{ "source_commit": "fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb", "configs_scanned": 416, "configs_with_definition_holes": 10, "definition_hole_entries": 65, "entries": [ { "config": "lean/ComparatorChallenges/Brenier.json", "challenge_module": "ComparatorChallenges.Brenier", "solution_module": "OAI.Analysis.Brenier.Stability", "definition_names": [ "OAI.Problem358.E", "OAI.Problem358.uniformMeasure", "OAI.Problem358.IsSupported", "OAI.Problem358.IsCoupling", "OAI.Problem358.quadraticPlanCost", "OAI.Problem358.wasserstein2", "OAI.Problem358.graphPlan", "OAI.Problem358.IsQuadraticOptimalMap", "OAI.Problem358.IsUniqueQuadraticOptimalMap", "OAI.Problem358.mapL2Dist", "OAI.Problem358.cube", "OAI.Problem358.HasExactlyThreeAtoms" ], "theorem_names": [ "OAI.Problem358.one_third_stability", "OAI.Problem358.one_third_exponent_is_sharp" ], "semantic_review_status": "selected_source_definitions_compared", "kernel_check_status": "not_run", "family_id": "374", "definition_reviews": [ { "name": "OAI.Problem358.E", "observation": "Finite-dimensional real Euclidean space; the public theorem requires d>=2.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.Problem358.uniformMeasure", "observation": "Volume restricted to the body and normalized by inverse volume. 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B=0 for injective starts belongs to the existence theorem; the separate uniform implementation has unrestricted finite B.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" } ], "reviewed_source_files": [ { "path": "lean/ComparatorChallenges/KServer.json", "sha256": "e1d596679fa3adb7bc8be4d09c8e8219602df6a15ca0d8610989ae0021ad1dee" }, { "path": "lean/ComparatorChallenges/KServer.lean", "sha256": "e6ae7349a69c21a8466e6c8e02fe5572dba7ea9eaece17133041d1c2495daa6f" }, { "path": "lean/OAI/Combinatorics/KServer/Basic.lean", "sha256": "1b809bcf2b48b373766be41f4c907f343ebef67af92233c61e4fb0052b2878a3" }, { "path": "lean/docs/110.md", "sha256": "398ad379c334661bdba0c43c96f500483c18f73efb94123e79a79cd7b76c8afc" }, { "path": "lean/OAI/Combinatorics/KServer/Main.lean", "sha256": "dbaf015559def63f8331aaaf00e26bcde9e04f1b62b4241786265ecee425f04d" }, { "path": "lean/ComparatorChallenges/UniformKServer.lean", "sha256": "5defbe05414f2769784983a55aeb30ccc94c692e700f0772579febbf7a7b78cb" } ], "review_limit": "Definition and selected statement inspection only; imported dependency semantics, whole proof, kernel and executable program correspondence are not certified." }, { "config": "lean/ComparatorChallenges/LogspaceEquality.json", "challenge_module": "ComparatorChallenges.LogspaceEquality", "solution_module": "OAI.Computability.Logspace.Equality", "definition_names": [ "OAI.ExactDerandomization.Word", "OAI.ExactDerandomization.Language", "OAI.ExactDerandomization.CoinTape", "OAI.ExactDerandomization.Direction.move", "OAI.ExactDerandomization.Direction.moveInput", "OAI.ExactDerandomization.readInput", "OAI.ExactDerandomization.Machine.initial", "OAI.ExactDerandomization.Machine.step", "OAI.ExactDerandomization.Machine.run", "OAI.ExactDerandomization.Machine.spaceThrough", "OAI.ExactDerandomization.Machine.LogSpace", "OAI.ExactDerandomization.Machine.Deterministic", "OAI.ExactDerandomization.Machine.HaltsBy", "OAI.ExactDerandomization.Machine.Decides", "OAI.ExactDerandomization.Machine.extendCoins", "OAI.ExactDerandomization.Machine.acceptanceProbability", "OAI.ExactDerandomization.polynomialClock", "OAI.ExactDerandomization.L", "OAI.ExactDerandomization.RL", "OAI.ExactDerandomization.BPL" ], "theorem_names": [ "OAI.ExactDerandomization.exact_logarithmic_space_derandomization" ], "semantic_review_status": "selected_source_definitions_compared", "kernel_check_status": "not_run", "family_id": "103", "definition_reviews": [ { "name": "OAI.ExactDerandomization.Word", "observation": "Finite binary input words.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Language", "observation": "Sets of those binary words, hence language decision.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.CoinTape", "observation": "Infinite sequence of bits, with finite prefixes enumerated for probabilities.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Direction.move", "observation": "Local left/stay/right movement on signed work coordinates.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Direction.moveInput", "observation": "Input-head movement saturates at both endmarkers.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.readInput", "observation": "Left marker, indexed input bit, or right marker.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Machine.initial", "observation": "Initial finite state, all heads at origins/left marker, all work cells false.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Machine.step", "observation": "Halted configurations are absorbing; otherwise read one fresh bit, update scanned work cells, and move local heads.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Machine.run", "observation": "Iterates step using the next bit at each time.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Machine.spaceThrough", "observation": "Sums distinct visited writable positions per tape through time t, including initially visited blank cells.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Machine.LogSpace", "observation": "One positive coefficient bounds traversed cells by ceil(log2(n+2)) on every input, coin tape and finite time.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Machine.Deterministic", "observation": "Transition action independent of the coin bit for every possible scanned state/symbol tuple.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Machine.HaltsBy", "observation": "Every coin tape has a halting output by the supplied time.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Machine.Decides", "observation": "For each word one finite time and correct Boolean output, common to all coin tapes.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Machine.extendCoins", "observation": "Finite fair-bit prefix followed by false; later bits cannot affect a t-step run.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.Machine.acceptanceProbability", "observation": "Exact count of accepting t-bit prefixes divided by 2^t. Direct enumeration is not the claimed low-space estimator.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.polynomialClock", "observation": "c*(n+2)^k time clock, with constants fixed for the machine.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.L", "observation": "Exists a deterministic logspace machine deciding the binary language. No separate polynomial clock in this definition; total deterministic logspace implies polynomial time by the finite-configuration argument described by the paper.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.RL", "observation": "Logspace machine, polynomial worst-case clock for all coin tapes, zero no-instance acceptance and at least one-half yes-instance acceptance.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" }, { "name": "OAI.ExactDerandomization.BPL", "observation": "Logspace machine, polynomial worst-case clock for all coin tapes, at most one-third no-instance and at least two-thirds yes-instance acceptance.", "comparison": "No intended-model mismatch detected in this selected source-level comparison", "status": "source_level_review_only", "independent_kernel_status": "not_run" } ], "reviewed_source_files": [ { "path": "lean/ComparatorChallenges/LogspaceEquality.json", "sha256": "80a22fecb8d68504a00419c12de7d83f9a6556f01d512ef7607c1acff61118cc" }, { "path": "lean/ComparatorChallenges/LogspaceEquality.lean", "sha256": "5c9ed4d04a778b61b33693eff64227a9c5b8162bf53c0b3e3938fb505831d817" }, { "path": "lean/OAI/Computability/Logspace/Deterministic.lean", "sha256": "f51289517dc00b6f843e6f408f393c1bcac7d25e78eb162c0c629618875d252b" }, { "path": "lean/docs/103.md", "sha256": "21e0be3e46468655991435570d83521e12ab9c83ad76fa6f484c88edcbc0e139" } ], "review_limit": "Definition and selected statement inspection only; imported dependency semantics, whole proof, kernel and executable program correspondence are not certified." }, { "config": "lean/ComparatorChallenges/Naimark.json", "challenge_module": "ComparatorChallenges.Naimark", "solution_module": "OAI.Analysis.Naimark.Tracial", "definition_names": [ "OAI.NaimarkZFC.IsSimpleCStar", "OAI.NaimarkZFC.IsState", "OAI.NaimarkZFC.IsFaithfulTracialState", "OAI.NaimarkZFC.IsIrreducible", "OAI.NaimarkZFC.UnitarilyEquivalent", "OAI.NaimarkZFC.HasUniqueIrreducibleRepresentation", "OAI.NaimarkZFC.IsIsomorphicToCompacts" ], "theorem_names": [ "OAI.NaimarkZFC.main" ], "semantic_review_status": "pending", "kernel_check_status": "not_run" }, { "config": "lean/ComparatorChallenges/OccupiedOverlap.json", "challenge_module": "ComparatorChallenges.OccupiedOverlap", "solution_module": "OAI.RepresentationTheory.RowColumn.Occupied", "definition_names": [ "OAI.CubeShuffle.UnitaryFinite.IsUnitary", "OAI.CubeShuffle.Specht.hilbertSpace", "OAI.CubeShuffle.Specht.unitaryRepresentation", "OAI.CubeShuffle.Specht.relabelledUnitary", "OAI.RowColumn.OccupiedOverlapEndpoint" ], "theorem_names": [ "OAI.RowColumn.occupied_overlap_endpoint", "OAI.RowColumn.occupied_overlap" ], "semantic_review_status": "pending", "kernel_check_status": "not_run" }, { "config": "lean/ComparatorChallenges/Rokhlin.json", "challenge_module": "ComparatorChallenges.Rokhlin", "solution_module": "OAI.Dynamics.MultipleMixing.Main", "definition_names": [ "OAI.Rokhlin.timeMap", "OAI.Rokhlin.IsMixing", "OAI.Rokhlin.layoutTime", "OAI.Rokhlin.MixingOfOrder" ], "theorem_names": [ "OAI.Rokhlin.mixing_all_finite_orders" ], "semantic_review_status": "pending", "kernel_check_status": "not_run" }, { "config": "lean/ComparatorChallenges/SpinAngle.json", "challenge_module": "ComparatorChallenges.SpinAngle", "solution_module": "OAI.RepresentationTheory.SpinAngle.TypeAngle", "definition_names": [ "OAI.SpinAngle.TypeAngle.row", "OAI.SpinAngle.TypeAngle.column", "OAI.SpinAngle.TypeAngle.phi" ], "theorem_names": [ "OAI.SpinAngle.TypeAngle.one_sided_type_angle" ], "semantic_review_status": "pending", "kernel_check_status": "not_run" } ], "primary_documentation": "https://github.com/leanprover/comparator", "interpretation": "65 declared entries identify semantic oversight obligations. 41 received selected source-level review; no intended-model mismatch was detected there. Seven configurations/24 entries remain pending. No theorem proof, trusted import closure or executable program was independently verified.", "generated_at_utc": "2026-10-08T21:07:53.970605+00:00", "reviewed_configs": 3, "source_level_definition_entries_reviewed": 41, "pending_configs": 7, "pending_definition_entries": 24, "textual_control": { "config": "LogspaceEquality", "challenge_definition_prefix_matches_solution_after_whitespace_comment_removal": true, "interpretation": "A lexical control over the displayed definitions/structures, not Lean elaboration, definitional-equivalence proof or independent kernel acceptance." } }