decide equality.
apply entry_eq_dec.
Qed.
Definition write_ghost_log (h : name) (st : @data raft_refined_base_params) : ghost_log := log (snd st).
Instance ghost_log_params : MsgGhostMultiParams raft_refined_multi_params :=
{| ghost_msg := ghost_log ;
ghost_msg_eq_dec := ghost_log_eq_dec ;
ghost_msg_default := [] ;
write_ghost_msg := write_ghost_log
|}.
Definition raft_msg_refined_base_params := mgv_refined_base_params.
Definition raft_msg_refined_multi_params := mgv_refined_multi_params.
Definition raft_msg_refined_failure_params := mgv_refined_failure_params.
Hint Extern 3 (@BaseParams) => apply raft_msg_refined_base_params : typeclass_instances.
Hint Extern 3 (@MultiParams _) => apply raft_msg_refined_multi_params : typeclass_instances.
Hint Extern 3 (@FailureParams _ _) => apply raft_msg_refined_failure_params : typeclass_instances.
Inductive msg_refined_raft_intermediate_reachable : network -> Prop :=
| MRRIR_init : msg_refined_raft_intermediate_reachable step_async_init
| MRRIR_step_failure :
forall failed net failed' net' out,
msg_refined_raft_intermediate_reachable net ->
step_failure (failed, net) (failed', net') out ->
msg_refined_raft_intermediate_reachable net'
| MRRIR_handleInput :
forall net h inp gd out d l ps' st',
msg_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 (add_ghost_msg h (gd, d) l))) ->
msg_refined_raft_intermediate_reachable (mkNetwork ps' st')
| MRRIR_handleMessage :
forall p net xs ys st' ps' gd d l,
msg_refined_raft_intermediate_reachable net ->
handleMessage (pSrc p) (pDst p) (snd (pBody p)) (snd (nwState net (pDst p))) = (d, l) ->
update_elections_data_net (pDst p) (pSrc p) (snd (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) (@add_ghost_msg _ _ ghost_log_params (pDst p) (gd, d) l))) ->
msg_refined_raft_intermediate_reachable (mkNetwork ps' st')
| MRRIR_doLeader :
forall net st' ps' h os gd d d' ms,
msg_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 (add_ghost_msg h (gd, d') ms))) ->
msg_refined_raft_intermediate_reachable (mkNetwork ps' st')
| MRRIR_doGenericServer :
forall net st' ps' os gd d d' ms h,
msg_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 (add_ghost_msg h (gd, d') ms))) ->
msg_refined_raft_intermediate_reachable (mkNetwork ps' st').
Definition msg_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 ->
msg_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 (add_ghost_msg h (gd, d) l))) ->
P (mkNetwork ps' st').
Definition msg_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 ->
msg_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 (add_ghost_msg h (gd, d) l))) ->
P (mkNetwork ps' st').
Definition msg_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 ->
snd (pBody p) = AppendEntries t n pli plt es ci ->
P net ->
msg_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) (write_ghost_log (pDst p) (gd, d), m)) ->
P (mkNetwork ps' st').
Definition msg_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))) ->
snd (pBody p) = AppendEntriesReply t es res ->
P net ->
msg_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) (@add_ghost_msg _ _ ghost_log_params (pDst p) (gd, d) m))) ->
P (mkNetwork ps' st').
Definition msg_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)) ->
snd (pBody p) = RequestVote t cid lli llt ->
P net ->
msg_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) (write_ghost_log (pDst p) (gd, d), m)) ->
P (mkNetwork ps' st').
Definition msg_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)) ->
snd (pBody p) = RequestVoteReply t v ->
P net ->
msg_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 msg_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 ->
msg_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 (add_ghost_msg h (gd, d') ms))) ->
P (mkNetwork ps' st').
Definition msg_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 ->
msg_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 (add_ghost_msg h (gd, d') ms))) ->
P (mkNetwork ps' st').
Definition msg_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 ->
msg_refined_raft_intermediate_reachable net ->
P net'.
Definition msg_refined_raft_net_invariant_reboot (P : network -> Prop) :=
forall net net' gd d h d',
reboot d = d' ->
P net ->
msg_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 msg_refined_raft_net_invariant_init (P : network -> Prop) :=
P step_async_init.
Definition msg_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 ->
msg_refined_raft_intermediate_reachable net ->
msg_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 (add_ghost_msg h (gd, d) l))) ->
P (mkNetwork ps' st').
Definition msg_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 ->
msg_refined_raft_intermediate_reachable net ->
msg_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 (add_ghost_msg h (gd, d) l))) ->
P (mkNetwork ps' st').
Definition msg_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 ->
snd (pBody p) = AppendEntries t n pli plt es ci ->
P net ->
msg_refined_raft_intermediate_reachable net ->
msg_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) (write_ghost_log (pDst p) (gd, d), m)) ->
P (mkNetwork ps' st').
Definition msg_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))) ->
snd (pBody p) = AppendEntriesReply t es res ->
P net ->
msg_refined_raft_intermediate_reachable net ->
msg_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) (@add_ghost_msg _ _ ghost_log_params (pDst p) (gd, d) m))) ->
P (mkNetwork ps' st').
Definition msg_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)) ->
snd (pBody p) = RequestVote t cid lli llt ->
P net ->
msg_refined_raft_intermediate_reachable net ->
msg_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) (write_ghost_log (pDst p) (gd, d), m)) ->
P (mkNetwork ps' st').
Definition msg_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)) ->
snd (pBody p) = RequestVoteReply t v ->
P net ->
msg_refined_raft_intermediate_reachable net ->
msg_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 msg_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 ->
msg_refined_raft_intermediate_reachable net ->
msg_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 (add_ghost_msg h (gd, d') ms))) ->
P (mkNetwork ps' st').
Definition msg_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 ->
msg_refined_raft_intermediate_reachable net ->
msg_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 (add_ghost_msg h (gd, d') ms))) ->
P (mkNetwork ps' st').
Definition msg_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 ->
msg_refined_raft_intermediate_reachable net ->
P net'.
Definition msg_refined_raft_net_invariant_reboot' (P : network -> Prop) :=
forall net net' gd d h d',
reboot d = d' ->
P net ->
msg_refined_raft_intermediate_reachable net ->
msg_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'.

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