To describe RESTful we can say that every resource has its own URI. Using HTTP GET, POST, PUT and DELETE, we can operate on these resources. All resources are representational. Whoever wants to use our resources can do so via a browser or REST client.
That's the main idea of a RESTful architecture. This architecture allows services on the internet. So why does this architecture need WADL? What does WADL offer that standard HTTP does not? Why does WADL need to exist?
WADL appeals to people coming from the SOAP world where it is common to use a code generator to create client side code based on the WSDL. I don't think that mechanism is useful in REST as it creates client code that is coupled to server endpoints.
I believe that if you properly define your media-types and use hypermedia within those media-types, then it is not necessary to have WADL. The description of the available end-points is contained within the media-type definitions themselves. And if you are now saying to yourself, but application/xml doesn't contain any information about available hyperlinks, then I say BINGO. That's why I don't think application/xml and application/json are appropriate media-types for REST. I'm not saying don't use XML or JSON, just don't use the generic media type name.
The other appeal of WADL is for the purpose of documenting REST services. Unfortunately, it leads developers down the wrong path as WADL attempts to document server-side end points. Documenting a REST services should focus primarily on the media-types. A client developer should be able to write a REST client without knowing any url other than the root url.
REST specifies nothing about WADL.
WADL allows you to generate code, tests and documentation. Actually there are few very useful tools utilizing WADL, you can see some examples here. The problem with the "pure" REST, as described in Fielding's dissertation, is writing clients supporting Hypermedia (imagine writing Java Swing-based client application for example). With WADL this task is completely automated, and it's a huge advantage in my view. Testing becomes a way easier too.
When you want to expose the REST services ,the best way is to generate WADL and share with consumer(similar to WSDL in SOAP based web services).WADL is used to describe service all in on place.
Using WADL implies that you just might be gracious enough to actually define the data / documents you are passing back and forth. Say you are passing some XML fragments, they might actually be part of a defined schema.
Whether or not you use the DL to generate code is not very important to me. What matters, in my subjective opinion, is that it is important to have a formal agreement on interfaces between business partners. Even if what is passed is obvious, it helps to identify who has to fix what later if somebody changes the previous interface.
Data format is just as much a part of an interface as verb names.
Before I give my explanation, let me say that most pure REST extremists will deride it to the ends of the earth. I don't agree with them, as i'd rather get something done, but just so you know.
WADL is a description of a web service API, a little like WSDL is for SOAP type web services, that is designed to be more in tune with RESTful interfaces (something WSDL is poor at).
It's primary usage in my experience is to allow you to generate client code that can call the service (handy if it's a very large API, which literally saves hours of work). It also serves the purpose of documenting a REST-like interface.