{"id":"W3159934812","doi":"10.11575/cdm.v16i1.69831","title":"Lengths of extremal square-free ternary words","year":2020,"lang":"en","type":"article","venue":"University of Calgary","topic":"semigroups and automata theory","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Winnipeg","funders":"","keywords":"Ternary operation; Word (group theory); Square (algebra); Alphabet; Square-free integer; Mathematics; Combinatorics; Sigma; Discrete mathematics; Geometry; Computer science; Linguistics; Physics; Philosophy","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":[],"consensus_categories":[],"category_scores_codex":[0.00007361541,0.00006835193,0.0001509059,0.00004899892,0.0000382541,0.000005616297,0.001226124,0.00004264782,0.00009821347],"category_scores_gemma":[0.00002068673,0.00007707442,0.00008790151,0.0001805529,0.00009447577,0.000254556,0.0006345388,0.00007516017,0.00001358066],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001067746,"about_ca_system_score_gemma":0.00004206017,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009320423,"about_ca_topic_score_gemma":0.000004004864,"domain_scores_codex":[0.9993995,0.00003909435,0.00009100013,0.0001792643,0.0001825265,0.0001085984],"domain_scores_gemma":[0.9993616,0.00006040431,0.00008138332,0.0003800863,0.00003395931,0.00008253816],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0004700393,0.0005356176,0.01318449,0.0005109124,0.0002243268,0.001055746,0.02564556,0.0001575958,0.03179435,0.5515906,0.03072643,0.3441043],"study_design_scores_gemma":[0.0092124,0.002200468,0.08558945,0.0005106083,0.0001623905,0.0000602459,0.005519875,0.7411429,0.03529074,0.02819349,0.09039517,0.001722256],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2831444,0.000290134,0.6892286,0.002203592,0.0001343829,0.000110006,0.00001063131,0.0001830407,0.02469527],"genre_scores_gemma":[0.964929,0.00002478463,0.03448245,0.000258999,0.00002555591,2.910286e-8,0.000002088864,0.0000044986,0.0002725654],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7409853,"threshold_uncertainty_score":0.3143004,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01147660750885999,"score_gpt":0.1780764004527249,"score_spread":0.1665997929438649,"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."}}