child -> consumer; parent -> provider

spec/app/ics-028-cross-chain-validation/overview_and_basic_concepts.md

@@ -95,7 +95,7 @@ The channel initialization consists of four phases:
   >  
   > Note that at genesis, the validator set of the consumer chain matches the validator set of the provider chain.
 - **Connection handshake**: A relayer is responsible for initiating the connection handshake (as defined in [ICS 3](../../core/ics-003-connection-semantics)). 
-- **Channel handshake**: A relayer is responsible for initiating the channel handshake (as defined in [ICS 4](../../core/ics-004-channel-and-packet-semantics)). The channel handshake must be initiated on the child chain. The handshake consists of four messages that need to be received for a channel built on top of the expected clients. We omit the `ChanOpenAck` message since it is not relevant for the overview. 
+- **Channel handshake**: A relayer is responsible for initiating the channel handshake (as defined in [ICS 4](../../core/ics-004-channel-and-packet-semantics)). The channel handshake must be initiated on the consumer chain. The handshake consists of four messages that need to be received for a channel built on top of the expected clients. We omit the `ChanOpenAck` message since it is not relevant for the overview. 
   - *OnChanOpenInit*: On receiving the *FIRST* `ChanOpenInit` message, the consumer CCV module sets the status of its end of the CCV channel to `INITIALIZING`.
   - *OnChanOpenTry*: On receiving the *FIRST* `ChanOpenTry` message, the provider CCV module sets the status of its end of the CCV channel to `INITIALIZING`.
   - *OnChanOpenConfirm*: On receiving the *FIRST* `ChanOpenConfirm` message, the provider CCV module sets the status of its end of the CCV channel to `VALIDATING`.

spec/app/ics-028-cross-chain-validation/technical_specification.md

@@ -467,7 +467,7 @@ function InitGenesis(state: ConsumerGenesisState) {
   abortSystemUnless(err == nil)
 
   // create client of the provider chain
-  clientId = clientKeeper.CreateClient(state.parentClientState, state.parentConsensusState)
+  clientId = clientKeeper.CreateClient(state.providerClientState, state.providerConsensusState)
 
   // store the ID of the client of the provider chain
   providerClient = clientId
@@ -660,7 +660,8 @@ function onChanCloseConfirm(
 function onChanCloseInit(
   portIdentifier: Identifier,
   channelIdentifier: Identifier) {
-    // allow relayers to close duplicate OPEN channels, if the parent channel has already been established
+    // allow relayers to close duplicate OPEN channels, 
+    // if the provider channel has already been established
     if providerChannel == "" || providerChannel == channelIdentifier {
       // user cannot close channel
       abortTransactionUnless(FALSE)