| { |
| "schema_version": 1, |
| "title": "Reproduction: Context-free Recognition with Transformers", |
| "emoji": "🧩", |
| "space_id": "snaykey/repro-gp-thompson-sampling-regret-bayesian-optimization", |
| "paper": { |
| "openreview_id": "JOyxs9ElI7" |
| }, |
| "tags": [ |
| "icml2026-repro", |
| "paper-JOyxs9ElI7" |
| ], |
| "updated_at": "2026-07-31T00:00:00+00:00", |
| "root": { |
| "slug": "index", |
| "title": "Reproduction: Context-free Recognition with Transformers", |
| "file": "pages/index.md", |
| "children": [ |
| { |
| "slug": "claim-1-theorem-3-1-general-cfl", |
| "title": "Theorem 3.1 proves that all context-free languages can be recognized by looped transformers using O(log(n)) looping layers and O(n^6) padding tokens (Section 3, Theorem 3.1).", |
| "file": "pages/claim-1-theorem-3-1-general-cfl/page.md", |
| "children": [] |
| }, |
| { |
| "slug": "claim-2-theorem-4-1-unambiguous", |
| "title": "Theorem 4.1 shows unambiguous context-free languages can be recognized with fewer resources than the general case: O(log^2(n)) looping layers and O(n^3) padding tokens (Section 4, Theorem 4.1).", |
| "file": "pages/claim-2-theorem-4-1-unambiguous/page.md", |
| "children": [] |
| }, |
| { |
| "slug": "claim-3-theorem-4-2-linear", |
| "title": "Theorem 4.2 further reduces requirements for unambiguous linear context-free languages to O(log(n)) looping layers and O(n^2) padding tokens by exploiting the linearity constraint (Section 4.2, Theorem 4.2).", |
| "file": "pages/claim-3-theorem-4-2-linear/page.md", |
| "children": [] |
| }, |
| { |
| "slug": "claim-4-lemma-4-1-pebbling", |
| "title": "Lemma 4.1 shows that Boolean formula evaluation can be computed in O(log(n)) steps via a parallel pebbling argument, which underlies the padding-token constructions used in the main theorems (Section 4, Lemma 4.1).", |
| "file": "pages/claim-4-lemma-4-1-pebbling/page.md", |
| "children": [] |
| }, |
| { |
| "slug": "claim-5-corollary-4-1-bfvp", |
| "title": "Corollary 4.1 shows that Boolean Formula Value Problem (BFVP) recognition requires zero padding tokens while retaining logarithmic depth (Section 4, Corollary 4.1).", |
| "file": "pages/claim-5-corollary-4-1-bfvp/page.md", |
| "children": [] |
| }, |
| { |
| "slug": "claim-6-table-1-tradeoff", |
| "title": "Table 1 summarizes the padding-versus-depth tradeoff across general, unambiguous, and linear-unambiguous context-free language classes, showing that grammatical restrictions systematically reduce required padding (Table 1).", |
| "file": "pages/claim-6-table-1-tradeoff/page.md", |
| "children": [] |
| }, |
| { |
| "slug": "executive-summary", |
| "title": "executive-summary", |
| "file": "pages/executive-summary/page.md", |
| "children": [] |
| }, |
| { |
| "slug": "conclusion", |
| "title": "conclusion", |
| "file": "pages/conclusion/page.md", |
| "children": [] |
| } |
| ] |
| } |
| } |
