{"id":"W2112769148","doi":"10.1109/ismvl.2012.60","title":"Semirigid Systems of Equivalence Relations","year":2012,"lang":"en","type":"preprint","venue":"","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Equivalence (formal languages); Equivalence relation; Cardinality (data modeling); Set (abstract data type); Mathematics; Discrete mathematics; Combinatorics; Computer science; Algebra over a field; Pure mathematics; Data mining; Programming language","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002105954,0.0001532705,0.0002504952,0.00008152638,0.00004269445,0.0000478929,0.001140915,0.0001683967,0.00004520535],"category_scores_gemma":[0.00002960222,0.0001255263,0.00008958115,0.0001505054,0.0000448775,0.0002840286,0.001411323,0.000289464,0.0001277137],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003870084,"about_ca_system_score_gemma":0.00008963752,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000374029,"about_ca_topic_score_gemma":0.00000124033,"domain_scores_codex":[0.9988127,0.00005384059,0.000327483,0.0003368972,0.0002424001,0.0002267134],"domain_scores_gemma":[0.998431,0.0001094604,0.0002591714,0.001015455,0.0001035889,0.00008137459],"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":[5.113449e-7,0.00003566951,0.001023333,0.0001322054,0.00001597752,0.000001526026,0.0002401785,0.01270663,0.000156551,0.9837189,0.0007133317,0.00125515],"study_design_scores_gemma":[0.0007168447,0.0001731762,0.01805495,0.001830598,0.0001406063,0.0001219542,0.000241632,0.331253,0.004421279,0.6177178,0.02226917,0.003058992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.003198531,0.001834,0.9539328,0.0001158824,0.001508496,0.0002179163,0.000005576664,0.0002062783,0.03898052],"genre_scores_gemma":[0.9360558,0.0000442554,0.06018171,0.00002967704,0.0001003827,0.00002653513,0.000004671263,0.000006542336,0.003550434],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9328573,"threshold_uncertainty_score":0.5118813,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0392435571163093,"score_gpt":0.2796619425324769,"score_spread":0.2404183854161676,"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."}}