ICFP’10 Proceedings of the 2010 ACM SIGPLAN International by Stephanie Weirich ICFP’10 Program Chair

By Stephanie Weirich ICFP’10 Program Chair

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Extra info for ICFP’10 Proceedings of the 2010 ACM SIGPLAN International Conference on Functional Programming

Example text

Second, it avoids hard inhabitation questions that may involve theorem proving or search. Similarly to expGame, expGameCheck first determines whether the expression can be a variable or not and uses the variable game or the appLamG next. The appLamG game in turn pattern matches on the input type. If the input type is TyNat the we know that the expression can’t possibly be a λ-abstraction and hence play the appG game. On the other hand, if the input type is an arrow type TyArr t1 t2 then the expression may be either application or abstraction.

The main function compensating the effect of the update from int to num is given below. At each step, this function match fib callers proceeds by finding what is the state of the activation at the top of the current continuation (k) using match cont. The second parameter (r) is the result value that would have been used to return to the top stack frame. We can safely mix new and old versions and rebind dynamically the name fib as the type of the function is not changed. However, in this case, the effective behavior still has polynomial time complexity.

Prompts) to types. L maps call site labels to label types, which are triplets {τpar , τres , V } where τpar and τres are types; and V is an environment that maps variables to types. The inference algorithm computes τe and L. The L environment is intended for splitting continuations at activation boundaries. Figure 4 gives an intuition of its interpretation, κ based on the semantics of the mc operator. A τ1 − → τn continuation 5 We use type variables for convenience to solve the type inference problem.

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