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Programmers can use gradual types to migrate programs to have more precise type annotations and thereby improve their readability, efficiency, and safety. Such migration requires an exploration of the migration space and can benefit from tool support, as shown in previous work. Our goal is to provide a foundation for better tool support by settling decidability questions about migration with gradual types. We present three algorithms and a hardness result for deciding key properties and we explain how they can be useful during an exploration. In particular, we show how to decide whether the migration space is finite, whether it has a top element, and whether it is a singleton. We also show that deciding whether it has a maximal element is NP-hard. Our implementation of our algorithms worked as expected on a suite of microbenchmarks.

What is Decidable about Gradual Types? (proceedings-version-with-badges.pdf)483KiB
(POPL_slides (1).pdf)269KiB

Wed 22 Jan
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14:00 - 15:05: Gradual Typing / Language DesignResearch Papers at Ile de France III (IDF III)
Chair(s): Jeremy G. SiekIndiana University, USA
14:00 - 14:21
Talk
Research Papers
Zeina MigeedUniversity of California, Los Angeles, Jens PalsbergUniversity of California, Los Angeles
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14:21 - 14:43
Talk
Research Papers
Max NewNortheastern University, Dustin JamnerNortheastern University, USA, Amal AhmedNortheastern University, USA
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14:43 - 15:05
Talk
Research Papers
Lukas LazarekNorthwestern University, Alexis KingNorthwestern University, Samanvitha SundarNorthwestern University, Robby FindlerNorthwestern University, USA, Christos DimoulasPLT @ Northwestern University
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