| { |
| "name": "LeanWordBench", |
| "version": "0.1.0-anonymous", |
| "description": "Family-level release manifest for the LeanWordBench algebraic word-problem benchmark.", |
| "license_default": "CC-BY-4.0 for newly generated benchmark instances; third-party assets retain their original licenses.", |
| "families": [ |
| { |
| "id": "free_group_word", |
| "name": "Free-group word", |
| "regime": "balanced_decidable", |
| "certificate": "cancellation trace", |
| "dataset": "RL_Framework/datasets/free_group_word/free_group_word.txt", |
| "config": "RL_Framework/configs/free_group_word/ppo_free_group_word.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from free-group cancellation semantics." |
| }, |
| { |
| "id": "path_raag_word", |
| "name": "Path-RAAG word", |
| "regime": "balanced_decidable", |
| "certificate": "commutation and cancellation trace", |
| "dataset": "RL_Framework/datasets/raag/raag_path_word.txt", |
| "config": "RL_Framework/configs/raag/ppo_raag.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from path right-angled Artin group commutation graphs." |
| }, |
| { |
| "id": "graph_product_word", |
| "name": "Graph-product word", |
| "regime": "balanced_decidable", |
| "certificate": "graph-product normal-form trace", |
| "dataset": "RL_Framework/datasets/graph_product_word/graph_product_word.txt", |
| "config": "RL_Framework/configs/graph_product_word/ppo_graph_product_word.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from graph-product normal-form semantics." |
| }, |
| { |
| "id": "small_overlap_monoid_word", |
| "name": "Small-overlap monoid word", |
| "regime": "balanced_decidable", |
| "certificate": "monoid relation trace", |
| "dataset": "RL_Framework/datasets/small_overlap_monoid_word/small_overlap_monoid_word.txt", |
| "config": "RL_Framework/configs/small_overlap_monoid_word/ppo_small_overlap_monoid_word.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from small-overlap monoid presentations." |
| }, |
| { |
| "id": "groebner_reduction", |
| "name": "Gröbner normal form", |
| "regime": "all_yes_constructive", |
| "certificate": "ideal reduction trace or normal-form remainder", |
| "dataset": "RL_Framework/datasets/groebner_reduction/symbolicdata_2var_train_1k.txt", |
| "config": "RL_Framework/configs/groebner_reduction/ppo_groebner_reduction_symbolicdata_2var.yaml", |
| "license": "generated rows with SymbolicData provenance notes; verify release terms before public redistribution", |
| "provenance": "Generated from exact rational Gröbner reduction systems derived from SymbolicData-style sources." |
| }, |
| { |
| "id": "baumslag_solitar_bs12", |
| "name": "Baumslag-Solitar BS(1,2)", |
| "regime": "balanced_decidable", |
| "certificate": "local rewrite trace", |
| "dataset": "RL_Framework/datasets/baumslag_solitar_bs12/baumslag_solitar_bs12.txt", |
| "config": "RL_Framework/configs/baumslag_solitar_bs12/ppo_baumslag_solitar_bs12.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from the standard BS(1,2) presentation." |
| }, |
| { |
| "id": "braid_word_rewrite", |
| "name": "Braid word rewriting", |
| "regime": "balanced_decidable", |
| "certificate": "Artin rewrite trace", |
| "dataset": "RL_Framework/datasets/braid_word_rewrite/braid_word_rewrite.txt", |
| "config": "RL_Framework/configs/braid_word_rewrite/ppo_braid_word_rewrite.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from Artin braid relations." |
| }, |
| { |
| "id": "coxeter_a_rewrite", |
| "name": "Coxeter type-A rewriting", |
| "regime": "balanced_decidable", |
| "certificate": "Coxeter rewrite trace", |
| "dataset": "RL_Framework/datasets/coxeter_a_rewrite/coxeter_a_rewrite.txt", |
| "config": "RL_Framework/configs/coxeter_a_rewrite/ppo_coxeter_a_rewrite.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from type-A Coxeter relations." |
| }, |
| { |
| "id": "heisenberg_collection", |
| "name": "Heisenberg collection", |
| "regime": "balanced_decidable", |
| "certificate": "collection trace", |
| "dataset": "RL_Framework/datasets/heisenberg_collection/heisenberg_collection.txt", |
| "config": "RL_Framework/configs/heisenberg_collection/ppo_heisenberg_collection.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from discrete Heisenberg collection rules." |
| }, |
| { |
| "id": "kbmag_rewriting", |
| "name": "KBMAG-style rewriting", |
| "regime": "all_yes_constructive", |
| "certificate": "convergent rewrite trace", |
| "dataset": "RL_Framework/datasets/kbmag_rewriting/kbmag_rewriting.txt", |
| "config": "RL_Framework/configs/kbmag_rewriting/ppo_kbmag_rewriting.yaml", |
| "license": "new generated rows; KBMAG/GAP code not vendored unless GPL obligations are followed", |
| "provenance": "Generated from small convergent rewrite systems." |
| }, |
| { |
| "id": "small_cancellation_word", |
| "name": "Small-cancellation word", |
| "regime": "balanced_decidable", |
| "certificate": "Dehn reduction trace", |
| "dataset": "RL_Framework/datasets/small_cancellation_word/small_cancellation_word.txt", |
| "config": "RL_Framework/configs/small_cancellation/ppo_small_cancellation.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from small-cancellation presentations and Dehn reductions." |
| }, |
| { |
| "id": "free_group_conjugacy", |
| "name": "Free-group conjugacy", |
| "regime": "balanced_decidable", |
| "certificate": "conjugator witness", |
| "dataset": "RL_Framework/datasets/conjugacy/free_group_conjugacy.txt", |
| "config": "RL_Framework/configs/conjugacy/ppo_conjugacy.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated by sampling conjugators and exact NO checks." |
| }, |
| { |
| "id": "subgroup_membership", |
| "name": "Free-group subgroup membership", |
| "regime": "balanced_decidable", |
| "certificate": "subgroup expression witness", |
| "dataset": "RL_Framework/datasets/subgroup_membership/free_group_subgroup_membership.txt", |
| "config": "RL_Framework/configs/subgroup_membership/ppo_subgroup_membership.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from sampled subgroup generators and exact membership checks." |
| }, |
| { |
| "id": "makanin_word_equations", |
| "name": "Word equations", |
| "regime": "balanced_decidable", |
| "certificate": "substitution witness", |
| "dataset": "RL_Framework/datasets/makanin_word_equations/makanin_word_equations.txt", |
| "config": "RL_Framework/configs/makanin_word_equations/ppo_makanin_word_equations.yaml", |
| "license": "generated templates plus optional SMT-LIB/StringFuzz rows with compatible metadata", |
| "provenance": "Generated from word-equation templates and string-solver benchmark conventions." |
| }, |
| { |
| "id": "whitehead_orbit", |
| "name": "Whitehead orbit", |
| "regime": "balanced_decidable", |
| "certificate": "Whitehead automorphism trace", |
| "dataset": "RL_Framework/datasets/whitehead_witness/whitehead_free_group.txt", |
| "config": "RL_Framework/configs/whitehead_witness/ppo_whitehead_witness.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from finite Whitehead automorphism libraries." |
| }, |
| { |
| "id": "burau_matrix_equality", |
| "name": "Burau matrix equality", |
| "regime": "balanced_decidable", |
| "certificate": "exact matrix equality check", |
| "dataset": "RL_Framework/datasets/burau_b4_search/burau_matrix_equality.txt", |
| "config": "RL_Framework/configs/burau_b4_search/ppo_burau_b4_search.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from exact reduced Burau matrix evaluation." |
| }, |
| { |
| "id": "finite_permutation_action", |
| "name": "Finite permutation action", |
| "regime": "balanced_decidable", |
| "certificate": "generator action trace", |
| "dataset": "RL_Framework/datasets/finite_permutation_action/finite_permutation_action.txt", |
| "config": "RL_Framework/configs/finite_permutation_action/ppo_finite_permutation_action.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from finite permutation transition systems." |
| }, |
| { |
| "id": "knot_equivalence", |
| "name": "Knot equivalence", |
| "regime": "all_yes_constructive", |
| "certificate": "diagram move trace", |
| "dataset": "RL_Framework/datasets/knot_equivalence/regina_1k_n10_len64.txt", |
| "config": "RL_Framework/configs/knot_equivalence/ppo_knot_equivalence_regina.yaml", |
| "license": "generated rows with Regina/knot-resource provenance; preserve third-party notices where applicable", |
| "provenance": "Generated from exact move traces over knot diagram encodings." |
| }, |
| { |
| "id": "rubiks_cube", |
| "name": "Rubik's cube planning", |
| "regime": "all_yes_constructive", |
| "certificate": "cube move trace", |
| "dataset": "RL_Framework/datasets/rubiks_cube/rubiks_cube.txt", |
| "config": "RL_Framework/configs/rubiks_cube/ppo_rubiks_cube_cube20.yaml", |
| "license": "new generated rows; cite DeepCubeA/Cube20 as planning precedent if conventions are reused", |
| "provenance": "Generated by applying exact outer face turns." |
| }, |
| { |
| "id": "thompson_f_search", |
| "name": "Thompson-F solve-from-scramble", |
| "regime": "all_yes_constructive", |
| "certificate": "generator-word trace", |
| "dataset": "RL_Framework/datasets/thompson_f_search/thompson_f_search.txt", |
| "config": "RL_Framework/configs/thompson_f_search/ppo_thompson_f_search.yaml", |
| "license": "new WordBench generated data, CC-BY-4.0", |
| "provenance": "Generated from tree-pair multiplication and inverse traces." |
| }, |
| { |
| "id": "andrews_curtis", |
| "name": "Andrews-Curtis trivialization", |
| "regime": "frontier_discovery", |
| "certificate": "AC move trace or obstruction", |
| "dataset": "RL_Framework/datasets/ac/ms_1190.txt", |
| "config": "RL_Framework/configs/ac/ppo_ac_apples_1190.yaml", |
| "license": "AC-Solver/Miller-Schupp provenance; include MIT notice if redistributing adapted rows/code", |
| "provenance": "Miller-Schupp frontier presentations in the AC-Solver line." |
| }, |
| { |
| "id": "burau_b4_collision", |
| "name": "Burau B4 collision search", |
| "regime": "frontier_discovery", |
| "certificate": "verified distinct braid pair with equal Burau matrices", |
| "dataset": "RL_Framework/datasets/burau_b4_collision/burau_b4_collision_family.txt", |
| "config": "RL_Framework/configs/burau_b4_collision/ppo_burau_b4_collision.yaml", |
| "license": "new WordBench generated seed data, CC-BY-4.0", |
| "provenance": "Generated non-collision seeds for open-ended B4 collision discovery." |
| }, |
| { |
| "id": "kaplansky_group_rings", |
| "name": "Kaplansky group rings", |
| "regime": "frontier_or_constructive_witness", |
| "certificate": "group-ring unit or zero-divisor witness", |
| "dataset": "RL_Framework/datasets/kaplansky_group_rings/promislow_gardam_units_1k.txt", |
| "config": "RL_Framework/configs/kaplansky_group_rings/ppo_kaplansky_group_rings_promislow.yaml", |
| "license": "Gardam/Soelberg provenance; preserve third-party notices and release actions from external manifests", |
| "provenance": "Generated/imported from exact group-ring unit and SAT artifact sources." |
| } |
| ] |
| } |
|
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