{"id":"W2963407000","doi":"","title":"Primitive words and Lyndon words in automatic and linearly recurrent sequences","year":2013,"lang":"en","type":"book-chapter","venue":"","topic":"semigroups and automata theory","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Winnipeg; University of Waterloo","funders":"","keywords":"Sequence (biology); Factorization; Combinatorics; Generating function; Bounded function; Computer science; Function (biology); Combinatorics on words; Algorithm; Mathematics; Discrete mathematics; Word (group theory); Arithmetic; Biology; Genetics","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":[0.0004712573,0.0008606194,0.0005886082,0.001211576,0.001368484,0.002326424,0.0007456765,0.0009362458,0.00921612],"category_scores_gemma":[0.001295677,0.0004808064,0.0004844308,0.001647098,0.003028723,0.004016389,0.0009893827,0.001806139,0.002725037],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001131989,"about_ca_system_score_gemma":0.0005982065,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005246426,"about_ca_topic_score_gemma":0.0008710634,"domain_scores_codex":[0.9996136,0.0001108157,0.00003201929,0.00006614449,0.0001287123,0.00004868225],"domain_scores_gemma":[0.9996315,0.0002113295,0.00002762576,0.00004373609,0.00006018584,0.00002560522],"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":[0.00001171269,0.000006677818,0.00002343199,0.00005376501,0.000001859777,0.0000363045,0.0003970884,0.0001727117,0.0009024457,0.9800545,0.002656707,0.01568279],"study_design_scores_gemma":[0.000005263852,0.00001358897,0.00005794951,0.00002779178,0.000003547767,0.000108212,0.00008234976,0.0007134278,0.0005600063,0.9632825,0.03513528,0.00001018457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.06655227,0.02614525,0.2311103,0.002171252,0.002839585,0.0001387977,0.0003412926,0.0006737267,0.6700274],"genre_scores_gemma":[0.5289392,0.01310138,0.08463849,0.0009431018,0.002715174,0.0004315768,0.0006322442,0.0005197273,0.368079],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00921612,"threshold_uncertainty_score":0.03083104,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01555979890845768,"score_gpt":0.2280867565160673,"score_spread":0.2125269576076096,"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."}}