{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005164928,0.0004538348,0.0002841452,0.001127805,0.0009605702,0.001729742,0.0006522534,0.0008953584,0.005907828],"category_scores_gemma":[0.001575772,0.0002332512,0.0004169895,0.0007874356,0.00401926,0.005325406,0.002259818,0.001781791,0.0009524136],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008175627,"about_ca_system_score_gemma":0.00050498,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008025251,"about_ca_topic_score_gemma":0.0005924372,"domain_scores_codex":[0.9992854,0.0001874448,0.0000315198,0.0002061067,0.0002155208,0.00007405759],"domain_scores_gemma":[0.9992962,0.0002743496,0.0000710543,0.0001349426,0.0001315337,0.00009198916],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000280159,0.000004021789,0.00006561291,0.00001570271,0.000001242128,0.00002774794,0.0001514662,0.0002977735,0.0003348564,0.9958779,0.0005206463,0.002700157],"study_design_scores_gemma":[0.000003554579,0.00000709862,0.00006666009,0.000006895195,0.000001353465,0.00004288514,0.00005285064,0.001522691,0.0001745639,0.9864548,0.01166236,0.000004188773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.2028978,0.008270939,0.5638795,0.009433826,0.001997065,0.0001054418,0.0005423176,0.001012813,0.2118602],"genre_scores_gemma":[0.8944588,0.003152038,0.0688418,0.001682152,0.001679829,0.0001588271,0.0005085948,0.0002258366,0.02929203],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.005907828,"threshold_uncertainty_score":0.01976365,"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."}}