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Reasoning Core: Designing Broad Procedural Data for Completion-Supervised Reasoning Training

Research LLMs & Foundation Models

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TL;DR - Reasoning Core is an open library of 50 procedural problem generators (math, logic, planning, state tracking, formal languages, code, games, causality) built specifically as data for completion-supervised fine-tuning, and it outperforms existing procedural collections on reasoning benchmarks. It matters because it shows procedural data quality — not just volume or validity — drives downstream reasoning gains.

  • 50 generators ship with semantic scorers, difficulty controls, and task evaluators; library, generated datasets, and audit material are public.
  • Under a matched completion-supervised protocol across four base-model settings and multiple training durations, the primary 3B comparison gives Reasoning Core the highest mean scores on DROP, LogiQA, and ARC-Challenge, beating a no-procedural-data baseline plus Procedural Warmup, Reasoning Gym, and SynLogic.
  • Task-level analysis finds semantic validity alone doesn't guarantee training utility; compact targets and calibrated difficulty are highlighted as key design factors.
  • Audits combining model-assisted review, human adjudication, and regression testing exposed subtle mismatches among generation, rendering, targets, and scoring — in Reasoning Core and the comparison collections alike.

Sources (1)

Reasoning Core: Designing Broad Procedural Data for Completion-Supervised Reasoning Training

arXiv cs.CL Damien Sileo, Valentin Lacombe, Dimitri Kachler 2026-08-05 arXiv:2608.05148
Public signals Semantic Scholar citations 0 · Semantic Scholar influential citations 0
Providers: Hugging Face · N/A OpenAlex · N/A Publisher · N/A Semantic Scholar · Citations 0 · Influential citations 0 X · N/A Fetched 2026-08-26 14:37:03.631075 UTC

TL;DR - Reasoning Core is an open library of 50 procedural problem generators (math, logic, planning, state tracking, formal languages, code, games, causality) built specifically as data for completion-supervised fine-tuning, and it outperforms existing procedural collections on reasoning benchmarks. It matters because it shows procedural data quality — not just volume or validity — drives downstream reasoning gains.

  • 50 generators ship with semantic scorers, difficulty controls, and task evaluators; library, generated datasets, and audit material are public.
  • Under a matched completion-supervised protocol across four base-model settings and multiple training durations, the primary 3B comparison gives Reasoning Core the highest mean scores on DROP, LogiQA, and ARC-Challenge, beating a no-procedural-data baseline plus Procedural Warmup, Reasoning Gym, and SynLogic.
  • Task-level analysis finds semantic validity alone doesn't guarantee training utility; compact targets and calibrated difficulty are highlighted as key design factors.
  • Audits combining model-assisted review, human adjudication, and regression testing exposed subtle mismatches among generation, rendering, targets, and scoring — in Reasoning Core and the comparison collections alike.
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