{"id":"W2048141197","doi":"10.1016/s0022-4049(03)00124-5","title":"On an assertion of J. Rhodes and the finite basis and finite vertex rank problems for pseudovarieties","year":2003,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"semigroups and automata theory","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Assertion; Mathematics; Vertex (graph theory); Rank (graph theory); Combinatorics; Basis (linear algebra); Contrast (vision); Computer science; Geometry; Artificial intelligence; Graph","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":[0.003860196,0.0006870538,0.001758088,0.001815751,0.003138097,0.002991156,0.001895566,0.003440133,0.01417331],"category_scores_gemma":[0.01439215,0.0004878048,0.001510183,0.001927515,0.007661374,0.01410032,0.005798311,0.006634391,0.002078066],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001738233,"about_ca_system_score_gemma":0.0007924488,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003184458,"about_ca_topic_score_gemma":0.00217807,"domain_scores_codex":[0.9984449,0.0005112122,0.00009157744,0.000391197,0.0003278176,0.0002334868],"domain_scores_gemma":[0.9915194,0.006072705,0.0002573886,0.0006846051,0.001060254,0.0004056118],"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":[0.00009179473,0.00003185477,0.0001818481,0.0001193116,0.0000144867,0.0001583911,0.0004255097,0.0004655439,0.0004478305,0.9685615,0.02400416,0.005497647],"study_design_scores_gemma":[0.00002402038,0.00002082473,0.0002300675,0.00005357609,0.00001758668,0.00008462902,0.000170078,0.001148708,0.0004168499,0.9707931,0.02701233,0.00002823929],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1102661,0.01655092,0.2087684,0.2735831,0.01481447,0.0001320295,0.001354074,0.0009141189,0.3736168],"genre_scores_gemma":[0.7955711,0.01204882,0.04323054,0.0325362,0.01382349,0.0002190698,0.0009858825,0.001059607,0.1005253],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01417331,"threshold_uncertainty_score":0.04741442,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01140601166843236,"score_gpt":0.2214527526548045,"score_spread":0.2100467409863721,"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."}}