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2010
ACM

Threesomes, With and Without Blame

9 years 8 months ago
Threesomes, With and Without Blame
Abstract. The blame calculus of Wadler and Findler gives a high-level semantics to casts in higher-order languages. The coercion calculus of Henglein, on the other hand, provides an instruction set for casts whose normal forms ensure space efficiency. In this paper we address two questions: 1) can space efficiency be obtained in a high-level semantics? and 2) can we precisely characterize the relationship between the high and low-level semantics of casts? Towards answering both of these questions, we design a cast calculus that summarizes a sequence of casts as a threesome cast that contains a source type, a target type, and a third middle type that is the greatest lower bound of all the types in the sequence. We show that the threesome calculus is equivalent to the blame calculus and to one of the coercion-based, blame-tracking calculi of Siek, Garcia, and Taha. We also show that the threesome calculus is space efficient and obtain a tighter bound than that of Herman, Tomb, and Flanag...
Jeremy G. Siek, Philip Wadler
Added 01 Mar 2010
Updated 02 Mar 2010
Type Conference
Year 2010
Where POPL
Authors Jeremy G. Siek, Philip Wadler
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