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Content Provider | ACM Digital Library |
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Author | Nogueira, Pablo García-Pérez, Álvaro Sergey, Ilya |
Abstract | Siek and Garcia (2012) have explored the dynamic semantics of the gradually-typed lambda calculus by means of definitional interpreters and abstract machines. The correspondence between the calculus's mathematically described small-step reduction semantics and the implemented big-step definitional interpreters was left as a conjecture. We prove and generalise Siek and Garcia's conjectures using program transformation. We establish the correspondence between the definitional interpreters and the reduction semantics of a closure-converted gradually-typed lambda calculus that unifies and amends various versions of the calculus. We use a layered approach and two-level continuation-passing style so that the correspondence is parametric on the subsidiary coercion calculus. We have implemented the whole derivation for the eager error-detection policy and the downcast blame-tracking strategy. The correspondence can be established for other choices of error-detection policies and blame-tracking strategies, by plugging in the appropriate artefacts for the particular subsidiary coercion calculus. |
Starting Page | 157 |
Ending Page | 168 |
Page Count | 12 |
File Format | |
ISBN | 9781450326193 |
DOI | 10.1145/2543728.2543742 |
Language | English |
Publisher | Association for Computing Machinery (ACM) |
Publisher Date | 2014-01-11 |
Publisher Place | New York |
Access Restriction | Subscribed |
Subject Keyword | Gradual types Program transformation 2-level continuation-passing style Closures Layered semantics |
Content Type | Text |
Resource Type | Article |
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