{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009492686,0.00008163803,0.000178278,0.0002349447,0.0000356277,0.0001158048,0.0006672255,0.00007417112,0.00002519556],"category_scores_gemma":[0.0001349849,0.00005839896,0.00007272403,0.000258428,0.00003381753,0.0007160911,0.0000679455,0.0003244979,0.00001736444],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001885366,"about_ca_system_score_gemma":0.00004258414,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006837349,"about_ca_topic_score_gemma":0.000007131606,"domain_scores_codex":[0.9990817,0.00005839006,0.0003408678,0.0001153542,0.0002438947,0.0001597817],"domain_scores_gemma":[0.999283,0.00007398958,0.0002415654,0.0002324783,0.0001083231,0.00006061815],"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":[0.000009314194,0.0001621551,0.001325868,0.0000106156,0.00001098597,0.0001073415,0.001031453,0.00011422,0.04411232,0.9033015,0.0004160444,0.04939822],"study_design_scores_gemma":[0.001358601,0.0002920743,0.3464054,0.0001045571,0.00001527737,0.00097331,0.0002795556,0.06364047,0.01203917,0.5730085,0.001518808,0.0003642625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9375322,0.0001193704,0.0591285,0.001432313,0.0009306273,0.00004199144,3.362471e-7,0.00002217678,0.0007924823],"genre_scores_gemma":[0.9818491,0.00001948869,0.0175979,0.0002841832,0.0001719768,8.71178e-7,2.331477e-7,0.000004347898,0.00007185576],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3450795,"threshold_uncertainty_score":0.238144,"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."}}