{"id":"W2278164876","doi":"10.1142/s012905411540016x","title":"Optimal Bounds for the Similarity Density of the Thue-Morse Word with Overlap-Free and 73-Power-Free Infinite Binary Words","year":2015,"lang":"en","type":"article","venue":"International Journal of Foundations of Computer Science","topic":"semigroups and automata theory","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Word (group theory); Complement (music); Generalization; Combinatorics; Binary number; Measure (data warehouse); Similarity (geometry); Natural number; Discrete mathematics; Morse code; Arithmetic; Artificial intelligence; Computer science; Mathematical analysis","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":["open_science"],"consensus_categories":[],"category_scores_codex":[0.002021016,0.0001232885,0.0001955845,0.0002476241,0.0002369433,0.0003937802,0.005879859,0.00002923063,0.000002464242],"category_scores_gemma":[0.0004747153,0.00007063238,0.0001071232,0.0005920962,0.001152627,0.001518728,0.001564873,0.0001692344,3.746428e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007399914,"about_ca_system_score_gemma":0.0007480562,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002245697,"about_ca_topic_score_gemma":0.0000150202,"domain_scores_codex":[0.9978808,0.00005997215,0.0004661018,0.0002055847,0.001218565,0.0001690361],"domain_scores_gemma":[0.9958227,0.0005894387,0.0007127215,0.0008352416,0.001948746,0.00009119087],"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":[0.001086308,0.00138971,0.04317546,0.00005442887,0.0008767565,0.0000536257,0.0171856,0.08244278,0.00433575,0.7222955,0.008338452,0.1187656],"study_design_scores_gemma":[0.004848115,0.0015725,0.237761,0.0004664304,0.00008781251,0.001168512,0.0005228512,0.6258518,0.004852548,0.1187519,0.003664345,0.000452163],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4294693,0.00005775536,0.5652406,0.003903126,0.001148665,0.0000970243,0.00000933784,0.000008286225,0.00006586537],"genre_scores_gemma":[0.8415835,0.000008933899,0.1580328,0.0002454921,0.0001100549,0.000001935678,3.573102e-7,0.000004072393,0.00001273703],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6035436,"threshold_uncertainty_score":0.9994988,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01973837594558339,"score_gpt":0.2763361209495411,"score_spread":0.2565977450039577,"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."}}