Datasets:
File size: 11,923 Bytes
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"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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