{"id":"W2962904359","doi":"10.1007/s00224-017-9803-8","title":"Syntactic Complexity of Regular Ideals","year":2017,"lang":"en","type":"article","venue":"Theory of Computing Systems","topic":"semigroups and automata theory","field":"Computer Science","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto; University of Waterloo","funders":"European Social Fund; Uniwersytet Wrocławski; University of Waterloo; Natural Sciences and Engineering Research Council of Canada; European Commission; Narodowe Centrum Nauki; University of Toronto; Narodowym Centrum Nauki","keywords":"Regular language; Cardinality (data modeling); Suffix; Mathematics; Prefix; Discrete mathematics; Nondeterministic finite automaton; Descriptive complexity theory; Combinatorics; Computer science; Time complexity; Automaton; Automata theory; Linguistics; Theoretical computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.003366337,0.000158091,0.0005463616,0.00009272934,0.0003242373,0.0001534083,0.002481519,0.00006359463,0.000006913386],"category_scores_gemma":[0.0002333932,0.0001410297,0.0001251978,0.00008182292,0.0005117164,0.0002932825,0.0005949009,0.0001002187,0.00001362757],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002249826,"about_ca_system_score_gemma":0.00003723528,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001253928,"about_ca_topic_score_gemma":6.820167e-7,"domain_scores_codex":[0.9980685,0.0004542829,0.0005811944,0.0002956201,0.0003388009,0.0002616454],"domain_scores_gemma":[0.996011,0.0005364821,0.001215005,0.002028408,0.0001421518,0.00006696382],"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":[0.000009809277,0.00003935933,0.0003512049,0.0002189093,0.00004587097,0.000005075763,0.0007243435,0.0001832007,0.003189581,0.9893993,0.00006792196,0.005765439],"study_design_scores_gemma":[0.0009785191,0.0002372207,0.03830882,0.001919102,0.00004516805,0.0001467412,0.0005710311,0.2098321,0.02336162,0.7237596,0.0002665236,0.0005735538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5447901,0.000427253,0.4451255,0.0001205721,0.001146684,0.0002178788,0.000005168239,0.0001633437,0.008003504],"genre_scores_gemma":[0.9946427,0.000002331828,0.005116596,0.00001966371,0.000100119,0.000001225542,7.267089e-7,0.00001175826,0.0001048374],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4498526,"threshold_uncertainty_score":0.5751024,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05201520097610158,"score_gpt":0.2847825039784081,"score_spread":0.2327673030023065,"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."}}