{"id":"W2105781220","doi":"10.1017/s0960129509007440","title":"Three extensional models of type theory","year":2009,"lang":"en","type":"article","venue":"Mathematical Structures in Computer Science","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek; McGill University","keywords":"Extensional definition; Type theory; Type (biology); Categorical variable; Extensionality; Mathematics; Computer science; Discrete mathematics; Geology; Statistics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000940233,0.0001397961,0.000294666,0.000132303,0.00008976142,0.00001539869,0.0006224706,0.00006444134,0.0001171316],"category_scores_gemma":[0.0003980388,0.0001006878,0.00004673624,0.0004000072,0.000875261,0.0001960063,0.0001535723,0.000176471,0.000004975066],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000275304,"about_ca_system_score_gemma":0.00005789218,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.741806e-7,"about_ca_topic_score_gemma":8.060302e-7,"domain_scores_codex":[0.9986261,0.00004472207,0.0003526566,0.0002998231,0.000375015,0.0003016986],"domain_scores_gemma":[0.9985718,0.000710992,0.0000926559,0.0004483486,0.0001042022,0.00007206606],"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":[0.00003047874,0.00006433086,0.00001383403,0.00001637322,0.000002188311,0.000008814492,0.0003132015,0.001093074,0.0002696294,0.9788808,0.000030581,0.01927666],"study_design_scores_gemma":[0.000143129,0.00006052357,0.0007221733,0.00003718535,0.000004118481,0.00004711336,0.000009596603,0.1072602,0.0005325171,0.8910816,0.000001492234,0.0001003156],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1805423,0.00004917788,0.8177738,0.00008347758,0.0001546892,0.0001148566,9.345702e-7,0.00003569811,0.001245027],"genre_scores_gemma":[0.6917929,9.590257e-7,0.3079857,0.0001754821,0.000033586,7.776692e-7,1.912061e-7,0.000004238093,0.000006104684],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5112506,"threshold_uncertainty_score":0.4105927,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04413665347817151,"score_gpt":0.3315818087464013,"score_spread":0.2874451552682298,"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."}}