{"id":"W2052579883","doi":"10.4171/ggd/221","title":"From automatic structures to automatic groups","year":2014,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Royal Society Te Apārangi; Royal Society; Marsden Fund; National Science Foundation","keywords":"Cayley graph; Decidability; Graph; Voltage graph; Mathematics; Invariant (physics); Computer science; Nilpotent group; Discrete mathematics; Nilpotent; Combinatorics; Line graph","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.0007940026,0.0008583384,0.001133601,0.0007525581,0.0002927697,0.001206121,0.002847189,0.0006931406,0.0001017815],"category_scores_gemma":[0.0002255082,0.0008022184,0.0002599676,0.0007467657,0.0001363017,0.0003856108,0.004875756,0.000966137,0.0001264965],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002219567,"about_ca_system_score_gemma":0.00009808946,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002620192,"about_ca_topic_score_gemma":0.00005156242,"domain_scores_codex":[0.9956857,0.0002619092,0.000873799,0.00165667,0.0007141769,0.0008077655],"domain_scores_gemma":[0.9957216,0.0006607823,0.0004689853,0.002529534,0.0000901466,0.0005289816],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001456898,0.0001935017,0.001440014,0.001401562,0.0004621437,0.0001119313,0.004140879,0.005730763,0.00008406219,0.3344036,0.001956251,0.6500607],"study_design_scores_gemma":[0.000237527,0.00007173231,0.01156267,0.000228995,0.0000552136,0.00002903403,0.0001232458,0.6661531,0.00001422658,0.3207037,0.0001077764,0.0007127804],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5124172,0.0003347119,0.4835148,0.0004797802,0.001742549,0.0003655768,0.0001406997,0.0008305129,0.0001741909],"genre_scores_gemma":[0.8666736,0.00003528105,0.1308651,0.001332745,0.0005686184,0.00007018686,0.0003032515,0.00006762433,0.0000835775],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6604223,"threshold_uncertainty_score":0.9998307,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007822427442506628,"score_gpt":0.2311321277952277,"score_spread":0.2233097003527211,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}