---
language: en
license: mit
task_categories:
- text-generation
tags:
- eleusis
- inductive-reasoning
- long-horizon
- verifiers
- card-game
size_categories:
- 1K<n<10K
---

# Eleusis Scaled Bank (v3, concept-balanced)

A 1,660-rule bank for the [Eleusis](https://huggingface.co/datasets/nph4rd/eleusis-calibrated)
long-horizon inductive-reasoning environment. Schema matches the default Eleusis
convention: `train` / `test` splits with columns `rule_id`, `label`, `family`, `code`.

## Diversity model

Diversity here means distinct DISCOVERY PROBLEMS, not just distinct rule strings.
Every item belongs to a concept (a template skeleton); the test split is capped
at a handful of instances per concept so it measures breadth of induction, while
the train split keeps all instances (parameter variation prevents answer
memorization during training).

- `test` (218): ~150 distinct concepts - 36 hand-authored new concepts plus
  <=2 instances per legacy concept.
- `train` (1,442): full instance pool including easy anchors and deep items.

## The 14 new hand-authored concepts

Designed against measured GLM-5.2 difficulty ladders (482 episodes) to target
the 26-70 solve-turn band, exploiting what measurably makes this model struggle:
sparse-evidence constraints, hidden state, cross-lag relations, asymmetric gating.

| concept | idea |
|---|---|
| dual_window_agreement | consistent with both lag-1 and lag-2 ranks |
| cross_lag_sandwich | match attribute A two back, differ on B one back |
| streak_cap | never K consecutive accepted cards sharing an attribute |
| bounded_color_discrepancy | running red/black counter with a lead bound |
| rank_momentum_zigzag | rank deltas must alternate in sign |
| event_trigger | constraint fires only after face cards |
| rank_scarcity_window | no rank repeats within w accepted cards |
| alternation_escape_hatch | color alternation with a rare escape hatch |
| midpoint_corridor | rank near the mean of the last two ranks |
| positional_roles | slot index dictates which constraint applies |
| suit_keyed_monotone | monotone only within the same suit |
| cross_lag_disjunction | OR between a lag-1 and a lag-3 fact |
| event_flip_state | each event flips which value is acceptable |
| count_latch | after N reds, reds are banned |

## Construction & validation

Sources: combinatorial template grids aimed at measured ladder positions,
single-knob mutations of 283 measured parent skeletons, unpublished earlier
candidates, and the hand-authored concepts above. All rows pass restricted-AST
compilation, starter existence, acceptance-rate bounds (trajectory simulation
for history-dependent rules), and behavioral uniqueness via deterministic probe
signatures against every published Eleusis bank.

## Caveats

**No item in this dataset has been evaluated on any reference model yet.**
Difficulty priors are approximate (parent/template inheritance; observed GLM-5.2
single-deal scatter is +/-12 turns with occasional solve/abandon flips). A final
frozen-protocol evaluation is planned to measure aggregate and per-item behavior
before benchmark use. Lineage: `construction_metadata.jsonl`.