The authors describe here a framework in which the type notation of
functional languages is extended to include a notation for binding
times (that is run-time and compile-time) that distinguishes
between them. Consequently, the ability to specify code and verify
program correctness can be improved. Two developments are needed,
the first of which introduces the binding time distinction into the
lambda calculus in a manner analogous with the introduction of
types into the untyped lambda calculus. Methods are also presented
for introducing combinators for run-time. The second concerns the
interpretation of the resulting language, which is known as the
mixed lambda-calculus and combinatory logic. The notion of
"parametrized semantics" is used to describe code generation and
abstract interpretation. The code generation is for a simple
abstract machine designed for the purpose, it is close to the
categorical abstract machine. The abstract interpretation focuses
on a strictness analysis that generalizes Wadler's analysis for
lists. It is also shown how the results of abstract interpretation
may be used to improve the code generation.
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