From 13e3af27247020eda4759165a6f93aad122b1a7b Mon Sep 17 00:00:00 2001 From: Arseny Kapoulkine Date: Mon, 23 Oct 2023 09:02:08 -0700 Subject: [PATCH] Delete papers directory The directory was moved to https://github.com/luau-lang/research See https://github.com/Roblox/luau/issues/1074 for context --- papers/.gitignore | 12 - papers/hatra21/Logo-Roblox-Black-Full.png | Bin 70739 -> 0 bytes papers/hatra21/README.md | 45 --- papers/hatra21/bibliography.bib | 177 -------- papers/hatra21/cc-by.png | Bin 12588 -> 0 bytes papers/hatra21/hatra21.pdf | Bin 1315842 -> 0 bytes papers/hatra21/hatra21.tex | 446 --------------------- papers/hatra21/studio-mow.png | Bin 603059 -> 0 bytes papers/hatra21/studio-script-editor.png | Bin 301082 -> 0 bytes papers/hatra21/talk.pdf | Bin 219626 -> 0 bytes papers/hatra21/talk.tex | 203 ---------- papers/hatra23/bibliography.bib | 69 ---- papers/hatra23/cc-by.png | Bin 12588 -> 0 bytes papers/hatra23/hatra23.pdf | Bin 415897 -> 0 bytes papers/hatra23/hatra23.tex | 156 ------- papers/incorrectness24/bibliography.bib | 122 ------ papers/incorrectness24/cc-by.png | Bin 12588 -> 0 bytes papers/incorrectness24/incorrectness24.pdf | Bin 405978 -> 0 bytes papers/incorrectness24/incorrectness24.tex | 366 ----------------- 19 files changed, 1596 deletions(-) delete mode 100644 papers/.gitignore delete mode 100644 papers/hatra21/Logo-Roblox-Black-Full.png delete mode 100644 papers/hatra21/README.md delete mode 100644 papers/hatra21/bibliography.bib delete mode 100644 papers/hatra21/cc-by.png delete mode 100644 papers/hatra21/hatra21.pdf delete mode 100644 papers/hatra21/hatra21.tex delete mode 100644 papers/hatra21/studio-mow.png delete mode 100644 papers/hatra21/studio-script-editor.png delete mode 100644 papers/hatra21/talk.pdf delete mode 100644 papers/hatra21/talk.tex delete mode 100644 papers/hatra23/bibliography.bib delete mode 100644 papers/hatra23/cc-by.png delete mode 100644 papers/hatra23/hatra23.pdf delete mode 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zGeqCC@;R39^Vnb$Sr^~Mpi!(n&E@_>#_aKObwK?UHbzb!Up$AoOLFw^PmjWKC6@n% zbKaL=PSkDq5Ajk(0T=@H@AlI-pOtI)Gtunknm>5Ec?l^^^xnMxP@DC*PXz8*Bks6A zS$Mb) zTzQ)-G}Uc>A-3*!nuc!t7k}_W*MO_-)RjuFyI}zuKRgIN+TU345dWrcK9Ay>`v2k& zUL6b9DeKmg$aRswkTT$UgBOz;TpL&@4sLso;eg+0+Uq}l9yyl5d+QR|MtyT)<8H~( zUo@uebU2R~b`DOA)ySJ(YsM>-w*LtFd}Dw~-{oAXWaWzeJWWR0uJJr_%2a0*G(Qw% za9|d$w%<`z@S;Z$YM(ebRY2(Z=lf4Td|)fwf+aeeTlOacEl=}Eej)Qo UeZ_UyXT&hGtwiID&5o!449RL6T diff --git a/papers/hatra21/README.md b/papers/hatra21/README.md deleted file mode 100644 index 3105bb5bb..000000000 --- a/papers/hatra21/README.md +++ /dev/null @@ -1,45 +0,0 @@ -# HATRA 21 position paper - -A position paper on Luau for [Human Aspects of Types and Reasoning Assistants](https://2021.splashcon.org/home/hatra-2021) (HATRA) 2021. - -## Installing latexmk - -First install basictex -``` -sudo brew install basictex -``` - -Then install the dependencies for the paper (sigh, by hand): - -``` -sudo tlmgr update --all -sudo tlmgr install acmart -sudo tlmgr install iftex -sudo tlmgr install xstring -sudo tlmgr install environ -sudo tlmgr install totpages -sudo tlmgr install trimspaces -sudo tlmgr install manyfoot -sudo tlmgr install ncctools -sudo tlmgr install comment -sudo tlmgr install balance -sudo tlmgr install preprint -sudo tlmgr install libertine -sudo tlmgr install inconsolata -sudo tlmgr install newtx -sudo tlmgr install latexmk -sudo tlmgr install montserrat -sudo tlmgr install ly1 -``` - -## Building the paper - -To build the paper: -``` -latexmk --pdf hatra21 -``` - -To run latexmk in watching mode (where it rebuilds the PDF on each change): -``` -latexmk --pdf --pvc hatra21 -``` diff --git a/papers/hatra21/bibliography.bib b/papers/hatra21/bibliography.bib deleted file mode 100644 index 3c1936186..000000000 --- a/papers/hatra21/bibliography.bib +++ /dev/null @@ -1,177 +0,0 @@ -@Misc{Roblox, - author = {Roblox}, - title = {What is {Roblox}}, - year = 2021, - url = {https://corp.roblox.com}, -} - -@Misc{Luau, - author = {Roblox}, - title = {The {Luau} Programming Language}, - year = 2021, - url = {https://luau-lang.org}, -} - -@Misc{Lua, - author = {Lua.org and {PUC}-Rio}, - title = {The {Lua} Programming Language}, - year = 2021, - url = {https://lua.org}, -} - -@Misc{AllEducators, - author = {Roblox}, - title = {Roblox Education: All Educators}, - year = {2021}, - url = {https://education.roblox.com/en-us/educators}, -} - -@Misc{RobloxDevelopers, - author = {Roblox}, - title = {Roblox Developers Expected to Earn Over \$250 Million in 2020; Platform Now Has Over 150 Million Monthly Active Users -}, - year = {2020}, - url = {https://corp.roblox.com/2020/07/roblox-developers-expected-earn-250-million-2020-platform-now-150-million-monthly-active-users/}, -} - -@Book{TAPL, - author = {Benjamin C. Pierce}, - title = {Types and Programming Languages}, - publisher = {{MIT} Press}, - year = {2002}, - isbn = {0-262-16209-1}, -} - -@Book{TDDIdris, - author = {Edwin Brady}, - title = {Type-Driven Development with {Idris}}, - publisher = {Manning}, - year = {2017}, - isbn = {9781617293023}, -} - -@PhdThesis{TopQuality, - author = {Bastiaan J. Heeren}, - title = {Top Quality Type Error Messages}, - school = {U. Utrecht}, - year = {2005}, -} - -@PhdThesis{RepairingTypeErrors, - author = {Bruce J. McAdam}, - title = {Repairing Type Errors in Functional Programs}, - school = {U. Edinburgh}, - year = {2002}, -} - -@InProceedings{GradualTyping, - author = {Jeremy G. Siek and Walid Taha}, - title = {Gradual Typing for Functional Languages}, - booktitle = {Proc. Scheme and Functional Programming Workshop}, - year = {2006}, - pages = {81-92}, -} - -@InProceedings{WellTyped, - author = {Philip Wadler and Robert B. Findler}, - title = {Well-typed Programs Can’t be Blamed}, - booktitle = {Proc. European Symp. Programming}, - year = {2009}, - pages = {1-16}, -} - -@InProceedings{Contracts, - author = {Robert B. Findler and Matthias Felleisen}, - title = {Contracts for Higher-order Functions}, - booktitle = {Proc. Int. Conf. Functional Programming}, - year = {2002}, - pages = {48-59}, -} - -@inproceedings{SuccessTyping, - author = {Lindahl, Tobias and Sagonas, Konstantinos}, - title = {Practical Type Inference Based on Success Typings}, - year = {2006}, - booktitle = {Proc. Int. Conf. Principles and Practice of Declarative Programming}, - pages = {167–178}, -} - -@InProceedings{IncorrectnessLogic, - author = {O'Hearn, Peter W.}, - title = {Incorrectness Logic}, - year = {2020}, - booktitle = {Proc. Symp. Principles of Programming Languages}, - articleno = {10}, - pages = {1-32}, -} - -@Misc{HowToDrawAnOwl, - author = {Know Your Meme}, - title = {How To Draw An Owl}, - year = {2010}, - url = {https://knowyourmeme.com/memes/how-to-draw-an-owl}, -} - -@Misc{RustBook, - author = {Klabnik, Steve and Nichols, Carol and the Rust Community}, - title = {The Rust Programming Language}, - year = {2021}, - url = {https://doc.rust-lang.org/book/}, -} - -@article{TypeClasses, -author = {Hall, Cordelia V. and Hammond, Kevin and Peyton Jones, Simon L. and Wadler, Philip L.}, -title = {Type Classes in Haskell}, -year = {1996}, -volume = {18}, -number = {2}, -journal = {ACM Trans. Program. Lang. Syst.}, -pages = {109–138}, -} - -@InProceedings{Hazel, - author = {Cyrus Omar and Ian Voysey and Ravi Chugh and Matthew Hammer}, - title = {Live Functional Programming with Typed Holes}, - booktitle = {Proc. Symp. Principles of Programming Languages}, - year = {2019}, - pages = {14:1-14:28}, -} - -@InProceedings{MigratoryTyping, - author = {Sam Tobin-Hochstadt and Matthias Felleisen and Robert Bruce Findler and Matthew Flatt and Ben Greenman and Andrew M. Kent and Vincent St-Amour and T. Stephen Strickland and Asumu Takikawa}, - title = {Migratory Typing: Ten Years Later}, - booktitle = {Proc. Summit on Advances in Programming Languages}, - year = {2017}, -} - -@InProceedings{LinkingTypes, - author = {Daniel Patterson and Amal Ahmed}, - title = {Linking Types for Multi-Language Software: Have Your Cake and Eat It Too}, - booktitle = {Proc. Summit on Advances in Programming Languages}, - year = {2017}, -} - -@InProceedings{QuickLook, -author = {Serrano, Alejandro and Hage, Jurriaan and Peyton Jones, Simon and Vytiniotis, Dimitrios}, -title = {A quick look at impredicativity}, -booktitle = {Proc. Int. Conf. Functional Programming}, -year = {2020}, -} - -@InProceedings{Boehm85, - author = {Partial polymorphic type inference is undecidable}, - title = {Hans-J. Boehm}, - booktitle = {Proc. Symp. Foundations of Computer Science}, - year = {1985}, - pages = {339-345}, -} - -@article{LocalTypeInference, -author = {Pierce, Benjamin C. and Turner, David N.}, -title = {Local Type Inference}, -year = {2000}, -volume = {22}, -number = {1}, -journal = {ACM Trans. Program. Lang. Syst.}, -pages = {1–44}, -} \ No newline at end of file diff --git a/papers/hatra21/cc-by.png b/papers/hatra21/cc-by.png deleted file mode 100644 index c8473a24786ab016d9c3e717a380910f7cbb0fff..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 12588 zcmXY21ys}R+a8ECNOyOalu|OfrKB5FI;2xzv^0{^t@KNGhp2Q&cju(@d-$J^b8s8m zZ`)J%758PtTU9wMbTV`Z1cId?FRcNAAS8nO(WuDaUzdgyad3n5396ul3VwW1EyKZM zG$(nzPY?(f$I~wYwr#u}_#>&SjIOJu<9k;RGZ!m}hldB3wS(;^3o|DxE=QLS8AqaI z5C{!KL0VGF^V{K~m!Zn_Bg)APXG5Cz6_kbu*5aB>jBu$QB3vT(-%i zKB=J`SOT?pH7U?g#dr`&s3Ol>2tvPZV> z&77JHeIvU}8=sv(M#NJdtRUhBsw>z2nrgl}Ru|sXi|wC?~nY zkR)+n-LEiAX;X&pQSZ3Z?zrPc5k@78a&f^kkqj7bUT~${R*R>7Lpia(SGTvfKii!_ zDSA)YX*Z?lZiWY5Ag-$Z5cWbNtJwFZIt34Md9!S7V`F|=!^jYi177ia+`c@jZ#emllvMD) zp@Abs2*qB&_Gp99+1YskHKimDQZ5g;J33z-JI+k~iY3?Kh8vQTD8sxfCj+i$`8EQV z5n}YMiGg9(MPDh7+(+eF; z*2+QYOP-GwpQ*6L#wK!^51RkR2cSsPbG}Y<5~gTX4T#=GQ}E16`qKK%ke~)bT}ul# z@`DjWN=2odwkg#hJzq)3z_ofGktj;W;tZ+F#7c${${j`{%0SU4(}#D=Ex}DaLr3S# 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-\end{itemize} -Satisfying everyone is sometimes challenging. - -\end{frame} - -\begin{frame} - -\frametitle{Roblox Studio} - -Demo time! - -\end{frame} - -\begin{frame} - -\frametitle{Learners have immediate goals} - -E.g. ``when a player steps on the button, advance the slide''. -\begin{itemize} - \item \textbf{3D scene editor} meets most goals, e.g.~model parts. - \item \textbf{Programming} is needed for reacting to events, e.g.~collisions. - \item \textbf{Onboarding} is very different from ``let's learn to program''. - \item \textbf{Google Stack Overflow} is a common workflow. - \item \textbf{Type-driven tools} are useful, e.g.~autocomplete or API help. - \item \textbf{Type errors} may be useful (e.g.~catching typos) but some are not. -\end{itemize} -Type systems should help or get out of the way. - -\end{frame} - -\begin{frame} - -\frametitle{Professionals have long-term goals} - -E.g. ``decrease user churn'' or ``improve frame rate''. -\begin{itemize} -\item \textbf{Code planning}: programs are incomplete. -\item \textbf{Code refactoring}: programs change. -\item \textbf{Defect detection}: programs have bugs. -\end{itemize} -Type-driven development is a useful technique! - -\end{frame} - -\part{Luau Type System} - -\begin{frame} - -\frametitle{Infallible types} - -Goal: \emph{support type-driven tools (e.g. autocomplete) for all programs.} -\begin{itemize} -\item \textbf{Traditional typing judgment} says nothing about ill-typed terms. -\item \textbf{Infallible judgment}: every term gets a type. -\item \textbf{Flag type errors}: elaboration introduces \emph{flagged} subterms. -\end{itemize} - -\emph{Related work}: -\begin{itemize} -\item Type error reporting, program repair. -\item Typed holes (e.g. in Hazel). -\end{itemize} - -\end{frame} - -\begin{frame} - -\frametitle{Strict types} - -Goal: \emph{no false negatives}. - -\begin{itemize} -\item \textbf{Strict mode} enabled by developers who want defect detection. -\item \textbf{Business as usual} soundness via progress + preservation. -\item \textbf{Gradual types} for programs with flagged type errors. -\end{itemize} - -\emph{Related work}: -\begin{itemize} -\item Lots and lots for type safety. -\item Gradual typing, blame analysis, migratory types\dots -\end{itemize} - -\end{frame} - -\begin{frame} - -\frametitle{Nonstrict types} - -Goal: \emph{no false positives}. - -\begin{itemize} -\item \textbf{Nonstrict mode} enabled by developers who want type-drive tools. -\item \textbf{Victory condition} does not have an obvious definition! -\item \textbf{A shot at it}: a program is \emph{incorrectly flagged} if it contains - a flagged value (i.e.~a flagged program has successfully terminated). -\item \textbf{Progress + correct flagging} is what we want??? -\end{itemize} - -\emph{Related work}: -\begin{itemize} -\item Success types (e.g. Erlang Dialyzer). -\item Incorrectness Logic. -\end{itemize} - -\end{frame} - -\begin{frame} - -\frametitle{Mixing types} - -Goal: \emph{support mixed strict/nonstrict development}. - -\begin{itemize} -\item \textbf{Per-module} strict/nonstrict mode. -\item \textbf{Combined} progress + preservation with progress + correct flagging? -\end{itemize} - -\emph{Related work}: -\begin{itemize} -\item Some on mixed languages, but with shared safety properties. -\end{itemize} - -\end{frame} - -\begin{frame} - -\frametitle{Type inference} - -Goal: \emph{provide benefits of type-directed tools to everyone}. - -\begin{itemize} -\item \textbf{Infer types} for all variables. Resist the urge to give up and ascribe a top type when an error is encountered. -\item \textbf{System F} is in Luau, so everything is undecidable. Yay heuristics! -\item \textbf{Different modes} currently infer different types. Boo! -\end{itemize} - -\emph{Related work}: -\begin{itemize} -\item Lots, though not on mixed modes. -\end{itemize} - -\end{frame} - -\part{Thank you!\\Roblox is hiring!} - -\end{document} diff --git a/papers/hatra23/bibliography.bib b/papers/hatra23/bibliography.bib deleted file mode 100644 index 3fbae85e8..000000000 --- a/papers/hatra23/bibliography.bib +++ /dev/null @@ -1,69 +0,0 @@ -@InProceedings{BFJ21:GoalsLuau, - author = {L. Brown and A. Friesen and A. S. A. Jeffrey}, - title = {Position Paper: Goals of the Luau Type System}, - booktitle = {Proc. Human Aspects of Types and Reasoning Assistants}, - year = {2021}, - url = {https://asaj.org/papers/hatra21.pdf}, -} - -@Misc{Roblox, - author = {Roblox}, - title = {Reimagining the way people come together}, - year = 2023, - url = {https://corp.roblox.com}, -} - -@Misc{Luau, - author = {Roblox}, - title = {The {Luau} Programming Language}, - year = 2023, - url = {https://luau-lang.org}, -} - -@Misc{Lua, - author = {Lua.org and {PUC}-Rio}, - title = {The {Lua} Programming Language}, - year = 2023, - url = {https://lua.org}, -} - -@Misc{Jef22:SemanticSubtyping, - author = {A. S. A. Jeffrey}, - title = {Semantic Subtyping in Luau}, - howpublished = {Roblox Technical Blog}, - year = {2022}, - url = {https://blog.roblox.com/2022/11/semantic-subtyping-luau/}, -} - -@InProceedings{GF05:GentleIntroduction, - author = {G. Castagna and A. Frisch}, - title = {A Gentle Introduction to Semantic Subtyping}, - booktitle = {Proc. Principles and Practice of Declarative Programming}, - year = {2005}, -} - -@InProceedings{ST07:GradualTyping, - author = {J. G. Siek and W. Taha}, - title = {Gradual Typing for Objects}, - booktitle = {Proc. European Conf Object-Oriented Programming}, - year = {2007}, - pages = {2-27}, -} - -@Misc{BJ23:agda-typeck, - author = {L. Brown and A. S. A. Jeffrey}, - title = {Luau Prototype Typechecker}, - year = {2023}, - OPTnote = {}, - url = {https://github.com/luau-lang/agda-typeck} -} - -@article{PT00:LocalTypeInference, -author = {Pierce, B. C. and Turner, D. N.}, -title = {Local Type Inference}, -year = {2000}, -volume = {22}, -number = {1}, -journal = {ACM Trans. Program. Lang. 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zwl@g+Nc>wG0G99sNw;ai6X*`lHkU?3YB~6$>Jl1>*dwCrZ{SI#nqQ+ptR*9I_;5dDEPB9g<#d99Uk3-u?qSIla z;ytK0SJ{$1z_ERZ`Z_7F6$&0|GIlaFb0*4l5%76G;GQD(XyJ{tePct|(Sldd!li8! z{M5;n-$p#tMp}m=ujH#-hY+U?SJIX|;FtTjA|G>dQnW2^S6ggM>HMt_YD$u)sKh8g zrn;eIEu~}%>2h6GfpzM>(#Te{*}b&LtdP#V_&7i9X1|7F%1*Bj;7LgZC57PsAER;uI{*Lx diff --git a/papers/hatra23/hatra23.tex b/papers/hatra23/hatra23.tex deleted file mode 100644 index 1d73ee532..000000000 --- a/papers/hatra23/hatra23.tex +++ /dev/null @@ -1,156 +0,0 @@ -\documentclass[acmsmall]{acmart} - -\setcopyright{rightsretained} -\copyrightyear{2023} -\acmYear{2023} -\acmConference[HATRA '23]{Human Aspects of Types and Reasoning Assistants}{October 2023}{Portugal, Spain} -\acmBooktitle{HATRA '23: Human Aspects of Types and Reasoning Assistants} -\acmDOI{} -\acmISBN{} -\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.} -\expandafter\def\csname @copyrightowner\endcsname{Roblox.} - -\newcommand{\ANY}{\mathtt{any}} -\newcommand{\ERROR}{\mathtt{error}} -\newcommand{\NUMBER}{\mathtt{number}} - -\begin{document} - -\title{Goals of the Luau Type System, Two Years On} - -\author{Lily Brown} -\author{Andy Friesen} -\author{Alan Jeffrey} -\affiliation{ - \institution{Roblox} - \city{San Mateo} - \state{CA} - \country{USA} -} - -\begin{abstract} -In HATRA 2021, we presented \emph{The Goals Of The Luau Type System}, -describing the human factors of a type system for a -language with a heterogeneous developer community. In this extended -abstract we provide a progress report, focusing on -the unexpected aspects: semantic subtyping and type error -suppression. -\end{abstract} - -\maketitle - -\section{Recap} - -Luau~\cite{Luau} is the scripting language used by the -Roblox~\cite{Roblox} platform for shared immersive experiences. Luau extends -the Lua~\cite{Lua} language, notably by providing type-driven tooling -such as autocomplete and API documentation (as well as traditional type -error reporting). Roblox has hundreds of millions of users, and -millions of creators, ranging from children learning to program for -the first time to professional development studios. - -In HATRA 2021, we presented a position paper on the \emph{Goals Of The Luau Type -System}~\cite{BFJ21:GoalsLuau}, describing the human factors issues -with designing a type system for a language with a heterogeneous -developer community. The design flows from the needs of the different -communities: beginners are focused on immediate goals (``the stairs -should light up when a player walks on them'') and less on the code -quality concerns of more experienced developers; for all users -type-driven tooling is important for productivity. These needs result in a design with two modes: -\begin{itemize} -\item \emph{non-strict mode}, aimed at non-professionals, focused on - minimizing false positives (that is, in non-strict mode, any program with a type error has a defect), and -\item \emph{strict mode}, aimed at professionals, focused on - minimizing false negatives (that is, in strict mode, any program with a defect has a type error). -\end{itemize} -%% For both communities, type-driven tooling is important, so we -%% provide \emph{infallible type inference}, which infers types -%% even for ill-typed or syntactically invalid programs. - -\section{Progress} - -In the two years since the position paper, we have been making changes -to the Luau type system to achieve the goals we set out. Most of the -changes were straightforward, but two were large changes in how we -thought about the design of the type system: replacing the existing -syntactic subtyping algorithm by \emph{semantic subtyping}, and -treating gradual typing as \emph{type error suppression}. - -Semantic subtyping -interprets types as sets of values, and subtyping as set -inclusion~\cite{GF05:GentleIntroduction}. This is aligned with the -\emph{minimize false positives} goal of Luau non-strict mode, since -semantic subtyping only reports a failure of subtyping when there is a -value which inhabits the candidate subtype, but not the candidate -supertype. -For example, the program: -\begin{verbatim} - local x : CFrame = CFrame.new() - local y : Vector3 | CFrame - if math.random() < 0.5 then y = CFrame.new() else y = Vector3.new() end - local z : Vector3 | CFrame = x * y -\end{verbatim} -cannot produce a run-time error, since multiplication of \verb|CFrame|s is overloaded: -\begin{verbatim} - ((CFrame, CFrame) -> CFrame) & ((CFrame, Vector3) -> Vector3) -\end{verbatim} -In order to typecheck this program, we check that that type is a subtype of: -\begin{verbatim} - (CFrame, Vector3 | CFrame) -> (Vector3 | CFrame) -\end{verbatim} -In the previous, syntax-driven, implementation of subtyping, this subtype check would fail, resulting in a false positive. -We have now released an implementation of semantic subtyping, which does not suffer from this defect. -See our technical blog for more details~\cite{Jef22:SemanticSubtyping}. - -Rather than the gradual typing approach -of Siek and Taha~\cite{ST07:GradualTyping}, which uses \emph{consistent -subtyping} where $\ANY \lesssim T \lesssim \ANY$ for any type $T$, we -adopt an approach based on \emph{error suppression}, where $\ANY$ is -an error-suppressing type, and any failures of subtyping involving -error-suppressing types are not reported. Users can explicitly -suppress type errors by declaring variables with type $\ANY$, and -since an expression with a type error has an error-suppressing type we -avoid cascading errors. - -We do this by defining a \emph{infallible} typing judgment $\Gamma \vdash M : T$ -such that for any $\Gamma$ and $M$, there is a $T$ such that $\Gamma \vdash M : T$. -For example the rule for addition (ignoring overloads for simplicity) is: -\[ - \frac{\Gamma \vdash M : T \quad \Gamma \vdash M : U}{\Gamma \vdash M+N : \NUMBER} -\] -We define which judgments produce warnings, for example that rule produces a warning -when -\begin{itemize} - \item either $T \not<: \NUMBER$ and $T$ is not error-suppressing, - \item or $U \not<: \NUMBER$ and $U$ is not error-suppressing. -\end{itemize} -To retain type soundness (in the absence of user-supplied error-suppressing types) -we show that -if $\Gamma \vdash M : T$ and $T$ is error-suppressing, then either -\begin{itemize} - \item $\Gamma$ or $M$ contains an error-suppressing type, or - \item $\Gamma \vdash M : T$ produces a warning. -\end{itemize} -From this it is straightforward to show the usual ``well typed -programs don't go wrong'' type soundness result for programs without explicit -error-suppressing types~\cite{BJ23:agda-typeck}. - -\section{Further work} - -Currently the type inference system uses greedy inference, which is -very sensitive to order of declarations, and can easily result in -false positives. We plan to replace this by some form of local type -inference~\cite{PT00:LocalTypeInference}. - -Currently, non-strict mode operates in the style of gradual type -systems by inferring $\ANY$ as the type for local variables. This does -not play well with type-directed tooling, for example $\ANY$ cannot -provide autocomplete suggestions. Local type inference will infer more -precise union types, and hence better type-driven tooling. - -At some point, we hope that error suppression will be the only difference -between strict mode and non-strict mode. - -\bibliographystyle{ACM-Reference-Format} \bibliography{bibliography} - -\end{document} diff --git a/papers/incorrectness24/bibliography.bib b/papers/incorrectness24/bibliography.bib deleted file mode 100644 index a5724f6b1..000000000 --- a/papers/incorrectness24/bibliography.bib +++ /dev/null @@ -1,122 +0,0 @@ -@InProceedings{BFJ21:GoalsLuau, - author = {L. Brown and A. Friesen and A. S. A. Jeffrey}, - title = {Position Paper: Goals of the Luau Type System}, - booktitle = {Proc. Human Aspects of Types and Reasoning Assistants}, - year = {2021}, - url = {https://asaj.org/papers/hatra21.pdf}, -} - -@Misc{Roblox, - author = {Roblox}, - title = {Reimagining the way people come together}, - year = 2023, - url = {https://corp.roblox.com}, -} - -@Misc{Luau, - author = {Roblox}, - title = {The {Luau} Programming Language}, - year = 2023, - url = {https://luau-lang.org}, -} - -@Misc{Lua, - author = {Lua.org and {PUC}-Rio}, - title = {The {Lua} Programming Language}, - year = 2023, - url = {https://lua.org}, -} - -@Misc{Jef22:SemanticSubtyping, - author = {A. S. A. Jeffrey}, - title = {Semantic Subtyping in Luau}, - howpublished = {Roblox Technical Blog}, - year = {2022}, - url = {https://blog.roblox.com/2022/11/semantic-subtyping-luau/}, -} - -@InProceedings{GF05:GentleIntroduction, - author = {G. Castagna and A. Frisch}, - title = {A Gentle Introduction to Semantic Subtyping}, - booktitle = {Proc. Principles and Practice of Declarative Programming}, - year = {2005}, -} - -@InProceedings{ST07:GradualTyping, - author = {J. G. Siek and W. Taha}, - title = {Gradual Typing for Objects}, - booktitle = {Proc. European Conf Object-Oriented Programming}, - year = {2007}, - pages = {2-27}, -} - -@Misc{BJ23:agda-typeck, - author = {L. Brown and A. S. A. Jeffrey}, - title = {Luau Prototype Typechecker}, - year = {2023}, - OPTnote = {}, - url = {https://github.com/luau-lang/agda-typeck} -} - -@article{PT00:LocalTypeInference, -author = {Pierce, B. C. and Turner, D. N.}, -title = {Local Type Inference}, -year = {2000}, -volume = {22}, -number = {1}, -journal = {ACM Trans. Program. Lang. Syst.}, -pages = {1–44}, -} - -@inproceedings{SuccessTyping, - author = {Lindahl, T. and Sagonas, K.}, - title = {Practical Type Inference Based on Success Typings}, - year = {2006}, - booktitle = {Proc. Int. Conf. Principles and Practice of Declarative Programming}, - pages = {167–178}, -} - -@InProceedings{Dialyzer, -author="Lindahl, T. and Sagonas, K.", -title="Detecting Software Defects in Telecom Applications Through Lightweight Static Analysis: A War Story", -booktitle="Proc. Asian Symp. Programming Languages and Systems", -year="2004", -pages="91--106", -} - -@Misc{NewNonStrictRFC, - author = {A. S. A. Jeffrey}, - title = {{RFC} For New Non-strict Mode}, - howpublished = {Luau Request For Comment}, - year = {2023}, - note = {\url{https://github.com/Roblox/luau/pull/1037}}, -} - -@Inbook{Nielson1999, -author="Nielson, F. -and Nielson, H. R.", -title="Type and Effect Systems", -bookTitle="Correct System Design: Recent Insights and Advances", -year="1999", -publisher="Springer", -pages="114--136", -isbn="978-3-540-48092-1", -} - -@Misc{DesignElixir, - author = {G. Castagna and G. Duboc and J. Valim}, - title = {The Design Principles of the {Elixir} Type System}, - year = {2023}, - note = {\url{https://doi.org/10.48550/arXiv.2306.06391}}, -} - -@article{BidirectionalTyping, -author = {Dunfield, J. and Krishnaswami, N.}, -title = {Bidirectional Typing}, -year = {2022}, -volume = {54}, -number = {5}, -journal = {ACM Comput. 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The only way to detect -that \verb|Fop| was never read would be whole-program analysis, which is -prohibitively expensive. - -\section{New Non-strict error reporting} - -The difficult part of non-strict mode error-reporting is predicting -run-time errors. We do this using an error-reporting -pass that synthesizes a type context $\Delta$ such that if any of the $x : T$ in -$\Delta$ are satisfied, then the program will -produce a type error. For example in the program -\begin{verbatim} - function h(x, y) - math.abs(x) - string.lower(y) - end -\end{verbatim} -an error is reported when \verb|x| isn’t a \verb|number|, or \verb|y| isn’t a \verb|string|, so the synthesized context is -\begin{verbatim} - x : ~number, y : ~string -\end{verbatim} -(\verb|~T| is Luau's concrete syntax for type negation.) -In: -\begin{verbatim} - function f(x) - math.abs(x) - string.lower(x) - end -\end{verbatim} -an error is reported when \verb|x| isn’t a \verb|number| or isn’t a \verb|string|, so the context is -\begin{verbatim} - x : ~number | ~string -\end{verbatim} -(\verb"T | U" is Luau's concrete syntax for type union.) -Since the type \verb"~number | ~string" is equivalent to the type \verb|unknown| (which contains every value), -non-strict mode can report a warning, since calling the function is guaranteed to throw a run-time error. -In contrast: -\begin{verbatim} - function g(x) - if cond() then - math.abs(x) - else - string.lower(x) - end - end -\end{verbatim} -synthesizes context -\begin{verbatim} - x : ~number & ~string -\end{verbatim} -(\verb|T & U| is Luau's concrete syntax for type intersection.) -Since \verb|~number & ~string| is not equivalent to \verb|unknown|, non-strict mode reports no warning. - -\begin{figure*} - \[\begin{array}{c} - \infer{ - \Gamma \vdash M : \NEVER \dashv \Delta_1 \\ - \Gamma, x : T \vdash B \dashv \Delta_2, x : U \\ - \mbox{(warn if $\UNKNOWN <: U$)} - }{ - \Gamma \vdash (\LOCAL x : T = M; B) \dashv (\Delta_1 \cup \Delta_2) - } - \quad - \infer{ - \Gamma \vdash M : \NEVER \dashv \Delta_1 \\ - \Gamma \vdash B \dashv \Delta_2 \\ - \Gamma \vdash C \dashv \Delta_3 - }{ - \Gamma \vdash (\IF M \THEN B \ELSE C \END) \dashv (\Delta_1 \cup (\Delta_2 \cap \Delta_3)) - } - \\[\bigskipamount] - \infer{}{ - \Gamma \vdash x : T \dashv (x : T) - } - \quad - \infer{ - \mbox{(warn if $k:T$)} - }{ - \Gamma \vdash k : T \dashv \emptyset - } - \quad - \infer{ - \Gamma, x:S \vdash B \dashv \Delta, x:U \\ - \mbox{(warn if $\UNKNOWN <: U$)}\\ - \mbox{(warn if ${\FUNCTION} <: T$)} - }{ - \Gamma \vdash (\FUNCTION (x : S) B \END) : T \dashv \Delta - } - \quad - \infer{ - \Gamma \vdash M : (S \fun \ERROR) \\ - \Gamma \vdash M : \neg{\FUNCTION} \dashv \Delta_1 \\ - \Gamma \vdash N : S \dashv \Delta_2 \\ - \mbox{(warn if $\Gamma \vdash M : (\UNKNOWN \fun (T \cup \ERROR))$)} - }{ - \Gamma \vdash M(N) : T \dashv \Delta_1 \cup \Delta_2 - } - \end{array}\] - \caption{Type context synthesis for blocks ($\Gamma \vdash B \dashv \Delta$) and expressions ($\Gamma \vdash M:T \dashv \Delta$)} - \label{fig:ctxtgen} -\end{figure*} - -\begin{figure*} - \[ - \infer{ - \begin{array}[b]{c} - \infer{}{\Gamma \vdash \MATH.\ABS : (\neg\NUMBER \fun \ERROR)} \\[\bigskipamount] - \infer{}{\Gamma \vdash \MATH.\ABS : \neg{\FUNCTION} \dashv \emptyset} - \end{array} - \infer{ - \Gamma \vdash \STRING.\LOWER : (\neg\STRING \fun \ERROR) \\ - \Gamma \vdash \STRING.\LOWER : \neg{\FUNCTION} \dashv \emptyset \\ - \Gamma \vdash x : \neg{\STRING} \dashv (x : \neg\STRING) \\ - \mbox{(warn since $\Gamma \vdash \STRING.\LOWER : \UNKNOWN \fun (\neg\NUMBER \cup \ERROR)$)} - }{\Gamma \vdash \STRING.\LOWER(x) : \neg{\NUMBER} \dashv (x : \neg\STRING)} - }{\Gamma \vdash (\MATH.\ABS(\STRING.\LOWER(x)) : \NEVER \dashv (x : \neg\STRING)} - \] - \caption{Example warning} - \label{fig:example} -\end{figure*} - -In Figure~\ref{fig:ctxtgen} we provide some of the inference rules for -context synthesis, and the warnings that it -produces. These are run after type inference, so they can assume that -all code is fully typed. - -In the judgment $\Gamma \vdash M : T \dashv -\Delta$, the type context $\Gamma$ is the usual \emph{checked} type -context and $\Delta$ is the \emph{synthesized} context used to predict -run-time errors (following the terminology of bidirectional -typing~\cite{BidirectionalTyping}). - -\begin{conjecture}\label{conj:complete}% -If $\Gamma \vdash M : T \dashv \Delta, x:U$ and $\sigma$ is a closing -substitution where $\sigma(x) : U$ and $M[\sigma] \rightarrow^* v$, -then $v : T$. -\end{conjecture} - -\begin{corollary}\label{cor:complete}% -If $\Gamma \vdash M : \NEVER \dashv \Delta, x:\UNKNOWN$ and $\sigma$ is a closing -substitution, then $M[\sigma]$ does not terminate successfully. -\end{corollary} - -\section{Checked functions} - -The crucial aspect of this type system is that we have a type $\ERROR$ -inhabited by no values, and by expressions which may throw a run-time exception. -(This is essentially a very simple type and effect system~\cite{Nielson1999} -with one effect.) - -The rule for function application $M(N)$ -has two dependencies on the type for $M$: -\[\begin{array}{c} - \Gamma \vdash M : (S \fun \ERROR) - \\[\jot] - \Gamma \vdash M : (\UNKNOWN \fun (T \cup \ERROR)) -\end{array}\] -Since Luau is based on semantic subtyping~\cite{GF05:GentleIntroduction,Jef22:SemanticSubtyping} and supports -intersection types, this is equivalent to asking for $M$ to be an -overloaded function, where one overload has argument type $\UNKNOWN$, and -one has result type $\ERROR$. For example: -\[ - \MATH.\ABS : (\NUMBER \fun \NUMBER) \cap (\neg\NUMBER \fun \ERROR) -\] -and so (by subsumption): -\[\begin{array}{c} - \MATH.\ABS : (\neg\NUMBER \fun \ERROR) - \\[\jot] - \MATH.\ABS : (\UNKNOWN \fun (\NUMBER \cup \ERROR)) -\end{array}\] -This is a common enough idiom it is worth naming it: -we call any function of type -\[ - (S \fun T) \cap (\neg S \fun \ERROR) -\] -a \emph{checked} function, since it performs a run-time check -on its argument. They are called \emph{strong arrows} -in Elixir~\cite{DesignElixir}. - -Note that this type system has the usual subtyping rule for -functions: contravariant in their argument type, and -covariant in their result type. In contrast, checked functions -are invariant in their argument type, since one overload -$S \fun T$ is contravariant in $S$, and the other $\neg S \fun \ERROR$ -is covariant. - -This system is also different from success -typings~\cite{SuccessTyping}, which has functions -$(\neg S \fun \ERROR) \cap (\UNKNOWN \fun (T \cup \ERROR))$, -in our system, which are covariant in both $S$ and $T$. - -\section{Future work} - -This type system is still in the design phase~\cite{NewNonStrictRFC}, though we hope -the implementation will be ready by the end of 2023. This will include -testing the implementation on our unit tests, and on large code bases. - -There is an Agda development of a core of strict mode~\cite{BJ23:agda-typeck}. It -should extend to non-strict mode, at which point -Conjecture~\ref{conj:complete} (or something like it) -will be mechanically verified. - -\bibliographystyle{ACM-Reference-Format} \bibliography{bibliography} - -\end{document}