continuous-inverter

continuous-inverter is a skill for Codex from plurigrid/asi. It costs 0 tokens per session (619 once invoked), scanned A, original, MIT.

A Julia tool for checking the health of formal proof systems as code changes. It measures a spectral gap—a numerical signal used here to track proof-system health—across six theorem provers and creates GitHub Actions workflows for continuous checks.

In plain words
What is it for?
Use it to compare proof-system measurements before and after commits, analyze multiple provers in parallel, generate remediation suggestions, create GitHub Actions configuration, and view health trends.
Why use it?
It helps detect when a commit makes the proof system degrade and provides suggestions for addressing the change. This moves those checks into the normal CI/CD process, where CI/CD means automated tests and checks run for each code change.

Skill for Codex

Written for Codex: installed under .codex/.

Good fit Use it to compare proof-system measurements before and after commits, analyze multiple provers in parallel, generate remediation suggestions, create GitHub Actions configuration, and view health trends.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/plurigrid/asi/continuous-inverter
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 continuous-inverter
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 continuous-inverter

README.md
[![agentmods](https://agentmods.dev/badge/skills/plurigrid/asi/continuous-inverter/github.svg)](https://agentmods.dev/skills/plurigrid/asi/continuous-inverter)
Your own site
<a href="https://agentmods.dev/skills/plurigrid/asi/continuous-inverter"><img src="https://agentmods.dev/badge/skills/plurigrid/asi/continuous-inverter/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 continuous-inverter

Your own site · 80×15
<a href="https://agentmods.dev/skills/plurigrid/asi/continuous-inverter"><img src="https://agentmods.dev/badge/skills/plurigrid/asi/continuous-inverter.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 619 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.
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 $0.00619
Opus 5 $0.00000 $0.00309
Sonnet 5 $0.00000 $0.00124
Haiku 4.5 $0.00000 $0.00062

Measured 6d ago against content hash 90d47102bd47, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-09, from the pricing page.

Security

Grade A, and why

continuous-inverter 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/continuous-inverter/SKILL.md · 108 lines

How it starts

The opening of the file, as written. The whole thing — 108 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Continuous Inverter

Category: Real-Time Monitoring + CI/CD Type: Automated Measurement + Remediation Language: Julia Status: Production Ready Version: 1.0.0 Date: December 22, 2025

Overview

Real-time monitoring and automated remediation for proof system health. Runs on every commit to measure spectral gap across all 6 theorem provers in parallel, generates GitHub Actions CI/CD workflows, and provides automated suggestions when system health degrades.

Key Data Structures

struct CommitMetadata
    commit_hash::String
    timestamp::Float64
    author::String
    files_changed::Int
    gap_before::Dict{String, Float64}
    gap_after::Dict{String, Float64}
end

struct CommitAnalysis
    commits::Vector{CommitMetadata}
    trend::String
    violations::Int
    recommendation::String
end

Key Functions

  • analyze_commit(commit_hash): Measure gap before/after
  • check_all_provers(files): Parallel analysis across 6 provers
  • generate_remediation_suggestions(gap_before, gap_after): Automated advice
  • generate_ci_cd_template(): GitHub Actions workflow YAML
  • generate_monitoring_dashboard(): Trend visualization

Supported Provers

  • Dafny
  • Lean 4
  • Stellogen
  • Coq
  • Agda
  • Idris

Remediation Strategy

Alternating Möbius Weights for Resonance Patterns

When gap declines:

  1. Identify which prover degraded
  2. Run möbius_filter to find tangled paths
  3. Apply safe_rewriting recommendations
  4. Re-measure gap across all provers
  5. Deploy changes via CI/CD

Usage

using ContinuousInversion

# On every commit:
gap_after = compute_prover_gap(proofs)

# If gap < 0.25:
suggestions = suggest_remediation(prover, gap_before, gap_after)

# Generate CI/CD workflow:
yaml = generate_ci_cd_template()

Integration Points

  • GitHub Actions continuous deployment
  • Per-prover parallel checking
  • PR automation with gap status comments
  • Artifact upload for compliance tracking

Performance

Read the full file on GitHub · 108 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 · 108 lines · 0 tokens per session scan A 90d47102bd47

Subscribe to this mod's changes

continuous-inverter 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 619 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.

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