IPARC
ILP-flavoured ARC (Abstraction and Reasoning Corpus) tasks, encoded as ILP problems. Each task requires learning a program that transforms a 2D grid of coloured cells. Tasks are grouped into six categories by difficulty and transformation type. 600 tasks total (100 per category).
Tasks: 6 categories × 100 tasks = 600 tasks (in <Category>/Task<NNN>/train/)
| Category | Description |
|---|---|
CatA_Simple |
Category A transformations, simple difficulty |
CatA_Hard |
Category A transformations, hard difficulty |
CatB_Selection |
Category B: select a subset of input cells for the output |
CatB_Iteration |
Category B: iterate over rows or columns to compute output |
CatB_Sequence |
Category B: sequential (multi-step) transformations |
CatB_Hard |
Category B transformations, hard difficulty |
Head relation: out(Ex, Row, Col, Value) — cell (Row, Col) in the output grid of example Ex has colour Value.
Background relations:
| Relation | Arity | Description |
|---|---|---|
in(Ex, Row, Col, Value) |
4 | Input grid: cell (Row, Col) in example Ex has colour Value |
empty(Ex, Row, Col) |
3 | Cell (Row, Col) is empty (colour 0) in the input of example Ex |
width(Ex, W) |
2 | Input grid of example Ex has width W |
height(Ex, H) |
2 | Input grid of example Ex has height H |
add(V1, V2, V3) |
3 | V3 = V1 + V2 (integer arithmetic) |
lt(V1, V2) |
2 | V1 < V2 |
my_succ(V1, V2) |
2 | V2 = V1 + 1 |
position_N/1 |
1 | Type-constant: value is position N (1–15) |
value_N/1 |
1 | Type-constant: value is colour/value N |
Source: Challa, A., Srinivasan, A., Bain, M., & Shroff, G. "A Program-Synthesis Challenge for ARC-Like Tasks." In Muggleton, S. & Tamaddoni-Nezhad, A. (eds.), ILP 2022, LNCS vol. 13779, pp. 25–39. Springer, 2022.