{"id":"W2100465861","doi":"10.70930/tac/sbn7nctd","title":"Monads as Extension Systems—No Iteration is Necessary","year":2010,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Logic, programming, and type systems","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monad (category theory); Extension (predicate logic); Distributive property; Functor; Algebra over a field; Mathematics; Pure mathematics; Conservative extension; Computer science; Programming language; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":true,"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":[0.0005447333,0.00009153024,0.0001280895,0.00005469178,0.0001950942,0.0001395954,0.0003116185,0.000072692,0.00001465721],"category_scores_gemma":[0.00002567458,0.00007349435,0.00002579088,0.0001721129,0.0001359614,0.0003139422,0.00008093556,0.00009088891,0.00007116331],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003269696,"about_ca_system_score_gemma":0.00003276499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005985067,"about_ca_topic_score_gemma":0.000002325753,"domain_scores_codex":[0.9992886,0.00005952664,0.000196038,0.0002265216,0.0001218185,0.0001075609],"domain_scores_gemma":[0.9990077,0.00011207,0.0001193142,0.0005117307,0.0001974046,0.00005178962],"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":[0.000006432413,0.00002564912,0.00008812651,0.00003993619,0.000006365399,3.011312e-7,0.0005718449,0.000001662106,0.00443255,0.980821,0.0001918609,0.01381424],"study_design_scores_gemma":[0.0001131301,0.00005713397,0.0002368282,0.00000234044,0.00001042568,0.00003106495,0.0003064258,0.0006671928,0.007497745,0.9195015,0.07144168,0.0001344862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0255778,0.001033696,0.9521733,0.0002341605,0.0004159208,0.0005438887,0.000002241253,0.0001642261,0.01985476],"genre_scores_gemma":[0.9975371,0.0000329578,0.0005206863,0.00007231761,0.0001416956,0.0001355707,0.000008005318,0.000005277681,0.001546371],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9719593,"threshold_uncertainty_score":0.2997013,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00922838290892566,"score_gpt":0.2451867701029875,"score_spread":0.2359583871940618,"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."}}