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docs: Flesh out index.md 

This has background information and callouts to individual sections that
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Luau
====
Luau is a fast, small, safe and gradually typed embeddable scripting language derived from Lua. It is used by Roblox game developers to write game code, as well as by Roblox engineers to implement large parts of the user-facing application code as well as portions of the editor (Roblox Studio) as plugins.
Luau is a fast, small, safe, gradually typed embeddable scripting language derived from Lua. It is used by Roblox game developers to write game code, as well as by Roblox engineers to implement large parts of the user-facing application code as well as portions of the editor (Roblox Studio) as plugins.
This repository hosts documentation for the language as well as satellite materials.

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Luau
====
Luau is a fast, small, safe and gradually typed embeddable scripting language derived from Lua. It is used by Roblox game developers to write game code, as well as by Roblox engineers to implement large parts of the user-facing application code as well as portions of the editor (Roblox Studio) as plugins.
Luau is a fast, small, safe, gradually typed embeddable scripting language derived from Lua. It is used by Roblox game developers to write game code, as well as by Roblox engineers to implement large parts of the user-facing application code as well as portions of the editor (Roblox Studio) as plugins.
Motivation
==========
Around 2006, [Roblox](https://www.roblox.com) started using Lua 5.1 as a scripting language for games. Over the years the runtime had to be tweaked to provide a safe, secure sandboxed environment; we gradually started accumulating small library changes and tweaks.
Over the course of the last few years, instead of using Web-based stack for our player-facing application, Lua-based in-game UI and Qt-based editor UI, we've started consolidating a lot of the efforts and developing all of these using Roblox engine and Lua as a scripting language.
Having grown a substantial internal codebase that needed to be correct and performant, and with the focus shifting a bit from novice game developers to professional studios building games on Roblox and our own teams of engineers building applications, there was a need to improve performance and quality of the code we were writing.
Unlike mainline Lua, we also could not afford to do major breaking changes to the language (hence the 5.1 language baseline that remained unchanged for more than a decade). While faster implementations of Lua 5.1 like LuaJIT were available, they didn't meet our needs in terms of portability, ease of change and they didn't address the problem of developing robust code at scale.
All of these motivated us to start reshaping Lua 5.1 that we started from into a new, derivative language that we call Luau. Our focus it on making the language more performant and feature-rich, and make it easier to write robust code through a combination of linting and type checking using a gradual type system.
Syntax
======
Luau is syntactically backwards-compatible with Lua 5.1 (code that is valid Lua 5.1 is also valid Luau); however, we have extended the language with a set of syntactical features that make the language more familiar and ergonomic. The syntax [is described here](syntax.md).
Sandboxing
==========
Luau limits the set of standard libraries exposed to the users and implements extra sandboxing features to be able to run unprivileged code (written by our game developers) side by side with privileged code (written by us). This results in an execution environment that is different from what is commonplace in Lua. The sandboxing [is described here](sandbox.md).
Compatibility
=============
Whenever possible, Luau aims to be backwards-compatible with Lua 5.1 and at the same time to incorporate features from later revisions of Lua. However, Luau is not a full superset of later versions of Lua - we do not agree with some design decisions and are not constrained by the same reasoning as that of PUC-Rio. All post-5.1 Lua features, along with their support status in Luau, [are documented here](compatibility.md).
Analysis
========
To make it easier to write correct code, Luau comes with a set of analysis tools that can surface common mistakes. These consist of a linter and a type checker, colloqually known as "script analysis", and can be used from [Roblox Studio](https://developer.roblox.com/en-us/articles/The-Script-Analysis-Tool) or using SECRET TOOL. The linting passes are [described here](lint.md), and the type checking user guide can [be found here](typecheck.md).
Libraries
=========
As a language, Luau is a full superset of Lua 5.1. As far as standard library is concerned, some functions had to be removed from the builtin libraries, and some functions had to be added. Additionally, Luau is currently only runnable from the context of the Roblox engine, which exposes a large API surface [documented on Roblox developer portal](https://developer.roblox.com/en-us/api-reference).
Performance
===========
In addition to a completely custom front end that implements parsing, linting and type checking, Luau runtime features new bytecode, interpreter and compiler that are heavily tuned for performance. Luau currently does not implement Just-In-Time compilation, but its interpreter is often competitive with LuaJIT interpreter on a wide set of benchmarks. We continue to optimize the runtime and rewrite portions of it to be even more efficient, including plans for a new garbage collector and further library optimizations, as well as an eventual JIT/AOT option.