{"id":"W3212859878","doi":"10.1137/23m1558513","title":"Extending Dekking’s Construction of an Infinite Binary Word Avoiding Abelian 4-Powers","year":2024,"lang":"en","type":"article","venue":"SIAM Journal on Discrete Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; Thompson Rivers University; University of Winnipeg","funders":"","keywords":"Abelian group; Word (group theory); Binary number; Construct (python library); Mathematics; Binary operation; Omega; Exponent; Discrete mathematics; Combinatorics; Pure mathematics; Arithmetic; Computer science; Physics; Linguistics; Quantum mechanics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001351203,0.0002127616,0.0002840386,0.0004761844,0.0002527105,0.0005950357,0.0006763125,0.00007685748,0.00005328641],"category_scores_gemma":[0.0001108715,0.0001661118,0.0001692371,0.0005501566,0.00009728493,0.001022267,0.0001286355,0.0005344556,0.00003690558],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007526402,"about_ca_system_score_gemma":0.00007817413,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001109778,"about_ca_topic_score_gemma":3.003753e-7,"domain_scores_codex":[0.9982355,0.0001292175,0.0005930522,0.0002578777,0.000473617,0.0003107665],"domain_scores_gemma":[0.9987035,0.0003471915,0.0002955882,0.0004319805,0.00005525998,0.0001664286],"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":[0.00001485023,0.000118841,0.00003658979,0.0004042265,0.000129405,0.0003889997,0.006869348,0.0005124208,0.01072534,0.8801085,0.0002311806,0.1004603],"study_design_scores_gemma":[0.0004372461,0.0006300167,0.0001571678,0.004344819,0.00007027555,0.003063439,0.004089304,0.520687,0.008394386,0.4558593,0.001652608,0.000614465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5707124,0.0007264859,0.4223377,0.0004514442,0.002040451,0.0001386023,0.000008327814,0.0003255848,0.003258921],"genre_scores_gemma":[0.8583197,0.0001396081,0.1412073,0.0000701378,0.000158237,0.000002345676,0.00000174975,0.00003152784,0.00006938851],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5201746,"threshold_uncertainty_score":0.6773844,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01647246899495382,"score_gpt":0.2752870181134576,"score_spread":0.2588145491185038,"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."}}