{"id":"W2084802325","doi":"10.1016/j.ejc.2007.01.002","title":"Characterizations of finite and infinite episturmian words via lexicographic orderings","year":2007,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Lexicographical order; Mathematics; Alphabet; Finite set; Combinatorics on words; Order (exchange); Characterization (materials science); Combinatorics; Skew; Set (abstract data type); Infinite set; Infinite product; Discrete mathematics; Word (group theory); Mathematical analysis; Linguistics; Computer science","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":[0.001961668,0.0001221419,0.0002127126,0.0003803049,0.00008324228,0.0000785744,0.0006310712,0.00002261965,0.00000454665],"category_scores_gemma":[0.0001193526,0.0001099564,0.00007833335,0.0007907544,0.00008476929,0.0004218054,0.0001786925,0.0002312898,0.000003824329],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000011625,"about_ca_system_score_gemma":0.00002680873,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.311901e-7,"about_ca_topic_score_gemma":2.044218e-7,"domain_scores_codex":[0.9986793,0.000157931,0.0005909636,0.0001202994,0.0002636256,0.0001878401],"domain_scores_gemma":[0.9985613,0.0002084985,0.0005986927,0.0002595647,0.0002244014,0.0001475016],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.00009945275,0.0008441081,0.05625892,0.0001742046,0.0002019511,0.001415204,0.008661625,0.00009701849,0.01859333,0.6758038,0.0002939135,0.2375565],"study_design_scores_gemma":[0.003475758,0.002100559,0.8830508,0.0005169405,0.00007446441,0.0009824977,0.0002219611,0.003597708,0.005277405,0.06626058,0.03359558,0.0008457743],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.411818,0.0003065651,0.5852535,0.0001766007,0.0005486418,0.0000336109,8.975306e-7,0.00002829285,0.001833975],"genre_scores_gemma":[0.9961649,0.0001541409,0.003416006,0.0001492104,0.00005777286,8.812265e-8,6.705132e-7,0.00001588785,0.00004128496],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8267919,"threshold_uncertainty_score":0.4483893,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007909369142483323,"score_gpt":0.2068976660720896,"score_spread":0.1989882969296063,"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."}}