How do you design a functional program? [closed]

Read the SICP.

Also, there is a PDF Version available.

You might want to check out a recent blog entry of mine: How does functional programming affect the structure of your code?

At a high level, an OO design methodology is still quite useful for structuring an F# program, but you'll find this breaking down (more exceptions to the rule) as you get down to lower levels. At a physical level, "one class per file" will not work in all cases, as mutually recursive types need to be defined in the same file (type Class1 = ... and Class2 = ...), and a bit of your code may reside in "free" functions not bound to a particular class (this is what F# "module"s are good for). The file-ordering constraints in F# will also force you to think critically about the dependencies among types in your program; this is a double-edged sword, as it may take more work/thought to untangle high-level dependencies, but will yield programs that are organized in a way that always makes them approachable (as the most primitive entities always come first and you can always read a program from 'top to bottom' and have new things introduced one-by-one, rather than just start looking a directory full of files of code and not know 'where to start').

How to Design Programs is all about this (at tiresome length, using Scheme instead of F#, but the principles carry over). Briefly, your code mirrors your datatypes; this idea goes back to old-fashioned "structured programming", only functional programming is more explicit about it, and with fancier datatypes.