{"id":"W2101621888","doi":"10.1007/978-3-642-37064-9_28","title":"Primitive Words and Lyndon Words in Automatic and Linearly Recurrent Sequences","year":2013,"lang":"en","type":"preprint","venue":"Lecture notes in computer science","topic":"semigroups and automata theory","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Winnipeg; University of Waterloo","funders":"","keywords":"Sequence (biology); Factorization; Combinatorics; Mathematics; Generating function; Bounded function; Function (biology); Word (group theory); Discrete mathematics; Algorithm; Biology; Genetics; Geometry","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":[0.001221368,0.0006611673,0.0008031272,0.001676548,0.00218217,0.003983398,0.001052828,0.001673585,0.007164525],"category_scores_gemma":[0.004931649,0.0006717552,0.0008794499,0.001640199,0.004038313,0.005007794,0.001913762,0.002199524,0.001232834],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00123377,"about_ca_system_score_gemma":0.0008070886,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006236329,"about_ca_topic_score_gemma":0.0008013181,"domain_scores_codex":[0.9987129,0.0003472834,0.0001219657,0.0002924284,0.0003080941,0.0002174195],"domain_scores_gemma":[0.997138,0.001571159,0.0003721814,0.0002878536,0.0003815344,0.0002491774],"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":[0.00005382364,0.00001262531,0.0002186216,0.00002895766,0.000004372512,0.0001592571,0.0005964041,0.0003255908,0.001533429,0.9928588,0.0003871384,0.003820876],"study_design_scores_gemma":[0.00001495586,0.0000184556,0.0001432629,0.00000937751,0.000006930532,0.0001440805,0.0001374068,0.002159837,0.0006393711,0.9947836,0.001928305,0.00001433838],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.5938246,0.002189671,0.3138648,0.001635895,0.0006547116,0.0001112142,0.0006014277,0.0006406672,0.08647694],"genre_scores_gemma":[0.9536614,0.0004525171,0.02509158,0.0002669105,0.00036507,0.0001430864,0.0003625478,0.0001390985,0.01951778],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.007164525,"threshold_uncertainty_score":0.02396774,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01458552377475539,"score_gpt":0.2600076673239913,"score_spread":0.2454221435492359,"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."}}