{"id":"W2011123341","doi":"10.1080/10236198.2013.876422","title":"A case study in meta-automation: automatic generation of congruence automata for combinatorial sequences","year":2014,"lang":"en","type":"article","venue":"The Journal of Difference Equations and Applications","topic":"semigroups and automata theory","field":"Computer Science","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Congruence (geometry); Mathematics; Automaton; Automation; Algebra over a field; Sequence (biology); Theoretical computer science; Discrete mathematics; Computer science; Pure mathematics","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":[0.001985783,0.0001174763,0.0003264433,0.000129871,0.0002461086,0.00009738849,0.0005743878,0.00003415289,0.000004279393],"category_scores_gemma":[0.0001840922,0.00007415788,0.00007006628,0.0004033436,0.00009551681,0.000341499,0.00006674144,0.00009688589,6.839795e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002115066,"about_ca_system_score_gemma":0.00009268013,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006731938,"about_ca_topic_score_gemma":0.00005832377,"domain_scores_codex":[0.9985077,0.0002995814,0.0006917854,0.0001403249,0.0002434462,0.000117178],"domain_scores_gemma":[0.9971667,0.001469214,0.0006249017,0.0004238373,0.0002658904,0.00004943927],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000008737794,0.001092285,0.0006027946,0.00007304458,0.0003434662,0.000008044282,0.007326073,0.001727537,0.005651146,0.8739734,0.00005579998,0.1091377],"study_design_scores_gemma":[0.001032059,0.0004884555,0.001827256,0.00002087312,0.000434815,0.0003820834,0.00130637,0.9035642,0.0005100298,0.09025393,0.00004020483,0.0001397936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4294271,0.0000942665,0.5695507,0.000340937,0.0000656015,0.0004893181,0.000004501403,0.00001665949,0.00001095339],"genre_scores_gemma":[0.9905454,0.00001639908,0.009111379,0.0000352224,0.00007825535,0.0001995377,0.000001721762,0.000004593617,0.000007472463],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9018366,"threshold_uncertainty_score":0.302407,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08609220349401839,"score_gpt":0.3123432109649245,"score_spread":0.2262510074709061,"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."}}