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papers/hatra23/bibliography.bib
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papers/hatra23/bibliography.bib
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@InProceedings{BFJ21:GoalsLuau,
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author = {L. Brown and A. Friesen and A. S. A. Jeffrey},
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title = {Goals of the Luau Type System},
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booktitle = {Proc. Human Aspects of Types and Reasoning Assistants},
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year = {2021},
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url = {https://asaj.org/papers/hatra21.pdf},
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}
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@Misc{Roblox,
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author = {Roblox},
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title = {Reimagining the way people come together},
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year = 2023,
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url = {https://corp.roblox.com},
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}
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@Misc{Luau,
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author = {Roblox},
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title = {The {Luau} Programming Language},
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year = 2023,
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url = {https://luau-lang.org},
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}
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@Misc{Lua,
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author = {Lua.org and {PUC}-Rio},
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title = {The {Lua} Programming Language},
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year = 2023,
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url = {https://lua.org},
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}
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@Misc{Jef22:SemanticSubtyping,
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author = {A. S. A. Jeffrey},
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title = {Semantic Subtyping in Luau},
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howpublished = {Roblox Technical Blog},
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year = {2022},
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url = {https://blog.roblox.com/2022/11/semantic-subtyping-luau/},
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}
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@InProceedings{GF05:GentleIntroduction,
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author = {G. Castagna and A. Frisch},
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title = {A Gentle Introduction to Semantic Subtyping},
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booktitle = {Proc. Principles and Practice of Declarative Programming},
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year = {2005},
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}
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@InProceedings{ST07:GradualTyping,
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author = {J. G. Siek and W. Taha},
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title = {Gradual Typing for Objects},
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booktitle = {Proc. European Conf Object-Oriented Programming},
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year = {2007},
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pages = {2-27},
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}
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@Misc{BJ23:agda-typeck,
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author = {L. Brown and A. S. A. Jeffrey},
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title = {Luau Prototype Typechecker},
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year = {2023},
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OPTnote = {},
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url = {https://github.com/luau-lang/agda-typeck}
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}
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@article{PT00:LocalTypeInference,
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author = {Pierce, B. C. and Turner, D. N.},
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title = {Local Type Inference},
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year = {2000},
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volume = {22},
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number = {1},
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journal = {ACM Trans. Program. Lang. Syst.},
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pages = {1–44},
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}
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papers/hatra23/hatra23.tex
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papers/hatra23/hatra23.tex
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\documentclass[acmsmall]{acmart}
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\setcopyright{rightsretained}
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\copyrightyear{2023}
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\acmYear{2023}
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\acmConference[HATRA '23]{Human Aspects of Types and Reasoning Assistants}{October 2023}{Portugal, Spain}
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\acmBooktitle{HATRA '23: Human Aspects of Types and Reasoning Assistants}
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\acmDOI{}
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\acmISBN{}
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\expandafter\def\csname @copyrightpermission\endcsname{\raisebox{-1ex}{\includegraphics[height=3.5ex]{cc-by}} This work is licensed under a Creative Commons Attribution 4.0 International License.}
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\expandafter\def\csname @copyrightowner\endcsname{Roblox.}
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\newcommand{\ANY}{\mathtt{any}}
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\newcommand{\ERROR}{\mathtt{error}}
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\begin{document}
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\title{Goals of the Luau Type System, Two Years On}
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\author{Lily Brown}
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\author{Andy Friesen}
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\author{Alan Jeffrey}
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\affiliation{
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\institution{Roblox}
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\city{San Mateo}
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\state{CA}
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\country{USA}
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}
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\begin{abstract}
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In HATRA 2021, we presented \emph{The Goals Of The Luau Type System},
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describing the human factors of a type system for a
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language with a heterogeneous developer community. In this extended
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abstract we provide a progress report, focusing on
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the unexpected aspects: semantic subtyping and type error
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suppression.
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\end{abstract}
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\maketitle
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\section{Recap}
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Luau~\cite{Luau} is the scripting language used by the
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Roblox~\cite{Roblox} platform for shared immersive experiences. Luau extends
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the Lua~\cite{Lua} language, notably by providing type-driven tooling
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such as autocomplete and API documentation (as well as traditional type
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error reporting). Roblox has hundreds of millions of users, and
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millions of creators, ranging from children learning to program for
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the first time to professional development studios.
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In HATRA 2021, we presented \emph{The Goals Of The Luau Type
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System}~\cite{BFJ21:GoalsLuau}, describing the human factors issues
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with designing a type system for a language with a heterogeneous
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developer community. The design flows from the needs of the different
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communities: beginners are focused on immediate goals (``the stairs
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should light up when a player walks on them'') and less on the code
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quality concerns of more experienced developers; for all users
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type-driven tooling is important for productivity. These needs result in a design with two modes:
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\begin{itemize}
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\item \emph{non-strict mode}, aimed at non-professionals, focused on
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minimizing false positives, and
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\item \emph{strict mode}, aimed at professionals, focused on
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minimizing false negatives (i.e.~type soundness).
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\end{itemize}
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%% For both communities, type-driven tooling is important, so we
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%% provide \emph{infallible type inference}, which infers types
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%% even for ill-typed or syntactically invalid programs.
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\section{Progress}
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In the two years since the position paper, we have been making changes
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to the Luau type system to achieve the goals we set out. Most of the
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changes were straightforward, but two were large changes in how we
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thought about the design of the type system: replacing the existing
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syntactic subtyping algorithm by \emph{semantic subtyping}, and
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treating gradual typing as \emph{type error suppression}.
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Semantic subtyping
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interprets types as sets of values, and subtyping as set
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inclusion~\cite{GF05:GentleIntroduction}. This is aligned with the
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\emph{minimize false positives} goal of Luau non-strict mode, since
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semantic subtyping only reports a failure of subtyping when there is a
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value which inhabits the candidate subtype, but not the candidate
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supertype. This has the added benefit of improving error reporting in
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the prototype implementation: since the prototype is constructive, the
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witness for the failure of subtyping can help drive error reports.
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See our technical blog for more details~\cite{Jef22:SemanticSubtyping}.
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Rather than the gradual typing approach
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of~\cite{ST07:GradualTyping}, which uses \emph{consistent
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subtyping} where $\ANY \lesssim T \lesssim \ANY$ for any type $T$, we
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adopt an approach based on \emph{error suppression}, where $\ANY$ is
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an error-suppressing type, and any failures of subtyping involving
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error-suppressing types are not reported. Users can explicitly
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suppress type errors by declaring variables with type $\ANY$, and
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since an expression with a type error has an error-suppressing type we
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avoid cascading errors. Error suppression is in production Luau, and is
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mechanically verified~\cite{BJ23:agda-typeck}.
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\section{Further work}
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Currently the type inference system uses greedy inference, which is
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very sensitive to order of declarations, and can easily result in
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false positives. We plan to replace this by some form of local type
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inference~\cite{PT00:LocalTypeInference}.
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Currently, non-strict mode operates in the style of gradual type
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systems by inferring $\ANY$ as the type for local variables. This does
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not play well with type-directed tooling, for example $\ANY$ cannot
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provide autocomplete suggestions. Local type inference will infer more
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precise union types, and hence better type-driven tooling.
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At some point, we hope that error suppression will be the only difference
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between strict mode and non-strict mode.
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\bibliographystyle{ACM-Reference-Format} \bibliography{bibliography}
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\end{document}
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