Thu 16 Jun 2022 13:50 - 14:10 at Macaw - Types Chair(s): Michael Greenberg

This is a study of the computing power of the subtyping machine behind Kennedy and Pierce’s nominal subtyping with variance. We depict the lattice of fragments of Kennedy and Pierce’s type system and characterize their computing power in terms of regular, context-free, deterministic, and non-deterministic tree languages. Based on the theory, we present Treetop—a generator of C# implementations of subtyping machines. The software artifact constitutes the first feasible (yet POC) fluent API generator to support context-free API protocols in a decidable type system fragment.
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Ori Roth is a PhD student at the Technion—Israel Institute of Technology. His research interests include programming languages, software engineering, and automata theory.

Thu 16 Jun

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