I've been thinking about using formal methods to help clarify the requirements for the tool for both my client and the developers.
Very few developers have formal methods experience. The only time I've seen clients with formal methods training were members of the ZUG when we were porting CADiZ to Windows.
By formal methods I mean some form of modeling, possibly something mathematically-based. Some of the things I've read about and are considering include Z (http://en.wikipedia.org/wiki/Z_notation), state machines, UML 2.0 (possibly with extensions such as OCL), Petri nets, and some coding-level stuff like contracts and pre and post conditions. Is there anything else I should consider?
There's a very large gap between Z, which is a formal method, taking its basis in set theory, and UML, which is a informal notation with some semi-formal notations (state machines) tagged on.
Some technical clients, such as you'd expect to find using a software requirements tool, are quite comfortable with UML.
There may be value creating a Z model of your domain, and there may be value in creating a pi-calculus model of your messaging between client and server (or petri-net, but I find pi is both simpler and more powerful).
What a Z model of your domain would give is an implementation independent set of type constraints, expressed more powerfully than the type system of any common implementation language.
What a formal model of your messaging would give you is the facility to run analyses to ensure you don't lose updates or get conflicts or deadlocks.
What a UML model gives you is a notation for breaking a large system up into function areas (package diagrams), of showing how classes in those areas relate to each other statically (class diagrams), of showing how instances of those classes relate dynamically (sequence, activity and interaction diagrams), and showing how the packages are deployed (component and deployment diagrams). These are useful for communication in the team, and to get ideas fleshed out a bit, but don't have formally defined semantics which allows very sophisticated analysis.
The Z specialists I worked with in the '90s considered the idea of specifying a CASE GUI in Z ridiculous. Creating a UML model for such a GUI is commonplace.
I haven't used formal design-by-contract pre and post conditions, though I do sometimes add them in comments, and frequently in assertions, and I unit test conditions which might violate them.