Abstract

We show that a type system based on the intuitionistic modal logic S4 provides an expressive framework for specifying and analyzing computation stages in the context of typed lambda-calculi and functional languages. We directly demonstrate the sense in which our calculus captures staging, and also give a conservative embedding of Nielson & Nielson's two-level functional language in our language, thus proving that binding-time correctness is equivalent to modal correctness. In addition, our language can express immediate evaluation and sharing of code across multiple stages, thus supporting run-time code generation as well as partial evaluation. This is an extended and revised version of the conference paper [DP96]. This work was sponsored in part by the National Science Foundation under grant CCR-9619832 and by the Advanced Research Projects Agency (ARPA) CSTO, under the title "The Fox Project: Advanced Development of Systems Software", ARPA Order No. 8313, issued by ESD/AVS under Cont...

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