LeanTEA

Lean 4 + TEA (The Elm Architecture). A tiny full-stack framework — and a handful of apps built on top of it (a functional spreadsheet with an MCP endpoint, a board-game SPA, a Chrome-CDP MCP server, and several other AI-driving MCP servers).

Questions, design discussion, and weekly progress threads live in the Discord channel above.

Pure Lean stack: HTTP server, WebSocket client, and SQLite live in Lean.
No Node.js, no Python at runtime (Python is used only by a few build helpers in tools/).
SQLite is vendored — c/sqlite3.c is the amalgamation, linked into the binary, so deployment doesn't need -lsqlite3.
The browser only ever sees plain HTML + one inlined JS file (Web Speech API is the only external browser API used).
Matches (slightly beats) tuned nginx on hello-world / 5-field JSON: the LeanTea.Net.ReactorServer backend is a c/leantea_reactor.c non-blocking event loop (kqueue on macOS/BSD, epoll on Linux) driving a Lean ByteArray → IO ByteArray callback per request. 72 k RPS at c=128 vs nginx 69 k on the same box. Full numbers in docs/BENCHMARKS.md.

Inspirations

The name LeanTEA is Lean 4 + TEA — The Elm Architecture. The framework borrows ideas across the Elm + Haskell-flavoured ecosystem and ports them into Lean 4:

The Elm Architecture (TEA) — Model / Msg / update / view on both the TUI and the in-browser runtimes. Lean's structures + dependent types let Msg be an inductive that the compiler exhaustiveness-checks for you.
Yesod — the "full-stack typed web framework" framing: routing, sessions, OAuth, and templates as first-class Lean values rather than stringly-typed configuration.
Persistent — the Entity / Repo typeclasses under LeanTea.Persist.* are Persistent-style: define a record, derive a backend-agnostic store, swap SQLite / MySQL / in-memory at the call site.
Servant — the typed-RPC layer (LeanTea.Rpc) treats the API surface as a Lean type the server and client share. No hand-written JSON wrangling, no schema drift.

Not affiliated with or endorsed by the Elm, Yesod, Persistent, or Servant projects.

Sibling projects in the Lean 4 ecosystem

Verso — a Lean-native authoring tool for documentation and books (Scribble / Sphinx lineage). Complementary to LeanTEA, not overlapping: Verso generates static documents; LeanTEA serves dynamic web apps. We're considering migrating docs/ to Verso once the framework stabilises so the code snippets in the book are actually type-checked.

Secure by Construction

LeanTEA's headline property is that whole classes of vulnerabilities can't be expressed in user code that compiles. Eight primitives ship today; one more is planned. The shipped set covers most of the IPA 「安全なウェブサイトの作り方」 11 categories and OWASP Top 10 2021. See SECURITY.md for the design + threat model, docs/11 for the walk-through, and ROADMAP.md for sequencing.

Vulnerability class	LeanTEA primitive	IPA / OWASP	Status
Authorization bypass / IDOR	`LeanTea.Auth.Proof` (`Proof c` + `Capability` lattice + dependent `Proof (.owner id)`)	IPA §3.7 / A01	✅ shipped — walk · demo
SQL injection	`LeanTea.Persist.SafeQuery` (typed `Where` / `Select` / `Update` / `Delete` + `.trusted decl_name%` audit)	IPA §3.1 / A03	✅ shipped — walk · demo
XSS (URL scheme + event-handler names)	`LeanTea.Html.SafeAttr` (private `mk` + URL allow-list + `on*` rejection)	IPA §3.5 / A03	✅ shipped — walk · demo
Path traversal	`LeanTea.Net.SafePath` (workspace-relative + `..` / NUL / sibling-prefix reject)	IPA §3.4 / A01	✅ shipped — walk · demo
OS command injection	`LeanTea.Os.SafeCmd` (`args : List String` + shell-name allow-list reject + grep-able `SafeCmd.shell` audit)	IPA §3.3 / A03	✅ shipped — walk · demo
HTTP header injection	`Response.setHeader` (CR / LF / NUL reject)	IPA §3.6 / A03	✅ shipped — walk · demo
Clickjacking + MIME sniffing	`Response.defaultSecurityHeaders` (XFO / nosniff / Referrer-Policy / Permissions-Policy)	IPA §3.10 / A05	✅ shipped — walk · demo
Open redirect	`LeanTea.Net.SafeRedirect` (allow-listed origin + relative-path-only mode + scheme reject + sibling-prefix reject)	IPA §3.9 / A01	✅ shipped — walk · demo
Invalid state transitions	`OrderState` / `Transition s s'` style proofs	—	🚧 planned

Snippet — `SafeQuery` rejects string-shaped SQL at compile time

-- ✅ Compiles — typed builders, positionally bound:
let rows ← SafeQuery.run users
  { where_ := .and (UserCols.email.eq "alice@x.com")
                   (.not (UserCols.deleted.eq true)) }

-- ❌ Compile error — `Where.eq` is `private` to SafeQuery.lean.
--   The framework gives no path from a raw String to a `Where` clause.
let bad := Where.eq "email" rawUserInput
-- error: Unknown constant `LeanTea.Persist.SafeQuery.Where.eq`

Snippet — `Auth.Proof` enforces the auth check in the type signature

-- The admin handler demands an unforgeable `Proof .admin`:
def handleAdminDelete (proof : Proof .admin) (req : Request) : IO Response := …

-- Removing the `proof` parameter breaks the route registration:
def handleAdminDelete (req : Request) : IO Response := …
-- error: Type mismatch in route registration
--   expected: Proof .admin → Request → IO Response
--   got:      Request → IO Response

The proof's mk is private to the auth module — only Proof.issue (which checks the session) can mint one. Forgetting the auth check is now a build failure, not a CVE.

For the full walk-through (capability lattice, dependent Proof (.owner id), the .trusted decl_name% audit-grep escape, the ~480-LOC trusted core across all eight primitives), see docs/11-secure-by-construction.md.

Layout

LeanTea/
├── Cmd.lean Sub.lean Runtime.lean    -- TUI Elm runtime
├── Web.lean Html.lean Css.lean Js.lean -- WebApp (Model/Msg/update/view) + DSLs
├── Template.lean                     -- {{var}} / {{#each}} / {{#if}} / {{#include}}
├── Rpc.lean JsonRpc.lean             -- Servant-style typed RPC + JSON-RPC envelope
├── Mcp.lean                          -- MCP Handler (stdio + HTTP transports)
├── Markdown.lean Markdown/           -- CommonMark-ish parser
├── Json/                             -- terse Json accessors (.getStrD etc.)
├── Net/
│   ├── Http.lean Server.lean         -- HTTP/1.1 server + Request/Response/Handler
│   ├── HttpClient.lean               -- pure-Lean HTTP/1.1 client
│   ├── WebSocket.lean                -- pure-Lean RFC 6455 client (handshake, masking)
│   ├── Desktop.lean Memcached.lean   -- OS desktop FFI, memcached client
├── Persist/
│   ├── Sqlite.lean Mysql.lean        -- backend FFI
│   ├── Store.lean Query.lean Backend.lean Migrate.lean -- Entity / Repo / migration
│   └── SafeQuery.lean                -- typed Where / Select / Update / Delete (no `String → SQL`)
├── Auth.lean                         -- session store
│   ├── OAuth2.lean Saml.lean Passkey.lean Security.lean
│   └── Proof.lean                    -- Capability + Proof.issue (Authorization)
├── Crypto/                           -- Base64 / SHA-1 / SHA-256 / HMAC / PBKDF2 / JWT
├── Browser.lean Comfy.lean Diffuse.lean -- 3rd-party tool bridges
├── Llm/Openai.lean                   -- streaming OpenAI-compatible client (LM Studio)
├── Agent/                            -- run history, replayable scripts
├── LSpec.lean                        -- tiny test runner (group / it / lspecIO)
└── assets/runtime.js styles.css      -- embedded client runtime

LeanJs/                               -- Lean-subset → JavaScript compiler
├── Ast.lean Parser.lean JsParser.lean
├── Check.lean                        -- arity + record-field guard
├── Codegen.lean Eval.lean LeanEmit.lean Includes.lean

c/
├── sqlite3.c sqlite3.h               -- SQLite amalgamation (vendored, ~9 MB)
├── leantea_sqlite.c                  -- SQLite FFI wrapper
├── leantea_mysql.c                   -- MySQL FFI (opt-in via LEANTEA_MYSQL=1)
├── leantea_crypto.c                  -- OpenSSL bindings (opt-in via LEANTEA_CRYPTO=1)
└── leantea_desktop.c                 -- macOS Quartz bindings (opt-in via LEANTEA_DESKTOP=1)

examples/
├── Counter/ Quiz/ CounterWeb/         -- TUI + browser TEA demos (~50 lines each)
├── Sheet/                             -- functional spreadsheet + /mcp (typed Rpc + Persist + Mcp)
├── Reversi/                           -- board game (.leanjs client, Lean server)
├── Gpu/                               -- WebGPU demo
├── ChromeCdpMcp/                      -- real-Chrome driver via CDP (10 tools)
├── BrowserMcp/ BrowserAgent/          -- Playwright-driven browser + LLM agent
├── ComfyuiMcp/                        -- ComfyUI HTTP/WebSocket driver
├── DesktopMcp/                        -- OS-level mouse + screenshot (macOS Quartz)
├── ImageMcp/                          -- HTML/CSS → PNG compositor
├── UiScript/ UiReport/                -- AI-driven E2E test runner + HTML report
├── Smoke/                             -- subsystem smoke tests (one per area)
├── Tests/                             -- LeanJs spec runner
├── Tools/                             -- gen_site + leanjs_{compile,interp,run} CLIs
└── Docs/                              -- runnable doc examples

tools/
├── dev.py                             -- file watcher + auto reload for the dev loop
├── browser-bridge/                    -- node + Playwright (used by BrowserMcp)
└── run-tests.sh run-docs.sh           -- CI entry points

Build and run

# Build everything (~3 min cold, seconds incrementally)
lake build

# In-browser counter (TEA in 50 lines)
./.lake/build/bin/counter_web --port 8001
open http://127.0.0.1:8001/

# Multi-user SVG editor + MCP endpoint at /mcp
./.lake/build/bin/sheet_serve --port 8002 --db ../.leantea-state/sheet.sqlite
open http://127.0.0.1:8002/

# Board game (Reversi) — client logic is a .leanjs file compiled at startup
./.lake/build/bin/reversi_serve --port 8005

# Chrome-CDP MCP server (drives your already-open Chrome)
# 1. Launch Chrome with: --remote-debugging-port=9222 --user-data-dir=/tmp/chrome-cdp
# 2. Then:
./.lake/build/bin/chrome_cdp_mcp_serve --stdio

Tests are organised into two consolidated LSpec runners plus a handful of subsystem smokes:

persist_spec — Store roundtrips + Query DSL + Migration runner + Auth.Proof dispatch + SafeQuery typed SQL (32 assertions, one binary, one CI step).
security_spec — SafeHtml + SafePath + SafeCmd + SafeHeader
- SafeRedirect construction-time guarantees (60 assertions, one binary, one CI step).
template_smoke / crypto_smoke / http_*_smoke — narrower per-module subsystem smokes that don't yet have an LSpec runner.

Read the runner source under examples/Tests/ as the shortest "this is what works" demonstration of any given area.

Architecture

[Browser]
  index.html  ←──── GET /, /styles.css, /runtime.js
  runtime.js  ──┐
                │ fetch('/api/step?msg=...', X-Model: <encoded>)
                ▼
[Lean: sheet_serve]
  Net.Server (Std.Internal.Async.TCP)
    ↓
  SheetServe.handler
    ├─ "/"                → render the toolbar + SVG host from Template
    ├─ "/cells"          → SVG fragment built from Persist.Store.shapes
    ├─ "/api/*"           → Rpc.dispatch (typed Endpoint records)
    ├─ "/mcp"  (POST)     → LeanTea.Mcp.handleMcp (text / image content)
    └─ everything else    → 404
[Lean: Persist.Store (SQLite via FFI)]
  shapes (id, kind, x, y, w, h, text, color, page_id)
  pages  (id, name)
  audit  (id, action, ts)

The client encodes the current Model in the X-Model header on every action; the server runs WebApp.step (pure) and ships the new model back the same way. SQLite is for things that need to outlive a restart (shape DB, sessions, audit). No middleware stack, no implicit context — every clause in handler is one function from a Request to a Response.

Persistent-style typed DB API

structure CellRow where
  kind  : String  -- "rect" / "ellipse" / "text" / "sticky" / "pen"
  x y   : Int
  w h   : Int
  text  : String
  color : String

instance : Entity CellRow where
  table   := "shapes"
  ddl     := "CREATE TABLE IF NOT EXISTS shapes(...)"
  columns := ["kind", "x", "y", "w", "h", "text", "color"]
  toRow s   := #[s.kind, toString s.x, ..., s.color]
  fromRow r := ...

-- Usage — SafeQuery makes SQL injection unrepresentable:
namespace CellCols
  open LeanTea.Persist.SafeQuery
  def kind : Col CellRow String := ⟨"kind"⟩
  def x    : Col CellRow Int    := ⟨"x"⟩
end CellCols

let shapes : Repo CellRow := Repo.new db
shapes.migrate
let _ ← shapes.insert { kind := "rect", x := 0, y := 0, w := 80, h := 40,
                        text := "hello", color := "#38bdf8" }
let rects ← SafeQuery.run shapes
  { where_ := .and (CellCols.kind.eq "rect")
                   (CellCols.x.gt 100) }

Where's value-leaf constructors are private to the SafeQuery module — there's no path from a raw String into a Where, so an LLM-generated Where.eq "email" userInput is a compile error.

Sheet app + MCP server

examples/Sheet/ is a small functional spreadsheet:

lake build sheet_serve
./.lake/build/bin/sheet_serve --port 8002 --db ../.leantea-state/sheet.sqlite
open http://127.0.0.1:8002/

SVG rendering for rect / ellipse / text / sticky / freehand pen
Click to select, drag to move, drag corner handles to resize, double-click for in-place text editing (foreignObject editor), separate ✏️ Pen tool, color picker and W / H inputs
State lives in SQLite (cells table)

MCP (Model Context Protocol) support

POST /mcp is a minimal JSON-RPC 2.0 endpoint so Claude or other clients can edit cells directly:

# handshake
curl -X POST http://127.0.0.1:8002/mcp \
  -H 'content-type: application/json' \
  -d '{"jsonrpc":"2.0","id":1,"method":"initialize"}'

# list tools
curl -X POST http://127.0.0.1:8002/mcp \
  -H 'content-type: application/json' \
  -d '{"jsonrpc":"2.0","id":2,"method":"tools/list"}'

# add a shape
curl -X POST http://127.0.0.1:8002/mcp \
  -H 'content-type: application/json' \
  -d '{"jsonrpc":"2.0","id":3,"method":"tools/call",
       "params":{"name":"set_cell",
                 "arguments":{"kind":"rect","x":100,"y":200,"text":"Hello"}}}'

Tools exposed:

add_shape(kind, x, y, w?, h?, text?, color?) → new id
move_cell(id, x, y), resize_shape(id, w, h)
set_text(id, text), set_color(id, color)
delete_shape(id), list_shapes(), clear_all()

When wiring this into Claude Desktop / Claude Code, point its MCP client at transport: "http", url: "http://localhost:8002/mcp".

Typed RPC (Servant-style)

Both the browser side and the server side read a single source of truth (examples/Sheet/Api.lean):

def setCell : Endpoint := {
  name := "apiSetCell", path := "/api/set", method := "POST",
  params := ["kind", "x", "y", "w", "h", "text", "color"],
  carrier := .form, output := .text
}

The server is wired via Rpc.chainWith SheetRpc.routes (fallback) to dispatch path + method to a typed Handler : List String → IO String. The browser gets the matching async function apiSetCell(ref, formula) auto-generated from Rpc.clientLib SheetRpc.all and prepended to the <script> block. Drop an endpoint here and both sides update together.

CSS / JS DSLs

Both CSS and JS are also small ASTs with a render step.

open LeanTea.Css in
def sheetStyles : Sheet := [
  rule ".btn" [("background", "#0284c7"), ("color", "#fff")],
  rule ".btn:hover" [("background", "#0369a1")],
  keyframes "ripple" [
    ("0%,100%", [("box-shadow", "0 0 0 8px rgba(239,68,68,0.25)")]),
    ("50%",     [("box-shadow", "0 0 0 12px rgba(239,68,68,0.2)")])
  ]
]

open LeanTea.Js LeanTea.Js.E LeanTea.Js.S LeanTea.Js.Dom in
def helloFn : Stmt :=
  afn "hello" [] [
    constV "btn" (getById "btn-hello"),
    doE (addEventListener (i "btn") "click"
      (aarrow [] [doE (await_ (call (i "alert") [s "hi"]))]))
  ]

Block.render produces compact (one-line) JavaScript — readable but not pretty. Used by LeanTea.Rpc.clientLib to emit the typed RPC client functions.

Google OAuth login

LeanTea.Auth is plugged into the example servers (sheet_serve, reversi_serve, …) and activates only when the environment variables below are set so local development is unaffected.

Variable	Required	Example
`GOOGLE_CLIENT_ID`	yes	`123-abc.apps.googleusercontent.com`
`GOOGLE_CLIENT_SECRET`	yes	`GOCSPX-...`
`BASE_URL`	yes	`https://your-app.fly.dev` (for redirect_uri)
`COOKIE_SECURE`	no	`1` to flag cookies `Secure` on HTTPS
`ALLOWED_EMAILS`	no	comma-separated email allowlist

When both *_ID and *_SECRET are present:

GET /auth/google/login → mints a CSRF state and 302-redirects to Google
GET /auth/google/callback?code=&state= → posts to Google's /token and /userinfo via curl(1), mints a session, sets an HttpOnly cookie
GET /auth/logout → drops the cookie and the DB row
/mcp and a few static asset paths are on a public allowlist
API paths under /api/* return 401 when unauthenticated; UI paths 302 to the login page
Sessions live in the sessions SQLite table, CSRF state in oauth_states

Google Cloud Console setup

Create an OAuth 2.0 Client ID (Web application) at https://console.cloud.google.com/apis/credentials.
Add ${BASE_URL}/auth/google/callback to "Authorized redirect URIs".
Approve email, profile, openid on the consent screen.

Push the secrets to Fly:

flyctl secrets set \
  GOOGLE_CLIENT_ID=… \
  GOOGLE_CLIENT_SECRET=… \
  BASE_URL=https://your-app.fly.dev \
  COOKIE_SECURE=1 \
  ALLOWED_EMAILS=you@example.com

Implementation notes

HTTPS calls to Google go through curl(1) (the Lean stdlib has no TLS). The runtime image already bundles curl.
Session tokens are 32 random bytes from /dev/urandom, hex-encoded (Auth.randomToken). Important: use IO.FS.Handle.mk + read 32 — IO.FS.readBinFile reads to EOF, and /dev/urandom never EOFs, so it spirals into an OOM. Caught the hard way.
Auth.gate cfg store publicPaths inner is a Handler → Handler wrapper. The inner handler is typed as Session → Handler so the logged-in user is available without leaking through globals.

Cloud deployment

Docker (works on any container host)

Dockerfile and fly.toml live at the repo root. The multi-stage build installs the Lean toolchain on Debian Bookworm, builds the binary, then copies just the binary into a slim runtime image (~170 MB).

docker build -t leantea-sheet .
docker run -d --name leantea \
    -p 8080:8080 \
    -v leantea_data:/data \
    leantea-sheet
open http://127.0.0.1:8080/

/data holds the SQLite file, so a container restart keeps history.

Fly.io (free tier)

The hobby tier is free for shared-cpu-1x × 3 machines (256 MB each) with up to 3 GB of persistent volume. auto_stop_machines is on, so machines park themselves when idle and there's a 10–20 s cold start on the next request — perfect for a personal app.

curl -L https://fly.io/install.sh | sh
flyctl auth login

flyctl launch --no-deploy          # picks app name + region
flyctl volumes create sheet_data --region nrt --size 1
flyctl deploy
flyctl open

Other options

Oracle Cloud Free Tier — Always-free ARM Ampere instances (4 vCPU, 24 GB RAM). SSH in and run the binary, or deploy the same Docker image.
Render — Free web service tier (sleeps after 15 min idle). Dockerfile works out of the box; persistent disk requires a paid plan.
Google Cloud Run — Pay-per-use, 2 M requests/month free. The Lean binary runs fine; persistence has to move to Firestore or Cloud SQL since the FS is ephemeral.

Development & testing

LeanTEA's testing story has three layers, by intent:

Layer	Tool	Purpose	Status
Type-level proofs (the negative space)	The compiler itself + `Proof of Authorization` + `SafeQuery`	"Could this auth bypass / SQL injection / XSS ever happen?" — answered statically. What the compiler proves, you don't have to test.	✅ shipped
Unit & smoke	`LeanTea.LSpec` — a tiny LSpec-shaped runner with `group` / `it` + tree output	Pure-function business logic, `update : Msg → Model → Model`, codec round-trips, render output. Used by every `examples/Smoke/*` binary.	✅ shipped
E2E (LLM-driven, exploratory)	`examples/UiScript` + `browser_mcp_serve`	Declarative JSON scripts (click → screenshot → LLM classify) that survive DOM refactors because the LLM reasons about intent. Pairs with `examples/BrowserAgent` for record-once / replay-many.	✅ shipped
E2E (typed, deterministic)	`LeanTea.WebSpec` (planned v0.2) — `do`-notation over `ChromeCdpMcp`	CI/CD regression tests with `group "login flow" [ it "rejects bad password" do … ]`. Same mental model as LSpec, but with `navigate` / `fill` / `click` / `expectText` primitives.	🚧 planned

What this means in practice:

Security tests don't exist in a LeanTEA codebase — the compiler already enforced the property. Your test suite is just the happy-path business logic, which is drastically smaller than the equivalent Rails / Django suite (most of which exists to assert "the framework didn't let this bad input through").
For UI regressions today, write a UiScript JSON and let the LLM drive it. For deterministic golden tests, wait for v0.2 or hand-roll the chrome_cdp_* calls in a smoke binary — the surface area is already there.

Dev loop

tools/dev.py is a tiny stdlib-only file watcher: it lake builds on save, restarts the dev server with DEV_MODE=1, and the page polls GET /_dev/ping once a second so the browser auto-reloads after a successful build.

python3 tools/dev.py --app sheet --port 8801

Community

Discord: https://discord.gg/94Xueve8WD — design discussion, weekly progress threads, beginner Q&A.
GitHub issues: bug reports + feature requests on this repo.
Roadmap & security model: ROADMAP.md + SECURITY.md.

License

c/sqlite3.c / c/sqlite3.h are public domain (https://www.sqlite.org/copyright.html). Everything else is MIT.

Name		Name	Last commit message	Last commit date
Latest commit History 74 Commits
.github/workflows		.github/workflows
LeanJs		LeanJs
LeanTea		LeanTea
bench-data		bench-data
bench		bench
c		c
docs		docs
examples		examples
tools		tools
.dockerignore		.dockerignore
.gitignore		.gitignore
Dockerfile		Dockerfile
LeanTea.lean		LeanTea.lean
README.md		README.md
ROADMAP.md		ROADMAP.md
SECURITY.md		SECURITY.md
TUTORIAL.md		TUTORIAL.md
fly.toml		fly.toml
lake-manifest.json		lake-manifest.json
lakefile.lean		lakefile.lean
lean-toolchain		lean-toolchain

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