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.
npx skills add vasilyu1983/AI-Agents-public --skill foundations-reliability-theorygit clone --depth 1 https://github.com/vasilyu1983/AI-Agents-publicWrote 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.
[](https://agentmods.dev/skills/vasilyu1983/ai-agents-public/foundations-reliability-theory)<a href="https://agentmods.dev/skills/vasilyu1983/ai-agents-public/foundations-reliability-theory"><img src="https://agentmods.dev/badge/skills/vasilyu1983/ai-agents-public/foundations-reliability-theory/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.
<a href="https://agentmods.dev/skills/vasilyu1983/ai-agents-public/foundations-reliability-theory"><img src="https://agentmods.dev/badge/skills/vasilyu1983/ai-agents-public/foundations-reliability-theory.svg" alt="Reviewed on agentmods" width="80" height="20"></a>- NVIDIA SkillSpector pass
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.
| Model | Per session | Once invoked |
|---|---|---|
| Fable 5.1 | $0.00046 | $0.08887 |
| Opus 5 | $0.00023 | $0.04444 |
| Sonnet 5 | $0.00009 | $0.01777 |
| Haiku 4.5 | $0.00005 | $0.00889 |
Grade A, and why
foundations-reliability-theory 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 9d 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.
How it starts
The opening of the file, as written. The whole thing — 314 lines — stays where its author put it; the contents beside it link to each section on GitHub.
Reliability Theory Foundations
11 reliability theory primitives covering the mathematics of failure, availability, and repair. Each primitive is domain-agnostic: the same MTBF/MTTR arithmetic that governs hardware maintenance governs SLO budget calculation; the same fault tree that maps a safety system maps a payment pipeline's SPOF paths.
Contents
- Quick Reference
- Primitive Index
- Formal Supporting Theory
- Misuse Boundaries
- Anti-Patterns
- Decision Checklist
- Composition Recipes
- Expert Judgment: When the Math Lies
- Workflow
- ASCII Flow
- Navigation
- Related Skills
- Fact-Checking
Quick Reference
| # | Primitive | When to Reach for It |
|---|---|---|
| 1 | MTBF / MTTR | Measuring how often a system fails and how long it takes to recover |
| 2 | Availability Formulas | Converting MTBF/MTTR into a percentage; composing series and parallel components |
| 3 | Hazard Functions | Classifying current failure rate shape (constant / increasing / decreasing) |
| 4 | Bathtub Curve | Identifying the lifecycle phase (infant mortality / useful life / wear-out) |
| 5 | Fault Tree Analysis | Tracing a top event backwards to root causes; finding single points of failure |
| 6 | FMEA | Enumerating failure modes bottom-up and ranking by RPN before launch |
| 7 | Redundancy Math | Sizing active/standby/k-of-n redundancy; checking coverage sensitivity |
| 8 | Error Budgets | Deriving SRE error budget from SLO; computing multi-window burn rate |
| 9 | Weibull Analysis | Fitting lifetime data to a distribution; estimating B10 life and phase |
| 10 | System Reliability | Combining component reliabilities through series/parallel/mixed topologies |
| 11 | Reliability Allocation | Apportioning a system reliability target to subsystems |
What ships with it
20 files 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.
- agents/openai.yaml 396 B
- assets/templates/reliability-theory/01-mtbf-mttr.md 5.5 KB
- assets/templates/reliability-theory/02-availability-formulas.md 4.2 KB
- assets/templates/reliability-theory/03-hazard-functions.md 4.0 KB
- assets/templates/reliability-theory/04-bathtub-curve.md 5.2 KB
- assets/templates/reliability-theory/05-fault-tree-analysis.md 6.7 KB
- assets/templates/reliability-theory/06-fmea.md 6.1 KB
- assets/templates/reliability-theory/07-redundancy-math.md 6.7 KB
- assets/templates/reliability-theory/08-error-budgets.md 6.1 KB
- assets/templates/reliability-theory/09-weibull-analysis.md 6.2 KB
- assets/templates/reliability-theory/10-system-reliability.md 5.5 KB
- assets/templates/reliability-theory/11-reliability-allocation.md 5.4 KB
- assets/templates/reliability-theory/README.md 4.7 KB
- data/sources.json 30 KB
- learnings.consolidated.md 606 B
- learnings.md 415 B
- references/ai-agent-reliability.md 14 KB
- references/formal-theory-map.md 3.7 KB
- references/patterns-scenarios-traps.md 5.7 KB
- references/primitives-overview.md 9.4 KB
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.
- 9d ago First seen · 314 lines · 46 tokens per session scan A 74c7ca3d1346
foundations-reliability-theory is a skill published in the GitHub repository vasilyu1983/AI-Agents-public (87 stars, last pushed 10d ago), licensed MIT. It adds 46 tokens to every session and 8,887 once invoked, about $0.0002 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 2026-09-03.
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