axiom-mode

axiom-mode is a skill for Claude Code, Codex from OutlineDriven/odin-gemini-cli-extension. It costs 57 tokens per session (1,037 once invoked), scanned A, a copy of axiom-mode, Apache-2.0.

A compact writing mode for conversations that expresses claims in formal-logic style and uses shortened ASCII keywords.

In plain words
What is it for?
It helps write code explanations, conditions, and correctness statements in a compact formal style.
Why use it?
It keeps technical answers precise and brief when normal prose is too long or ambiguous.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Good fit It helps write code explanations, conditions, and correctness statements in a compact formal style.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/outlinedriven/odin-gemini-cli-extension/axiom-mode
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 OutlineDriven/odin-gemini-cli-extension --skill axiom-mode
Clone the repo
git clone --depth 1 https://github.com/OutlineDriven/odin-gemini-cli-extension

Made for: Claude Code, 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 axiom-mode

README.md
[![agentmods](https://agentmods.dev/badge/skills/outlinedriven/odin-gemini-cli-extension/axiom-mode/github.svg)](https://agentmods.dev/skills/outlinedriven/odin-gemini-cli-extension/axiom-mode)
Your own site
<a href="https://agentmods.dev/skills/outlinedriven/odin-gemini-cli-extension/axiom-mode"><img src="https://agentmods.dev/badge/skills/outlinedriven/odin-gemini-cli-extension/axiom-mode/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 axiom-mode

Your own site · 80×15
<a href="https://agentmods.dev/skills/outlinedriven/odin-gemini-cli-extension/axiom-mode"><img src="https://agentmods.dev/badge/skills/outlinedriven/odin-gemini-cli-extension/axiom-mode.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 57 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 1,037 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 94% copy Near-identical to another mod 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 $0.00057 $0.01037
Opus 5 $0.00028 $0.00518
Sonnet 5 $0.00011 $0.00207
Haiku 4.5 $0.00006 $0.00104

Measured 11d ago against content hash c9dadbb69778, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-10, from the pricing page.

Security

Grade A, and why

axiom-mode 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 11d 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.

Origin

This is a copy

94% identical to axiom-mode — 110 lines differ, which has more behind it and is treated as the original. This page carries a canonical link to it rather than competing with it.

skills/axiom-mode/SKILL.md · 103 lines

How it starts

The opening of the file, as written. The whole thing — 103 lines — stays where its author put it; the contents beside it link to each section on GitHub.

axiom-mode register

DEF Compacted Formal-logic English: ASCII-only register WHERE logical connectives are shortened-English keywords AND structural framing follows predicate-calculus / Hoare-triple conventions.

When to invoke

  • User requests axiom-mode register: "axiom", "axiom-mode", "axiom-compact", "formal-logic", or "compact form".
  • Coding sessions WHERE precision-under-compression is preferred over prose ergonomics.
  • Long sessions WHERE token budget pressures further turns AND user wants formal-logic claim form (NOT just compaction).

Once active, persist for every subsequent response until user signals "stop axiom-mode" or "normal mode".

Vocabulary contract

ALLOWED: A-Z, a-z, 0-9, hyphens, spaces, standard sentence punctuation (period, comma, colon, semicolon, parentheses, brackets, quotes).

FORBIDDEN unicode logic glyphs (do NOT emit the literal Unicode characters): the universal-quantifier glyph, existential-quantifier glyph, logical-and glyph, logical-or glyph, logical-not glyph, material-implication glyph, biconditional glyph, equivalence glyph, syntactic-turnstile glyph, semantic-turnstile glyph.

FORBIDDEN operator-shortcuts in prose: fat-arrow, double-ampersand, double-pipe, bang-as-logical-not, less-than-equals-greater-than-equivalence, bang-equals, colon-equals, double-equals. Same characters inside fenced code blocks at runtime are exempt; code is preserved verbatim.

USE keywords: IMPLIES, AND, OR, NOT, IFF, XOR, FORALL, EXISTS, THEREFORE, GIVEN, ASSUME, IF, THEN, ELSE, WHEN, UNLESS, PRE, POST, INVARIANT, DEF, LET, WHERE, LEMMA, THEOREM, QED, CASE, MUST, SHALL, MAY, CANNOT.

CompactAxiomEnglish register

DEF CompactAxiomEnglish: controlled-subset English WHERE ceremonial filler IS removed AND predicate-form structure IS preserved AND technical terms ARE kept verbatim.

FORBIDDEN constructions

  • Filler adverbs: just, really, basically, actually, simply, essentially.
  • Pleasantry openers: Sure, Of course, Happy to, Let me.
  • Hedging phrases: I think, it might be, it would seem, perhaps we could.
  • Restated context the user already supplied.
  • Narrative meta-commentary: Now I will read the file, Next, let me check.
  • Redundant clauses: collapse "the issue that is occurring is caused by" to "the issue is caused by".

Read the full file on GitHub · 103 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. 11d ago First seen · 103 lines · 57 tokens per session scan A c9dadbb69778

Subscribe to this mod's changes

axiom-mode is a skill published in the GitHub repository OutlineDriven/odin-gemini-cli-extension (5 stars, last pushed 2mo ago), licensed Apache-2.0. It adds 57 tokens to every session and 1,037 once invoked, about $0.0003 per session on Opus 5. A static security scan graded it A with 0 findings. It is 94% identical to axiom-mode, differing in 110 lines, and is treated as a copy.

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