{"id":"W3026976675","doi":"10.1016/j.tcs.2020.10.029","title":"Characterization of the lengths of binary circular words containing no squares other than 00, 11, and 0101","year":2020,"lang":"en","type":"preprint","venue":"Theoretical Computer Science","topic":"semigroups and automata theory","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria; University of Winnipeg","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Characterization (materials science); Binary number; Mathematics; Least-squares function approximation; Combinatorics; Arithmetic; Statistics; Materials science; Nanotechnology","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":["sts"],"consensus_categories":[],"category_scores_codex":[0.001405704,0.0002999398,0.0005092986,0.0001528949,0.000192192,0.0002509238,0.003775877,0.00014209,0.00002439739],"category_scores_gemma":[0.000143043,0.0002131763,0.0001501256,0.0007126748,0.003389633,0.0003229551,0.006114516,0.0003741449,0.00000466877],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003131709,"about_ca_system_score_gemma":0.0002376735,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001847603,"about_ca_topic_score_gemma":3.140617e-7,"domain_scores_codex":[0.9970824,0.0003025475,0.0005283497,0.0009094272,0.0008028828,0.0003743572],"domain_scores_gemma":[0.9975585,0.0002702363,0.000432464,0.001342992,0.000239462,0.0001563911],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001497551,0.00005255788,0.0005843972,0.0001587692,0.00001477507,0.000004310433,0.002022304,0.00007187545,0.07109816,0.9223281,0.000004186415,0.003645551],"study_design_scores_gemma":[0.0002961781,0.0002980794,0.01859941,0.0008057198,0.00002480969,0.0000178588,0.00002754417,0.8195203,0.03546564,0.1243808,0.0001082914,0.0004554036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5470175,0.00004692554,0.4508206,0.0007646977,0.0007521083,0.0002564334,0.00001571381,0.00007988479,0.0002461276],"genre_scores_gemma":[0.9873385,0.00001141126,0.01201014,0.0004718461,0.0001383168,0.000007898013,0.000002621005,0.0000164049,0.000002909549],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8194484,"threshold_uncertainty_score":0.9993226,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01249449451020036,"score_gpt":0.233895983947755,"score_spread":0.2214014894375547,"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."}}