{"id":"W2001279658","doi":"10.1016/j.tcs.2006.02.003","title":"Synchronizing groups and automata","year":2006,"lang":"en","type":"article","venue":"Theoretical Computer Science","topic":"semigroups and automata theory","field":"Computer Science","cited_by":59,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Permutation (music); Synchronizing; Mathematics; Combinatorics; Property (philosophy); Word (group theory); Permutation group; Discrete mathematics; Character (mathematics); Prime (order theory); Automaton; Cyclic permutation; Symmetric group; Computer science; Theoretical computer science; Topology (electrical circuits)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001040223,0.0007159966,0.001100501,0.00190368,0.001843249,0.003163574,0.0007773219,0.001458053,0.01053341],"category_scores_gemma":[0.00278532,0.000489029,0.0008149756,0.002544143,0.005522648,0.007156843,0.002674568,0.002700176,0.001431846],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001101464,"about_ca_system_score_gemma":0.0006960999,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005253214,"about_ca_topic_score_gemma":0.0003691173,"domain_scores_codex":[0.9989223,0.0003655272,0.00006721928,0.0003245245,0.0002034574,0.0001169633],"domain_scores_gemma":[0.9977911,0.001362396,0.0001681013,0.000338285,0.0001808293,0.000159431],"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":[0.000008535042,0.000006361211,0.0000437204,0.00001739408,0.000002448402,0.00002109399,0.0002117059,0.0002841388,0.0001896565,0.9958575,0.0006426835,0.002714659],"study_design_scores_gemma":[0.000005224056,0.000005525966,0.00002394519,0.000004674911,0.000003152254,0.00002406109,0.00004575635,0.0007424956,0.0001222007,0.9954689,0.003551126,0.000002914524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2118795,0.0173582,0.5005787,0.01349307,0.002910718,0.0001671819,0.0005314404,0.001145883,0.2519352],"genre_scores_gemma":[0.9168092,0.004089545,0.02929823,0.0009360061,0.001981005,0.0002216666,0.0004024584,0.0001839169,0.04607794],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01053341,"threshold_uncertainty_score":0.03523779,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004610918180651434,"score_gpt":0.2074310921395586,"score_spread":0.2028201739589072,"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."}}