (nwPackets net)) ->
P net ->
refined_raft_intermediate_reachable net ->
P net'.
Definition refined_raft_net_invariant_reboot (P : network -> Prop) :=
forall net net' gd d h d',
reboot d = d' ->
P net ->
refined_raft_intermediate_reachable net ->
nwState net h = (gd, d) ->
(forall h', nwState net' h' = update name_eq_dec (nwState net) h (gd, d') h') ->
nwPackets net = nwPackets net' ->
P net'.
Definition refined_raft_net_invariant_init (P : network -> Prop) :=
P step_async_init.
Definition refined_raft_net_invariant_client_request' (P : network -> Prop) :=
forall h net st' ps' gd out d l client id c,
handleClientRequest h (snd (nwState net h)) client id c = (out, d, l) ->
gd = update_elections_data_client_request h (nwState net h) client id c ->
P net ->
refined_raft_intermediate_reachable net ->
refined_raft_intermediate_reachable (mkNetwork ps' st') ->
(forall h', st' h' = update name_eq_dec (nwState net) h (gd, d) h') ->
(forall p', In p' ps' -> In p' (nwPackets net) \/
In p' (send_packets h l)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_timeout' (P : network -> Prop) :=
forall net h st' ps' gd out d l,
handleTimeout h (snd (nwState net h)) = (out, d, l) ->
gd = update_elections_data_timeout h (nwState net h) ->
P net ->
refined_raft_intermediate_reachable net ->
refined_raft_intermediate_reachable (mkNetwork ps' st') ->
(forall h', st' h' = update name_eq_dec (nwState net) h (gd, d) h') ->
(forall p', In p' ps' -> In p' (nwPackets net) \/
In p' (send_packets h l)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_append_entries' (P : network -> Prop) :=
forall xs p ys net st' ps' gd d m t n pli plt es ci,
handleAppendEntries (pDst p) (snd (nwState net (pDst p))) t n pli plt es ci = (d, m) ->
gd = update_elections_data_appendEntries (pDst p) (nwState net (pDst p)) t n pli plt es ci ->
pBody p = AppendEntries t n pli plt es ci ->
P net ->
refined_raft_intermediate_reachable net ->
refined_raft_intermediate_reachable (mkNetwork ps' st') ->
nwPackets net = xs ++ p :: ys ->
(forall h, st' h = update name_eq_dec (nwState net) (pDst p) (gd, d) h) ->
(forall p', In p' ps' -> In p' (xs ++ ys) \/
p' = mkPacket (pDst p) (pSrc p) m) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_append_entries_reply' (P : network -> Prop) :=
forall xs p ys net st' ps' gd d m t es res,
handleAppendEntriesReply (pDst p) (snd (nwState net (pDst p))) (pSrc p) t es res = (d, m) ->
gd = (fst (nwState net (pDst p))) ->
pBody p = AppendEntriesReply t es res ->
P net ->
refined_raft_intermediate_reachable net ->
refined_raft_intermediate_reachable (mkNetwork ps' st') ->
nwPackets net = xs ++ p :: ys ->
(forall h, st' h = update name_eq_dec (nwState net) (pDst p) (gd, d) h) ->
(forall p', In p' ps' -> In p' (xs ++ ys) \/
In p' (send_packets (pDst p) m)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_request_vote' (P : network -> Prop) :=
forall xs p ys net st' ps' gd d m t cid lli llt,
handleRequestVote (pDst p) (snd (nwState net (pDst p))) t (pSrc p) lli llt  = (d, m) ->
gd = update_elections_data_requestVote (pDst p) (pSrc p) t (pSrc p) lli llt (nwState net (pDst p)) ->
pBody p = RequestVote t cid lli llt ->
P net ->
refined_raft_intermediate_reachable net ->
refined_raft_intermediate_reachable (mkNetwork ps' st') ->
nwPackets net = xs ++ p :: ys ->
(forall h, st' h = update name_eq_dec (nwState net) (pDst p) (gd, d) h) ->
(forall p', In p' ps' -> In p' (xs ++ ys) \/
p' = mkPacket (pDst p) (pSrc p) m) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_request_vote_reply' (P : network -> Prop) :=
forall xs p ys net st' ps' gd d t v,
handleRequestVoteReply (pDst p) (snd (nwState net (pDst p))) (pSrc p) t v = d ->
gd = update_elections_data_requestVoteReply (pDst p) (pSrc p) t v (nwState net (pDst p)) ->
pBody p = RequestVoteReply t v ->
P net ->
refined_raft_intermediate_reachable net ->
refined_raft_intermediate_reachable (mkNetwork ps' st') ->
nwPackets net = xs ++ p :: ys ->
(forall h, st' h = update name_eq_dec (nwState net) (pDst p) (gd, d) h) ->
(forall p', In p' ps' -> In p' (xs ++ ys)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_do_leader' (P : network -> Prop) :=
forall net st' ps' gd d h os d' ms,
doLeader d h = (os, d', ms) ->
P net ->
refined_raft_intermediate_reachable net ->
refined_raft_intermediate_reachable (mkNetwork ps' st') ->
nwState net h = (gd, d) ->
(forall h', st' h' = update name_eq_dec (nwState net) h (gd, d') h') ->
(forall p, In p ps' -> In p (nwPackets net) \/
In p (send_packets h ms)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_do_generic_server' (P : network -> Prop) :=
forall net st' ps' gd d os d' ms h,
doGenericServer h d = (os, d', ms) ->
P net ->
refined_raft_intermediate_reachable net ->
refined_raft_intermediate_reachable (mkNetwork ps' st') ->
nwState net h = (gd, d) ->
(forall h', st' h' = update name_eq_dec (nwState net) h (gd, d') h') ->
(forall p, In p ps' -> In p (nwPackets net) \/
In p (send_packets h ms)) ->
P (mkNetwork ps' st').
Definition refined_raft_net_invariant_reboot' (P : network -> Prop) :=
forall net net' gd d h d',
reboot d = d' ->
P net ->
refined_raft_intermediate_reachable net ->
refined_raft_intermediate_reachable net' ->
nwState net h = (gd, d) ->
(forall h', nwState net' h' = update name_eq_dec (nwState net) h (gd, d') h') ->
nwPackets net = nwPackets net' ->
P net'.
Proof using.
unfold refined_raft_net_invariant_client_request, refined_raft_net_invariant_client_request'.
intuition eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_timeout, refined_raft_net_invariant_timeout'.
intuition eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_append_entries, refined_raft_net_invariant_append_entries'.
intuition eauto.
Qed.
Proof using.
unfold refined_raft_net_invariant_append_entries_reply, refined_raft_net_invariant_append_entries_reply'.
intuition eauto.
Qed.

Lemma refined_raft_net_invariant_request_vote'_weak :
forall net,
refined_raft_net_invariant_request_vote net ->
refined_raft_net_invariant_request_vote' net.