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A modal analysis of staged computation

Davies, Rowan, Pfenning, Frank·2001·Journal of the ACM

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 λ-calculi and functional languages. We directly demonstrate the sense in which our λ e →□ -calculus captures staging, and also give a conservative embeddng of Nielson and Nielson's two-level functional language in our functional language Mini-ML □ , thus proving that binding-time correctness is equivalent to modal correctness on this fragment. In addition, Mini-ML □ can also express immediate evaluation and sharing of code across multiple stages, thus supporting run-time code generation as well as partial evaluation.

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Metadata

Authors
Davies, R., & Pfenning, F.
Venue
Journal of the ACM
Published
2001-05
Volume
48
Issue
3
Pages
555-604
ISSN
  • 0004-5411 (ISSN-L)
  • 1557-735X
OpenAlex
W2029408547
Cited by
293
References
1
FWCI
13.52
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A modal analysis of staged computation. https://app.cochat.ai/papers/10.1145/382780.382785
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Davies, R., & Pfenning, F. (2001). A modal analysis of staged computation. Journal of the ACM. https://doi.org/10.1145/382780.382785

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