float-axiom-fixes

float-axiom-fixes is a cursor rule for Cursor from briangmilnes/APAS-VERUS. It costs 570 tokens per session, scanned A, original, MIT.

A strategy for verifying graph algorithms that use floating-point numbers such as f32 or f64. It provides rules for ordering and checking finite values, but not for proving floating-point arithmetic.

In plain words
What is it for?
Use it when working on verified shortest-path algorithms such as Dijkstra, Bellman-Ford, Johnson, or all-pairs results with floating-point data.
Why use it?
It clarifies which floating-point claims the verification system can support and which require additional reasoning.

Cursor rule for Cursor

Written for Cursor: installed under .cursor/.

Good fit Use it when working on verified shortest-path algorithms such as Dijkstra, Bellman-Ford, Johnson, or all-pairs results with floating-point data.

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Install with agentmods
npx agentmods add rules/briangmilnes/apas-verus/float-axiom-fixes
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.

Clone the repo
git clone --depth 1 https://github.com/briangmilnes/APAS-VERUS

Made for: Cursor.

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 float-axiom-fixes

README.md
[![agentmods](https://agentmods.dev/badge/rules/briangmilnes/apas-verus/float-axiom-fixes.svg)](https://agentmods.dev/rules/briangmilnes/apas-verus/float-axiom-fixes)
Your own site
<a href="https://agentmods.dev/rules/briangmilnes/apas-verus/float-axiom-fixes"><img src="https://agentmods.dev/badge/rules/briangmilnes/apas-verus/float-axiom-fixes.svg" alt="Measured on agentmods" height="20"></a>
Per session 570 This file is loaded in full into every session.
When invoked 570 The same file — it is already loaded in full.
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 $0.00570 $0.00570
Opus 5 $0.00285 $0.00285
Sonnet 5 $0.00114 $0.00114
Haiku 4.5 $0.00057 $0.00057

Measured 7d ago against content hash 061bce9795a5, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-07, from the pricing page.

Security

Grade A, and why

float-axiom-fixes 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 7d 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.

.cursor/rules/apas-verus/float-axiom-fixes.mdc · 51 lines

What it actually says

Float Axiom Fixes

Context

Chap56-59 have duplicated Float/I64 file pairs for graph algorithms (SSSP results, Dijkstra, Bellman-Ford, Johnson). The Float files are entirely external_body or outside verus! — no verification at all. The I64 files are partly or fully verified.

vstdplus/float.rs Provides

  • FloatTotalOrder trait for f64/f32: reflexive, antisymmetric, transitive, totality
  • float_wf(x) = is_finite_spec() (excludes NaN and infinity)
  • le(self, other) via uninterpreted le_ensures
  • Exec float_cmp returning Ordering
  • Broadcast group group_float_finite_total_order

What It Does NOT Provide

  • No arithmetic axioms (no a + b reasoning for f64)
  • No axioms for OrderedFloat<f64> (external crate wrapper)

Strategy: Easiest First

  1. SSSPResultStEphFloat.rs — No float arithmetic, just stores/retrieves OrderedF64 values. The I64 version is already verified. Main challenge: bridging OrderedFloat<f64> to f64 axioms.
  2. SSSPResultStPerFloat.rs — Same pattern, persistent variant.
  3. AllPairsResult*Float.rs — Same pattern, matrix of distances.
  4. DijkstraStEphFloat.rs — Needs float addition axioms (dist + weight).
  5. BellmanFordStEphFloat.rs — Needs float addition axioms.
  6. Johnson*Float.rs — Depends on Dijkstra + BellmanFord.

Key Challenge: OrderedFloat

The Float files use OrderedFloat<f64> from the ordered_float crate for Eq + Ord + Hash. Options to bridge to Verus:

  • (a) Switch stored type to raw f64, use FloatTotalOrder::float_cmp for comparisons
  • (b) Write #[verifier::external_type_specification] for OrderedFloat<f64>

Algorithm Files Need New Axioms

Dijkstra, Bellman-Ford, Johnson all do dist.0 + weight.0 — float addition. This requires axioms not yet in vstdplus/float.rs:

  • Finite + finite = finite (when no overflow)
  • Monotonicity: a <= b ==> a + c <= b + c (for finite values)
  • Identity: a + 0.0 = a
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. 7d ago First seen · 51 lines · 570 tokens per session scan A 061bce9795a5

Subscribe to this mod's changes

float-axiom-fixes is a cursor rule published in the GitHub repository briangmilnes/APAS-VERUS (10 stars, last pushed 1mo ago), licensed MIT. It adds 570 tokens to every session, about $0.0029 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.