Pith Number

pith:6RWM4CRE

pith:2025:6RWM4CREIAGOOO32TBWUTJ2Z2V

not attested not anchored not stored refs pending

Polynomial Invariant Generation for Floating-Point Programs

Hongfei Fu, Liqian Chen, Xuran Cai

A framework combines round-off error analysis with polynomial constraint solving to generate tight invariants for floating-point programs.

arxiv:2507.15017 v4 · 2025-07-20 · cs.PL

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\pithnumber{6RWM4CREIAGOOO32TBWUTJ2Z2V}

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Our contribution is a novel framework for applying polynomial constraint solving to address the invariant generation problem, which is also the first polynomial constraint solving based approach that handles floating-point errors to our best knowledge.

C2weakest assumption

The combination of round-off error analysis and polynomial constraint solving can circumvent the cost of handling a large number of error variables in the floating-point model without losing tightness of the generated invariants.

C3one line summary

A framework merges round-off error analysis and polynomial constraint solving to generate tight invariants for floating-point programs and outperforms prior methods on benchmarks.

Receipt and verification

First computed	2026-06-03T01:05:05.163142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f46cce0a24400ce73b7a986d49a759d5459ff2fe1bb6e57c99a453beaf183f17

Aliases

arxiv: 2507.15017 · arxiv_version: 2507.15017v4 · doi: 10.48550/arxiv.2507.15017 · pith_short_12: 6RWM4CREIAGO · pith_short_16: 6RWM4CREIAGOOO32 · pith_short_8: 6RWM4CRE

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6RWM4CREIAGOOO32TBWUTJ2Z2V \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f46cce0a24400ce73b7a986d49a759d5459ff2fe1bb6e57c99a453beaf183f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6ae3fde9c95b6095db1790798eac621ba8d23290b4a1e062b0bb3fb7380afec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2025-07-20T16:02:17Z",
    "title_canon_sha256": "a389fe8efe9755d0b6cc992ac1582f87e71d954d601207e1b4cf1198079df70c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15017",
    "kind": "arxiv",
    "version": 4
  }
}