Different kinds of continuations in Racket

Question

Can someone give a relatively simple example of the differences in Racket between call-with-composable-continuation and call-with-current-continuation.

I've worked through the examples in the Racket Guide 10.3 of call-with-composable-continuation, and the examples of call-with-current-continuation in The Scheme Programming language section 3.3 but I'm not clear on the difference.

Could someone give an example where they would give different results in the same context.

Answer 1

A very thorough explanation is found in the paper "Adding Delimited and Composable Control to a Production Programming Environment" by Flatt, Yu, Findler and Felleisen.

http://www.cs.utah.edu/plt/publications/icfp07-fyff.pdf