{"id":"W3012333240","doi":"10.1007/s00182-020-00715-3","title":"On lattices from combinatorial game theory: infinite case","year":2020,"lang":"en","type":"article","venue":"International Journal of Game Theory","topic":"Artificial Intelligence in Games","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Distributive lattice; Converse; Iterated function; Distributive property; Mathematics; Partially ordered set; Lattice (music); Finite set; Combinatorics; Complete lattice; Map of lattices; Existential quantification; Discrete mathematics; Pure mathematics; Universality (dynamical systems)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004063692,0.001617886,0.002182366,0.00339742,0.002651451,0.008328918,0.002755795,0.003685319,0.008818434],"category_scores_gemma":[0.01794836,0.001319495,0.001886728,0.003258187,0.008206635,0.01502681,0.005557825,0.008311752,0.00105615],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003141281,"about_ca_system_score_gemma":0.00168052,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003304572,"about_ca_topic_score_gemma":0.002513765,"domain_scores_codex":[0.9952495,0.002583929,0.0001979646,0.0004419088,0.001048794,0.0004778618],"domain_scores_gemma":[0.9838524,0.01200346,0.0009789751,0.0009485741,0.0009490465,0.001267522],"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":[0.000008635567,0.00001383384,0.00004685613,0.00002241706,0.000004329318,0.00004032481,0.00006554626,0.002322868,0.00004165893,0.9959675,0.0004828064,0.0009831931],"study_design_scores_gemma":[0.000005706922,0.000002931965,0.00001465907,0.00000971219,0.000001646917,0.00002130926,0.00002104918,0.0107476,0.00001389849,0.9886749,0.0004823041,0.000004265296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1052353,0.003965944,0.6652762,0.01032057,0.0006449163,0.0001310728,0.0005299055,0.0002132071,0.2136829],"genre_scores_gemma":[0.8713716,0.002900186,0.09509642,0.0009220371,0.001444886,0.0003056289,0.0006811999,0.000230562,0.02704747],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008818434,"threshold_uncertainty_score":0.02950066,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03442724259271438,"score_gpt":0.3024529362401137,"score_spread":0.2680256936473993,"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."}}