{"id":"W2232191914","doi":"10.46298/dmtcs.1302","title":"Asymptotic Density of Zimin Words","year":2016,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"semigroups and automata theory","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Word (group theory); Alphabet; Combinatorics; Homomorphism; Limit (mathematics); Mathematics; Physics; Discrete mathematics; Philosophy; Geometry; Mathematical analysis; Linguistics","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":[0.002160957,0.0004333898,0.001072436,0.00197772,0.001540338,0.002908482,0.002503599,0.001242263,0.01082684],"category_scores_gemma":[0.0266964,0.0006671781,0.000633534,0.0008662207,0.003254003,0.005173908,0.002557072,0.002017843,0.001344275],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003052746,"about_ca_system_score_gemma":0.000990515,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001907299,"about_ca_topic_score_gemma":0.002141428,"domain_scores_codex":[0.9985127,0.0003087464,0.00006464501,0.0003760612,0.0004258904,0.0003119583],"domain_scores_gemma":[0.9901857,0.006217061,0.0006846845,0.001263534,0.0009262377,0.0007227366],"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":[0.0002286252,0.00005478858,0.005429809,0.0001686022,0.00003343727,0.0002057171,0.0005966061,0.01186527,0.003282141,0.963501,0.005331065,0.009302944],"study_design_scores_gemma":[0.00004721079,0.00005890829,0.004909314,0.0001344654,0.00003775959,0.0005946043,0.000465162,0.2381135,0.004213759,0.7470151,0.004326507,0.00008372827],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7828931,0.001302031,0.1571186,0.001724199,0.0001323168,0.00008780872,0.001120595,0.001558303,0.05406291],"genre_scores_gemma":[0.9769233,0.0003675889,0.01216313,0.0002868307,0.0001242712,0.0002172162,0.0009989896,0.0003485059,0.008570172],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01082684,"threshold_uncertainty_score":0.03621936,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01017574878256319,"score_gpt":0.2404286828056132,"score_spread":0.23025293402305,"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."}}