{"id":"W2040684427","doi":"10.1142/s0218196710005650","title":"A PROFINITE APPROACH TO STABLE PAIRS","year":2010,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"semigroups and automata theory","field":"Computer Science","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University; Natural Sciences and Engineering Research Council of Canada","funders":"","keywords":"Aperiodic graph; Mathematics; Decidability; Pure mathematics; Idempotence; Profinite group; Combinatorics; Algebra over a field; Discrete mathematics; Group (periodic table)","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":[0.0003676996,0.00006749656,0.00009210326,0.0001968343,0.00003788949,0.0002416212,0.0004906846,0.00002888395,0.000005013787],"category_scores_gemma":[0.00004427283,0.00005635913,0.00003967392,0.00011886,0.00001831751,0.0005398307,0.0001037681,0.0001454161,0.000007128688],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001272135,"about_ca_system_score_gemma":0.00004710991,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004299786,"about_ca_topic_score_gemma":7.314142e-7,"domain_scores_codex":[0.9991961,0.00002624326,0.000238583,0.0001175546,0.0003346662,0.00008684103],"domain_scores_gemma":[0.9992812,0.00006999845,0.0001640787,0.00007076579,0.0003259946,0.00008800122],"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":[0.00006386173,0.0003122376,0.001592692,0.00001189591,0.000135338,0.00004293508,0.003276993,0.002123578,0.01239952,0.5669824,0.002127202,0.4109313],"study_design_scores_gemma":[0.002463693,0.0005912811,0.06099759,0.000119261,0.00002677891,0.00244007,0.0005051948,0.546223,0.006869798,0.3692866,0.009878741,0.0005979333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3926823,0.00002099709,0.6045505,0.001009796,0.0007743485,0.00003916348,7.975332e-7,0.00001877209,0.0009032906],"genre_scores_gemma":[0.8855762,0.000003775478,0.1137166,0.0004782634,0.000191607,0.00000157816,0.000001600876,0.000003850672,0.0000264558],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5440995,"threshold_uncertainty_score":0.2329959,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0103393737800693,"score_gpt":0.2517929097064542,"score_spread":0.2414535359263849,"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."}}