{"id":"W2020661143","doi":"10.1016/s0012-365x(01)00297-7","title":"Galois theory for minors of finite functions","year":2002,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":95,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Boolean function; Discrete mathematics; Complement (music); Generalization; Closure (psychology); Complete Boolean algebra; Bounded function; Combinatorics; Two-element Boolean algebra; Separable space; Algebra over a field; Pure mathematics","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":[0.001845993,0.001811891,0.001803195,0.00428796,0.003795404,0.006068194,0.00126635,0.001495916,0.008502511],"category_scores_gemma":[0.003374202,0.0009275126,0.002159166,0.002886509,0.006519181,0.0111668,0.004564294,0.005135244,0.001216094],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002892109,"about_ca_system_score_gemma":0.0008745981,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001003202,"about_ca_topic_score_gemma":0.0007652715,"domain_scores_codex":[0.9985947,0.0003705457,0.00006750631,0.0003371554,0.0002789086,0.0003511943],"domain_scores_gemma":[0.9976352,0.001115398,0.0001969807,0.0003179179,0.000221003,0.0005135119],"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":[0.0000467145,0.00002049113,0.0001668464,0.00002127019,0.000009737636,0.00004938252,0.00036223,0.0002248195,0.0003613367,0.9956974,0.0004938937,0.002545872],"study_design_scores_gemma":[0.00001606625,0.00002231808,0.0001364613,0.000008718051,0.00001335118,0.00008569643,0.0000784249,0.0006933786,0.0003061275,0.99632,0.002307583,0.00001183571],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5821571,0.004050715,0.252432,0.005882393,0.001214376,0.0001530963,0.0007998188,0.001002126,0.1523084],"genre_scores_gemma":[0.9655032,0.0009448184,0.01028769,0.0004640424,0.0008419086,0.0000815996,0.0003091826,0.0001523527,0.02141523],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008502511,"threshold_uncertainty_score":0.02844375,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02510157427757449,"score_gpt":0.2345089131926011,"score_spread":0.2094073389150266,"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."}}