Lambda the Ultimate

A Monadic Framework for Delimited Continuations (PDF), R. Kent Dybvig, Simon Peyton Jones, Amr Sabry. TR, June 2005.

Delimited continuations are more expressive than traditional abortive continuations and they apparently seem to require a framework beyond traditional continuation-passing style (CPS). We show that this is not the case: standard CPS is sufficient to explain the common control operators for delimited continuations. We demonstrate this fact and present an implementation as a Scheme library. We then investigate a typed account of delimited continuations that makes explicit where control effects can occur. This results in a monadic framework for typed and encapsulated delimited continuations which we design and implement as a Haskell library.

A fascinating paper about delimited control. I'm very much a newbie to delimited control, but this paper has been enormously helpful - despite the title. ;)

The basic idea of the paper is to represent the execution context as a sequence containing prompts (control delimiters) and the (partial) continuations between prompts. This model is formalized with an operational semantics, which was insightful even though it's the first operational semantics I've studied.

The authors then present an implementation of the model in terms of call/cc in Scheme. The basic idea here is to always perform user code after aborting to a context near the bottom of the stack, just above a call to an underflow function - this means that even though we use undelimited call/cc, we only ever capture our (small, partial) execution context. The whole execution context (the "metacontinuation") is maintained as a sequence data structure in a global variable (basically, a list containing prompts and Scheme continuations). The underflow function destructures the metacontinuation, and executes (returns to) the partial continuations stored in it. Pushing a prompt adds a delimiter to the metacontinuation, capturing a delimited continuation splits the metacontinuation at a delimiter, and composing a continuation appends to the metacontinuation.

I haven't even gotten to the later parts of the paper yet, but this model and the Scheme implementation alone is worth a look.

(The paper seems to be a reworked version of A Monadic Framework for Subcontinuations, discussed previously.)