{"id":"W2148956539","doi":"10.2178/jsl/1278682213","title":"Quantifier elimination in valued Ore modules","year":2010,"lang":"en","type":"article","venue":"Journal of Symbolic Logic","topic":"semigroups and automata theory","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quantifier elimination; Valuation (finance); Mathematics; Quantifier (linguistics); Residue field; Property (philosophy); Independence (probability theory); Field (mathematics); Pure mathematics; Discrete mathematics; Computer science; Statistics; Artificial intelligence","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001900925,0.0003372657,0.0005399545,0.0009081971,0.0009750554,0.001649233,0.0007026789,0.0004977678,0.002028139],"category_scores_gemma":[0.002129388,0.0003618775,0.0009993388,0.0004297018,0.002507163,0.003966103,0.00167436,0.001428365,0.0003589234],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007843419,"about_ca_system_score_gemma":0.0006852389,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004640115,"about_ca_topic_score_gemma":0.0003950002,"domain_scores_codex":[0.9988014,0.0002293426,0.00007622633,0.0001868211,0.0004588963,0.0002474184],"domain_scores_gemma":[0.9983754,0.0008298561,0.0001595378,0.0001385644,0.0003558722,0.0001408487],"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":[0.00007530779,0.00006841164,0.0008714522,0.00007333227,0.00002770049,0.00059299,0.001019491,0.002089944,0.01356756,0.9733628,0.0003379778,0.007913047],"study_design_scores_gemma":[0.00005871657,0.0001171687,0.0007332216,0.00002564922,0.0000407215,0.0006168183,0.0003052407,0.02151769,0.02692649,0.9441174,0.005496986,0.00004389669],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7774672,0.0002734991,0.2029119,0.0005913058,0.00007035441,0.00005057236,0.00006399283,0.000338821,0.01823242],"genre_scores_gemma":[0.9807171,0.00008947942,0.01325191,0.0001173055,0.00004692464,0.00001947039,0.00004762824,0.00004299203,0.005667257],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002028139,"threshold_uncertainty_score":0.01005316,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01586160689278572,"score_gpt":0.2604011465616606,"score_spread":0.2445395396688749,"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."}}