form

A workflow for building formal mathematical models of a subject, such as its possible states and how they change. It helps turn an informal description into a structure that can be checked and connected to later verification.

In plain words
What is it for?
Use it to model domains, protocols, state machines, and other specifications before verifying them. It covers identifying the structure, choosing a formalism, constructing and checking the model, and recording how it relates to other models.
Why use it?
It reduces ambiguity in specifications that are difficult to reason about in ordinary prose. The workflow also guides the choice of the simplest mathematical method that still represents the subject accurately.

Skill for Claude CodeCodex

Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

agentmods
npx agentmods add skills/nrdxp/predicate/form
Any agent
npx skills add nrdxp/predicate --skill form
Clone the repo
git clone --depth 1 https://github.com/nrdxp/predicate

Made for: Claude Code, Codex.

Per session 70 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 2,605 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. Scan, not verified.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5 $0.00070 $0.02605
Opus 5 $0.00035 $0.01303
Sonnet 5 $0.00014 $0.00521
Haiku 4.5 $0.00007 $0.00261

Measured yesterday against content hash 93138d2848f2, method: parsed. Prices are Anthropic first-party input rates as of 2026-08-30, from the pricing page.

Security

Grade A, and why

form scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured yesterday.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

skills/form/SKILL.md · 261 lines

How it starts

The opening of the file, as written. The whole thing — 261 lines — stays where its author put it; the contents beside it link to each section on GitHub.

FORM Protocol v2.0 (Control-Theoretic Modeling)

Identify → Select → Construct → Validate → Record → Connect

This workflow defines the C.O.R.E. Modeling phase. The objective is to define the formal structural representation of a domain, establishing the state space, transition relationships, and coalgebraic dynamics. This serves as the structural foundation from which normative constraints and test invariants are derived.


Philosophy

Formal models are the bridge between empirical observations and proof. An olog, a coalgebra, a session type specification — each makes implicit relationships explicit and mathematically verifiable. Without formal models, sequence trajectories are guided by anthropomorphic verbal descriptions that cannot be checked or formally composed.

FORM provides the procedure for constructing these structural representations. The sdma skill defines a foundational toolkit of categorical, coalgebraic, and information-theoretic isomorphisms. The principle of minimal representation governs selection: choose the simplest mathematical formalism that faithfully captures the domain's structure, and use it to map the state space for subsequent verification loops.


Scope

[!IMPORTANT] FORM produces formal model documents — either creating new ones from templates/MODEL.md or scrutinizing existing documents (protocol specs, whitepapers, design docs) through the SDMA lens. It is structural analysis, not planning, exploration, or implementation: strategic planning and exploration are the standing Planning Invariants and Sketch Principle, and implementation is /core. If you find yourself writing code or redesigning architecture, you've left FORM territory.


Dual-Mode Operation

MODEL operates in two modes, determined by context:

Create Mode

Trigger: No existing document specified. The human requests a formal model for a domain or problem.

Read the full file on GitHub · 261 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. yesterday First seen · 261 lines · 70 tokens per session scan A 93138d2848f2

Subscribe to this mod's changes

form is a skill published in the GitHub repository nrdxp/predicate (10 stars, last pushed 8d ago), licensed MIT. It adds 70 tokens to every session and 2,605 once invoked, about $0.0003 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-31.

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