WIP spec updated

Author: crocodile-dentist

docs/network-spec/connection-manager.tex

@@ -2057,6 +2057,8 @@ \section{Inbound Protocol Governor}
       \draw[->] (RemoteIdle)       to [out=55,in=305]                                 (InitialState);
       \draw[->] (RemoteIdle)       to [out=70,in=290]  node[fill=white,left=-40pt,pos=0.3]
                                                            {\CommitRemote}            (RemoteCold);
+      \draw[->] (RemoteIdle)       to [out=60,in=270]  node[fill=white,right=-25pt,pos=0.4]
+                                                           {\PromotedToHotRemote}     (RemoteHot.10);
 
       \draw[->] (RemoteCold.340)   to [out=300,in=60]                                 (RemoteWarm.30);
       \draw[->] (RemoteIdle.320)   to [out=330,in=60]  node[fill=white,left=-45pt]
@@ -2100,15 +2102,12 @@ \subsubsection{\RemoteIdle}
 connection is used (\warm{} or \hot{}) or not (\cold{}) by the outbound side.
 
 \subsubsection{\RemoteWarm}
-A connection enters \RemoteWarm{} state once any of the mini-protocols starts
-to operate.  Once all hot mini-protocols start, the state will transition to
-\RemoteHot{}.  Note that this is slightly different than the notion of a \warm{}
-peer, for which all \established{} and \warm{} mini-protocols are active, but
-\hot{} ones are idle.
+A connection enters \RemoteWarm{} state once any of the warm mini-protocols start
+to operate, but all hot ones remain idle.
 
 \subsubsection{\RemoteHot}
-A connection enters \RemoteHot{} transition once all hot protocols started, if
-any of them terminates the connection will be put in \RemoteWarm{}.
+A connection enters \RemoteHot{} transition once any hot protocols have started.
+Once all of them have terminated, the connection will be put in \RemoteWarm{}.
 
 \subsection{Transitions}
 
@@ -2173,4 +2172,3 @@ \subsubsection{\DemotedToWarmRemote}
 Dually to \PromotedToHotRemote{} state transition, as soon as any of the \hot{}
 mini-protocols terminates, the connection will transition to \RemoteWarm{}
 state.
-