formal-verification-ai

formal-verification-ai is a skill for Codex from plurigrid/asi. It costs 0 tokens per session (608 once invoked), scanned A, original, MIT.

A set of methods for checking whether an AI system meets stated correctness properties. It includes theorem proving, certified numerical bounds, and checks that composed parts preserve correctness.

In plain words
What is it for?
Use it to prove AI properties, calculate certified output ranges, check compositional rules, and verify robustness claims.
Why use it?
It helps identify or prove limits on an AI system’s behavior instead of relying only on tests. The description also includes checks for robustness against adversarial inputs.

Skill for Codex

Written for Codex: installed under .codex/.

Good fit Use it to prove AI properties, calculate certified output ranges, check compositional rules, and verify robustness claims.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/plurigrid/asi/formal-verification-ai
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.

Any agent
npx skills add plurigrid/asi --skill formal-verification-ai
Clone the repo
git clone --depth 1 https://github.com/plurigrid/asi

Made for: Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for formal-verification-ai

README.md
[![agentmods](https://agentmods.dev/badge/skills/plurigrid/asi/formal-verification-ai/github.svg)](https://agentmods.dev/skills/plurigrid/asi/formal-verification-ai)
Your own site
<a href="https://agentmods.dev/skills/plurigrid/asi/formal-verification-ai"><img src="https://agentmods.dev/badge/skills/plurigrid/asi/formal-verification-ai/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for formal-verification-ai

Your own site · 80×15
<a href="https://agentmods.dev/skills/plurigrid/asi/formal-verification-ai"><img src="https://agentmods.dev/badge/skills/plurigrid/asi/formal-verification-ai.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 0 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 608 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • NVIDIA SkillSpector pass 7 Sept 2026
How audits are shown
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 5.1 $0.00000 $0.00608
Opus 5 $0.00000 $0.00304
Sonnet 5 $0.00000 $0.00122
Haiku 4.5 $0.00000 $0.00061

Measured 6d ago against content hash 1b00fe1ee656, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-09, from the pricing page.

Security

Grade A, and why

formal-verification-ai 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 6d 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.

ies/music-topos/.codex/skills/formal-verification-ai/SKILL.md · 80 lines

How it starts

The opening of the file, as written. The whole thing — 80 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Formal Verification AI

Category: Phase 3 Core - Correctness Guarantees Status: Skeleton Implementation Dependencies: categorical-composition (correctness as functoriality)

Overview

Integrates formal verification methods with AI systems: theorem proving for correctness guarantees, interval arithmetic for certified bounds, and categorical proofs for compositional correctness.

Capabilities

  • Theorem Proving: Automated verification of AI properties
  • Interval Arithmetic: Certified bounds on network outputs
  • Categorical Correctness: Functorial preservation guarantees
  • Adversarial Robustness: Verified defense certificates

Core Components

  1. Theorem Prover Interface (theorem_proving.jl)

    • Integration with Z3, Lean, or Coq
    • Encode neural networks as logical formulas
    • Automated proof search
  2. Interval Arithmetic (interval_arithmetic.jl)

    • Interval propagation through networks
    • Certified bounds on outputs
    • Robustness verification
  3. Categorical Proofs (categorical_correctness.jl)

    • Verify functor laws for compositional networks
    • Natural transformation diagrams
    • Commutativity checking
  4. Verification Examples (verification_examples.jl)

    • Adversarial robustness proofs
    • Fairness guarantees
    • Safety-critical system verification

Integration Points

  • Input from: All Phase 3 skills (provides verification layer)
  • Output to: categorical-composition (verified transformations)
  • Coordinates with: oriented-simplicial-networks (topological invariants)

Usage

using FormalVerificationAI

# Define neural network
network = SimpleNN([Dense(10, 20, relu), Dense(20, 2)])

# Verify robustness using interval arithmetic
input_interval = Interval([0.0, 0.0], [1.0, 1.0])
output_bounds = propagate_intervals(network, input_interval)

# Prove categorical correctness
F = network_to_functor(network)
@assert verify_functor_laws(F)

# Automated theorem proving
property = "∀x. ||x - x'|| < ε ⟹ ||f(x) - f(x')|| < δ"
proof = prove_property(network, property, timeout=60)

Read the full file on GitHub · 80 lines

Files

What ships with it

1 file beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

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. 6d ago First seen · 80 lines · 0 tokens per session scan A 1b00fe1ee656

Subscribe to this mod's changes

formal-verification-ai is a skill published in the GitHub repository plurigrid/asi (62 stars, last pushed 2mo ago), licensed MIT. It costs nothing until one of its globs matches a file; then it loads 608 tokens. 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 2026-09-03.

Related

Other skills, from other repositories

research-engineer

An uncompromising Academic Research Engineer. Operates with absolute scientific rigor, objective criticism, and zero flair. Focuses on theoretical correctness, formal verification, and optimal implementation across any required technology.

davila7/claude-code-templates · 43 tokens

tika-eval-compare

Compare extracts from two Tika builds over a corpus to detect regressions in content, encoding, exceptions, and embedded-document handling. Use for "compare before/after extracts", "eval this change against the corpus".

apache/tika · 50 tokens

neuron-evaluation-engineer

Create and run AI evaluations with datasets, assertions, and output drivers in Neuron AI. Use this skill whenever the user mentions evaluation, testing AI systems, creating evaluators, dataset-driven testing, assertion-based validation, or wants to measure AI system performance. Also trigger for tasks involving…

neuron-core/neuron-ai · 77 tokens

jetson-validate-image

Use after jetson-flash-image to run static BSP checks, on-target smoke/regression tests on a flashed DUT, or both. Not for build or flash steps. Triggers: validate bsp, on-target validation.

NVIDIA/skills · 50 tokens

atmos-validation

Validate Atmos projects, components, arbitrary JSON Schema inputs, EditorConfig, and GitHub Actions; use affected-file selection and native CI annotations.

cloudposse/atmos · 31 tokens

skill-benchmark

Benchmark AI skill effectiveness by measuring implementation quality against legacy constraints.

HoangNguyen0403/agent-skills-standard · 16 tokens