{"id":"W4386400244","doi":"10.4204/eptcs.386.5","title":"Duality of Lattices Associated to Left and Right Quotients","year":2023,"lang":"en","type":"article","venue":"Electronic Proceedings in Theoretical Computer Science","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Austrian Science Fund; Natural Sciences and Engineering Research Council of Canada; Eesti Teadusagentuur","keywords":"Duality (order theory); Quotient; Mathematics; Pure mathematics; Left and right; Structural engineering; Engineering","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":[0.002218029,0.0001602961,0.0002502323,0.0003901524,0.0001869327,0.0001668092,0.001580112,0.00005574158,0.000009520733],"category_scores_gemma":[0.0003837344,0.0001343282,0.00003112286,0.003095835,0.0008944139,0.0007374178,0.00114648,0.0002459347,0.0000163866],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001290791,"about_ca_system_score_gemma":0.000116512,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000202261,"about_ca_topic_score_gemma":0.000002529782,"domain_scores_codex":[0.9973587,0.00002679485,0.0003107025,0.000748821,0.0006073659,0.0009475502],"domain_scores_gemma":[0.9991499,0.0001784835,0.0000963309,0.0002076946,0.0001830394,0.0001845128],"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":[0.000005018934,0.00004158394,0.002062909,0.00001064749,0.000002850737,0.000002444097,0.00100664,0.00003687773,0.001029858,0.991998,0.00001711258,0.003786045],"study_design_scores_gemma":[0.0002888765,0.0005062709,0.02484288,0.00006321027,0.000002796569,0.00001303635,0.00002239711,0.1732407,0.01052478,0.7901683,0.00007136715,0.0002553713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8843781,0.00003049503,0.1126965,0.001073927,0.0001661788,0.0002129702,7.4644e-7,0.000220476,0.001220606],"genre_scores_gemma":[0.9920567,0.00001188823,0.007610895,0.0002740543,0.00002210716,0.000006119652,3.214543e-7,0.000005828736,0.00001211769],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2018297,"threshold_uncertainty_score":0.5477744,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006738549479829083,"score_gpt":0.2572404120996604,"score_spread":0.2505018626198313,"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."}}