SOA and EDA, Do they complement?

There have been plenty of debate on "SOA vs EDA". Vendors give their flavour of the difference which suits their product:)...Everyone with the intention of cashing on these industry jargons somehow...

Of course both of them are architectural styles and can live with/without the other... But what needs to be understood is the underlying concept of these styles.

In SOA, the core building blocks are services.. some provide services for others to consume..
Where as EDA the core building blocks are events/business events (internal/external) and how the business treats it...

So, if you have services that receive and treat business events... what do you have.. a SOA or an EDA or both??