sdma

A method for representing a software domain with clearly defined concepts, relationships, and rules. It can use formal mathematics to check whether models and protocols describe the same behaviour.

In plain words
What is it for?
Use it when designing domain models, ontological graphs, data schemas, or protocols that need formal comparison and verification.
Why use it?
It helps reveal unclear boundaries, inconsistent schemas, and mismatched protocol designs before they become code problems.

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

Made for: Claude Code, Codex.

Per session 89 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 5,523 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 $0.00089 $0.05523
Opus 5 $0.00044 $0.02762
Sonnet 5 $0.00018 $0.01105
Haiku 4.5 $0.00009 $0.00552

Measured 2d ago against content hash 72b4ca739d64, method: parsed. Prices are Anthropic first-party input rates as of 2026-08-30, from the pricing page.

Security

Grade A, and why

sdma 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 2d ago.

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/sdma/SKILL.md · 442 lines

How it starts

The opening of the file, as written. The whole thing — 442 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Structural Domain Modeling Atlas (SDMA)

Reference corpus — /form, /spec, boundary, engineering. This skill survives as the applied-methodology authority for formal domain modeling; the mandate to apply it is ambient, rooted in the workflows that invoke it as a lens. It is the form workflow's mathematical toolkit, the formalism-selection authority for spec's verification tier choices, and the structural vocabulary consulted by boundary and engineering. Where applicable, the formalisms in this atlas close conditions on the symbolic path of the Verification Dual (coalgebraic bisimulation, session-type checking, linear-type discipline) or supply the structural representation that the adversarial path reviews for coherence.

This skill provides the applied methodology for formal domain modeling. The mathematical foundations — SMC, Rosetta Stone, Curry-Howard, algebra/coalgebra duality — live in the formal-foundations skill (skills/formal-foundations/SKILL.md). This skill tells you how to wield them.

The SDMA covers what are arguably the most critical isomorphisms in computer science — the categorical, coalgebraic, linear, and information-theoretic bedrock. But it is a foundation, not a ceiling. The full landscape of mathematical formalism is available. The SDMA provides the root from which to reach for any relevant representation, guided by the principle of minimal representation: choose the simplest formalism that faithfully captures the domain's essential structure.


Part I — The Atlas

1. Functorial Data Migration in Practice

The formal definitions of schemas-as-categories and adjoint migration functors live in the formal-foundations skill. Here we focus on how to apply them.

Schema Design as Category Design

Treat every database schema as a small category S. This isn't metaphorical — it's a precise correspondence:

Read the full file on GitHub · 442 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. 2d ago First seen · 442 lines · 89 tokens per session scan A 72b4ca739d64

Subscribe to this mod's changes

sdma is a skill published in the GitHub repository nrdxp/predicate (10 stars, last pushed 8d ago), licensed MIT. It adds 89 tokens to every session and 5,523 once invoked, about $0.0004 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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