agda-mcp
This server provides an MCP interface for interactive theorem proving and program verification with Agda, supporting module loading, typechecking, goal inspection, code transformations, expression evaluation, and asynchronous job management.
Session & Workspace Management: Load and typecheck
.agda,.lagda,.lagda.mdfiles; manage multiple independent Agda sessions with dynamic workspace selection.Goal Inspection: Retrieve current goals, inspect types and local contexts (single or batched), list constraints, and query metavariables.
Code Transformations: Preview or atomically apply case splits, refinements, and proof-search (auto) with SHA-256 fingerprint verification to prevent race conditions.
Expression Tools: Normalize expressions and infer types in top-level or goal-local scopes.
Asynchronous Operations: Long-running tasks return job handles; await, check status, cancel, or list jobs for non-blocking interaction.
Configuration & Robustness: Highly configurable via environment variables and per-call overrides (timeout, async mode, apply policy, etc.); includes rollback on failed application, output truncation reporting, and server info introspection.
Click on "Install Server".
Wait a few minutes for the server to deploy. Once ready, it will show a "Started" state.
In the chat, type
@followed by the MCP server name and your instructions, e.g., "@agda-mcptype check src/Main.agda"
That's it! The server will respond to your query, and you can continue using it as needed.
Here is a step-by-step guide with screenshots.
agda-mcp
agda-mcp is a standalone MCP server for Agda's JSON
interaction protocol. It keeps one long-lived agda --interaction-json
process per active workspace and supports on-disk .agda, .lagda, and
.lagda.md modules.
The server exposes normalized, transport-independent results while retaining
bounded metadata about Agda's native responses in a raw field. Native events
are available on request. Case split, refine, and auto are non-mutating by
default. An explicit apply: true, or starting the server with
--apply-edits, atomically writes the guarded proposal and typechecks it in the
same operation.
End-to-end example
Suppose /workspace/Example.agda contains:
module Example where
data Bool : Set where
true : Bool
false : Bool
not : Bool → Bool
not x = ?An agent can take the file from one hole to two case-specific holes as follows.
Responses below are abbreviated to their normalized data; opaque handles and
the source fingerprint must be reused exactly as returned. This example assumes
the server was started with --dynamic-workspaces, allowing the first call to
select /workspace without per-project server configuration.
# 1. Load and typecheck the top-level module.
agda_load_module({
"modulePath": "/workspace/Example.agda",
"workspaceRoot": "/workspace",
"includeRaw": false
})
→ data.workspace = "workspace_…"
# 2. Retrieve the current goals (the load response includes them too).
agda_retrieve_goals({
"workspace": "workspace_…",
"includeRaw": false
})
→ data.goals[0] = { "handle": "goal_…", "type": "Bool", … }
# 3. Inspect the selected goal's local context.
agda_retrieve_context({
"goal": "goal_…",
"includeRaw": false
})
→ data = {
"goal": "goal_…",
"goalType": "Bool",
"context": [{ "reifiedName": "x", "type": "Bool", "inScope": true }]
}
# 4. Ask Agda for a non-mutating case-split preview.
agda_case_split({
"goal": "goal_…",
"variables": "x",
"includeRaw": false
})
→ data.edits[0] = {
"file": "/workspace/Example.agda",
"range": <exact UTF-16 range covering `not x = ?`>,
"replacement": "not true = ?\nnot false = ?",
"expectedSourceFingerprint": "…"
}
# 5. Client filesystem action — not an agda-mcp tool:
# verify the file's SHA-256 fingerprint, then replace precisely the returned
# range with the returned replacement text.
# 6. Reload the edited file and obtain fresh goal handles.
agda_typecheck({
"workspace": "workspace_…",
"includeRaw": false
})
→ data.checked = true
→ data.goals = [{ "handle": "goal_…", … }, { "handle": "goal_…", … }]For a refinement, use agda_refine in step 4 with an expression; it returns
the same fingerprinted edits shape and follows the same apply-then-typecheck
flow. Preview operations reload canonical Agda state before returning, so only
goal handles from the latest response should be used.
For the faster compound forms, set includeContexts: true on step 1 to receive
the goals and every goal context with the load result. Set apply: true on
step 4—or enable --apply-edits once for the server—to have it perform steps 5
and 6 as one guarded transaction:
agda_case_split({ "goal": "goal_…", "variables": "x", "apply": true })
→ data.applied = true
→ data.checked = true
→ data.goals = <fresh handles from the edited module>The preview flow remains the safe startup default and is useful when the client wants to inspect or revise the proposal before changing the file.
Related MCP server: agda-mcp-server
Requirements
Node.js 22 or newer
Agda installed separately and available as
agda, or configured explicitlyAgda 2.8.0 for the currently verified protocol adapter
Other Agda versions start in unverified compatibility mode. The server does
not bundle Agda or the standard library.
Installation and use
Install the CLI globally:
npm install --global agda-mcp
agda-mcp --helpOr run it without a global installation:
npx -y agda-mcp
# equivalent:
npm exec --yes agda-mcpThe default command starts an MCP stdio server. Stdout is reserved exclusively for MCP framing; operational diagnostics use stderr.
During MCP initialization the server publishes concise instructions that
teach the client the core workflow: inspect effective policy, load an absolute
module and optional request-selected workspace, prefer compound context
retrieval, reuse only fresh opaque goal handles, and distinguish preview from
guarded apply/typecheck transformations. The complete instruction block fits
within the self-contained 512-character prefix recommended for Codex
tool-selection guidance.
A generic model-selected workspace configuration looks like this:
{
"mcpServers": {
"agda": {
"command": "npx",
"args": ["-y", "agda-mcp", "--dynamic-workspaces"]
}
}
}The server is installed once. The model then selects an active workspace on its first load instead of requiring a separate client entry for each project:
agda_load_module({
"modulePath": "/absolute/path/to/project/Main.agda",
"workspaceRoot": "/absolute/path/to/project"
})Both paths must exist and be absolute. The server resolves symlinks, requires
the module to remain within the selected root, discovers the nearest
.agda-lib, and lazily starts or reuses that project's long-lived Agda
process. agda_server_info reports this mode as
capabilities.workspaceSelection: "request".
--dynamic-workspaces deliberately broadens the directories that MCP calls
can target to anything accessible to the server process. Only enable it for a
trusted local model/client. Without the flag, a supplied workspaceRoot must
exactly match a configured root. The server otherwise uses MCP filesystem
roots when the client publishes them, falling back to its working directory.
The restricted configuration remains available when a fixed allowlist is
preferred:
{
"command": "npx",
"args": ["-y", "agda-mcp"],
"env": {
"AGDA_MCP_OPTIONS": "{\"workspaceRoots\":[\"/absolute/path/to/project\"]}"
}
}Enable in-place transformations
Start the server with --apply-edits to make case split, refine, and auto
write their proposed source changes and immediately typecheck them by default:
agda-mcp --apply-edits
# or
npx -y agda-mcp --apply-editsFor an MCP client configuration, add the flag to the command arguments:
{
"command": "npx",
"args": ["-y", "agda-mcp", "--apply-edits"]
}It composes with runtime workspace selection:
npx -y agda-mcp --dynamic-workspaces --apply-editsClients that configure the server through the environment can equivalently set
"applyEditsByDefault": true inside AGDA_MCP_OPTIONS. The command-line flag
wins over an environment value. agda_server_info reports the effective mode
as capabilities.transformationDefault.
This mode does not permit arbitrary writes: only edits proposed by Agda for the
currently loaded, fingerprint-matching source are eligible. A particular tool
call can still request apply: false to obtain a non-mutating preview.
Configuration
Initialization policy is supplied as a JSON object in AGDA_MCP_OPTIONS.
Unknown fields and invalid limits are rejected before an Agda process starts.
Option | Meaning | Default |
| Executable name or path resolved at server startup |
|
| Allowed absolute roots for direct module targets | MCP roots or cwd |
| Allow a load request to select a root outside |
|
| Extra project-relative include paths |
|
| Additional registered Agda libraries |
|
| Alternate Agda libraries file | Agda default |
| Extra |
|
| Per-workspace include/library/flag overrides |
|
| Load and restoration command timeout |
|
| Read/query command timeout |
|
| Case split/refine/auto timeout |
|
| Compatibility umbrella and installation-probe timeout |
|
| Maximum running plus queued calls per workspace |
|
| Soft native-event return budget per command |
|
| Soft captured-stderr return budget |
|
| Hard aggregate child-output limit |
|
| Permit |
|
| Grace period before escalating an aborted command |
|
| Installation-probe timeout |
|
| Installation-probe output buffer |
|
| Random bytes per workspace/goal/job handle (min |
|
|
|
|
| How long a tool call may block before deferring to a job |
|
| Ceiling on a single |
|
| How long an uncollected finished job is kept |
|
| Maximum concurrently tracked jobs |
|
| Heartbeat for |
|
| Ship Agda's native event log |
|
| Maximum goals one batched request may resolve |
|
| Apply/typecheck transformations when |
|
Non-blocking operation
Typechecking a large development can take minutes, and holding the MCP request open for that whole time stalls the calling agent completely.
Slow calls defer by default so one expensive load does not hold an agent turn
open indefinitely. A call that outruns deferAfterMs returns a job handle
instead of blocking:
{
"status": "pending",
"job": { "id": "job_...", "tool": "agda_load_module", "state": "running", "elapsedMs": 1000 },
"guidance": "Agda is still working ... call agda_job_await with job \"job_...\""
}Agda keeps working in the background while the caller is free to do something
else, and the result is collected later with agda_job_await. Calls that
finish inside the window return their result inline, exactly as before, so
fast operations are unchanged.
asyncMode controls the policy: auto (default) defers only calls slower than
deferAfterMs, never always blocks until Agda finishes, and always defers
every call. Set async: false on one call, or configure asyncMode: "never",
when a client requires the legacy fully synchronous behavior.
Per-call overrides
The transport supports these per-call fields; the tool-specific ones are accepted only where indicated. Policy fields shadow configured values for one call only:
Field | Meaning |
| Agda command timeout for this call |
| Defer window for this call, capped by |
|
|
| Include Agda's native event log (see below) |
|
|
|
|
| Transformation tools only: override server policy ( |
{ "modulePath": "/src/Slow.agda", "timeoutMs": 600000, "async": true }The cap on deferAfterMs is deliberate: a per-call value can shorten the
window but can never reintroduce unbounded blocking.
Progress and completion notices
While a request is open the server emits notifications/progress every
progressIntervalMs, provided the client supplied a progress token. When any
job settles it also emits a notifications/message log line. Neither can wake
an agent mid-turn — MCP has no such mechanism — but they surface activity in
clients that display progress or server logs.
When work is fanned out across several workspaces, agda_job_await_any waits
once for whichever job finishes first instead of polling each id in turn.
A deferred job is deliberately detached from the request that created it —
the transport closing that request does not cancel the Agda work. Use
agda_job_cancel to abandon a job.
When only the legacy commandTimeoutMs is supplied, it applies to all three
operation categories. Specific timeout fields override it.
The nearest ancestor .agda-lib inside the selected workspace supplies
project includes, dependencies, and flags. Configuration is merged
deterministically with global and workspace overrides. Direct source targets
must remain inside the selected workspace after canonical path resolution;
without --dynamic-workspaces, that selected root must also be configured.
Registered imports may live elsewhere.
Tools
Tool | Purpose |
| Report Agda discovery, compatibility, capabilities, and sessions |
| Select a workspace and load/typecheck one top-level module |
| Reload/typecheck the active workspace module |
| Retrieve current visible goals and opaque handles |
| Retrieve a goal type, local context, and boundary |
| Retrieve contexts for several goals in one round trip |
| Retrieve current constraints |
| Preview case-split clauses, or apply and typecheck them |
| Preview a refinement/introduction, or apply and typecheck it |
| Preview proof search, or apply and typecheck its solution |
| Normalize in top-level or goal-local scope |
| Infer a type in top-level or goal-local scope |
| Query visible and backend-published invisible metas |
| Collect a pending job's result, waiting up to |
| Wait for the FIRST of several jobs to finish |
| Report a job's state without waiting |
| Abort a pending job |
| List jobs still running or awaiting collection |
agda_load_module returns an opaque workspace handle. Goal-producing results
return opaque goal handles bound to the module path, revision, source
fingerprint, interaction point, and range. Reloading, recovering, switching
modules, or completing any transformation preview invalidates older goal
handles.
Expression tools require exactly one of workspace or goal. Input schemas
are strict, so contradictory selectors and unknown properties fail before
reaching Agda.
Response size
Agda's native event log is the largest part of most responses, so it is omitted
by default. The raw field instead contains a summary — eventsOmitted,
eventCount, byte counts, completeness, and stderr — so truncation stays
detectable:
{ "adapter": "agda-2.8.0", "eventsOmitted": true, "eventCount": 7,
"capturedBytes": 812, "totalBytes": 812, "stderr": { "chunks": [] } }Set includeRaw: true for a call that needs the native event sequence, or set
includeRawByDefault: true to restore it globally. A per-call value always
wins over the server default.
MCP content contains only a compact human-readable summary. The complete
normalized result is sent once in structuredContent, avoiding the previous
cost of serializing and transmitting the same large object twice.
diagnosticsOnly: true further drops goals and invisibleMetavariables from
a load or typecheck, leaving the verdict and diagnostics — useful for the common
"did it compile?" question.
Batched goal contexts
For the common load-and-inspect path, includeContexts: true on
agda_load_module or agda_typecheck retrieves every newly returned goal
context in that same operation. It uses the same bounded aggregation policy as
the explicit batch tool below.
agda_retrieve_contexts takes a list of goal handles and returns one entry per
goal, in request order:
{ "requested": 3, "succeeded": 2, "failed": 1,
"contexts": [ { "goal": "goal_...", "ok": true, "context": { "goalType": "Bool", "context": [] } },
{ "goal": "goal_bad", "ok": false, "error": { "code": "STALE_GOAL_HANDLE" } } ] }Agda still processes the goals one at a time — the interaction process is single-threaded — but the caller pays for one round trip instead of N.
A batch is limited to maxBatchGoals goals. Only failures attributable to one
goal — a stale handle, or a command Agda rejected, timed out on, or answered
too voluminously — become that goal's entry. Anything describing the session or
the batch (SOURCE_CHANGED, NO_ACTIVE_MODULE, UNKNOWN_WORKSPACE, a dead
process, a cancellation) aborts the whole call, because the remaining goals
could not be answered either.
The returned raw merges every command that ran and is re-truncated against a
single rawResponseLimitBytes budget, so a batch cannot build a response
larger than one command may. The combined omittedSha256 covers each source
transcript's own omission digest followed by every event the merge dropped.
Transformation previews and guarded direct edits
Case split, refine, and auto select their behavior from the per-call apply
value when present, otherwise from the server policy. With the default policy
or apply: false, they use the non-mutating preview transaction:
Validate the goal handle and loaded source fingerprint.
Ask Agda for a proposal.
Recheck the file fingerprint.
Map the native response to
TextEditvalues against the immutable snapshot.Reload the active module before returning, even when the proposal is rejected.
Return fresh restored goals and separate operation/restore transcripts.
Each edit carries its absolute file path, exact UTF-16 range, replacement text,
and expected SHA-256 source fingerprint. Clients should verify that fingerprint
before applying an edit, then call agda_typecheck. If restoration fails, the
server terminates and invalidates the session and returns no safe proposal.
With apply: true, or when --apply-edits supplies that default, the server
verifies the proposal targets the active module and fingerprint, rechecks the
source immediately before writing, replaces the file atomically, and
reloads/typechecks it once. The result reports applied, checked,
diagnostics, the new source fingerprint, and fresh goal handles.
If the canonical reload itself fails, the server attempts a fingerprint-guarded
rollback and refuses that rollback when the edited fingerprint no longer
matches. Changes detected during proposal generation or immediately before an
atomic replacement are rejected. File mutation is therefore opt-in per
transformation call or server startup, while preview remains available as an
explicit override.
An ordinary Agda type error is a completed result (checked: false), so the
applied source remains on disk and its diagnostics are returned for the caller
to address; rollback is reserved for failures that prevent a trustworthy
canonical result.
Literate prose and code delimiters are excluded from editable code regions.
An ambiguous or cross-region proposal fails with UNSUPPORTED_EDIT_SHAPE.
Output limits and recovery
raw retains complete native JSON events up to the soft response budget. When
the budget is exceeded, normalized data still returns with byte counts, omitted
event count, and an omission digest. Stderr has an independent soft budget.
Crossing the hard aggregate limit aborts the command with
OUTPUT_LIMIT_EXCEEDED.
Workspace calls are FIFO; different workspaces progress concurrently. Active cancellation first asks Agda to abort and terminates it after a bounded grace period. After an unexpected exit, old handles are revoked. The next workspace operation starts a fresh process and reloads only if the source fingerprint is unchanged.
Upgrading Agda
After installing or switching Agda, restart the MCP server. On every server
start it resolves agda again and reprobes the exact version, Agda application
directory, and data directory; it does not cache installation or library
locations across runs.
That restart is sufficient when the new version still speaks the supported
interaction protocol. Agda 2.8.0 is verified. A different detected version is
reported as unverified and uses the 2.8.0 adapter conservatively. If a
required command or response shape changed, the affected call returns
UNSUPPORTED_AGDA_PROTOCOL with native evidence. Upgrade agda-mcp to a
version containing an adapter for that Agda release (or contribute one) before
relying on those operations.
Development
npm ci
npm run typecheck
npm test
npm run test:fuzz
npm run test:integration
npm run build
npm run smoke
npm run test:package
npm pack --dry-runThe deterministic fuzz campaign combines grammar-aware properties, arbitrary
protocol bytes, recorded-corpus mutation, Unicode range/edit properties, strict
schema properties, and queue-policy properties. Defaults are 1,000 cases per
property and 5,000 corpus mutations. Longer campaigns can be configured with
AGDA_MCP_PROPERTY_RUNS, AGDA_MCP_FUZZ_RUNS, and AGDA_MCP_FUZZ_SEED.
Releasing
Subsequent releases are published to npm and GitHub by
.github/workflows/release.yml. Before using the workflow for the first time,
configure the agda-mcp package on npmjs.com with this trusted publisher:
Provider: GitHub Actions
Organization or user:
peterthiemannRepository:
agda-mcpWorkflow filename:
release.ymlEnvironment: none
Allowed action:
npm publish
No npm token or GitHub Actions secret is required. The workflow uses a short-lived OpenID Connect credential and npm automatically records provenance for the public package.
For a release, update package.json and package-lock.json to the intended
version, commit and push that change, then push an annotated tag named
release-X.Y or release-X.Y.Z. The two-part form is normalized to X.Y.0;
the resulting version must match package.json exactly. For example:
npm version 0.3.0 --no-git-tag-version
git add package.json package-lock.json
git commit -m "Release 0.3.0"
git push
git tag -a release-0.3.0 -m "Release 0.3.0"
git push origin release-0.3.0The tag workflow validates the version, installs from the lockfile, runs the
typecheck and complete test suite, builds and smoke-tests the executable, packs
the exact tarball, publishes that tarball to npm through trusted publishing,
and finally creates the GitHub release with the tarball and its SHA-256 file.
Merely changing or pushing the workflow does not publish a package; only a new
matching release-* tag triggers it. npm versions are immutable, so verify the
version before pushing the tag.
Genesis and Codex involvement
This project began as a design dialogue between the project maintainer and OpenAI Codex, operating as a GPT-5-based coding agent. The maintainer set the goals and made the consequential design choices: a standalone TypeScript server, one long-lived Agda interaction process per workspace, a transport-independent application API with stdio first, support for all three on-disk Agda source formats, opaque goal handles, normalized responses retaining native events, and non-mutating transformation previews with mandatory reload.
Codex turned that dialogue into the initial design and implementation plan, then implemented the repository in reviewed checkpoints. Its work included the protocol codec and streaming parser, process/session management, the twelve MCP tools, literate-source edit planning, recovery and packaging, documentation, and the unit, integration, property-based, mutation-fuzz, live-Agda, and MCP stdio tests. Codex also staged, committed, pushed, and followed the CI results under the maintainer's explicit repository authorization. The maintainer remained the project owner and decision-maker throughout; this history records substantial AI-assisted design and implementation, not an OpenAI endorsement of the software.
Design and license
Maintenance
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