{"id":"W6966730854","doi":"10.48550/arxiv.2309.02765","title":"A General Approach to Proving Properties of Fibonacci Representations via Automata Theory","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"semigroups and automata theory","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Correctness; Fibonacci number; Automaton; Representation (politics); Mathematical proof; Automata theory","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":[0.004101995,0.001316938,0.001026733,0.002400608,0.002186412,0.003190832,0.003140418,0.002365047,0.007362284],"category_scores_gemma":[0.008441607,0.0009605524,0.004278074,0.00172586,0.007382786,0.007140544,0.004287506,0.005699732,0.00250842],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00197752,"about_ca_system_score_gemma":0.001733984,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00127811,"about_ca_topic_score_gemma":0.00108685,"domain_scores_codex":[0.9963958,0.0009089385,0.0003400552,0.0006939781,0.001444105,0.0002170951],"domain_scores_gemma":[0.9960879,0.002044763,0.0001682554,0.001156819,0.0004541861,0.00008811914],"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":[0.00001272339,0.00002626494,0.0001066568,0.0001138132,0.00001874963,0.0001024949,0.0002165907,0.003772646,0.002887942,0.9777502,0.001274526,0.01371743],"study_design_scores_gemma":[0.00001525886,0.00002835811,0.00004510719,0.00003267281,0.00001647936,0.00009333449,0.00002607123,0.01120557,0.003596024,0.9752237,0.009692024,0.00002546151],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.002546055,0.0002011353,0.989794,0.000417988,0.0001476474,0.00007960387,0.00007669665,0.0005425938,0.006194297],"genre_scores_gemma":[0.1771547,0.0009297802,0.812052,0.001111808,0.0004836506,0.0006921378,0.0003697239,0.0004145943,0.006791579],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007362284,"threshold_uncertainty_score":0.02462929,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1093361367566304,"score_gpt":0.2002145091503051,"score_spread":0.09087837239367473,"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."}}