{"id":"W1974410793","doi":"10.5539/jmr.v6n1p76","title":"A Minimal Pair of Turing Degrees","year":2014,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Turing; Natural number; Order (exchange); Substructure; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008604086,0.0004838827,0.0007557209,0.001339161,0.002527698,0.002624805,0.0008950483,0.00107594,0.009416392],"category_scores_gemma":[0.004775064,0.0007668769,0.0008892532,0.0008062922,0.002356099,0.004657755,0.002821242,0.001785008,0.00146282],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001158323,"about_ca_system_score_gemma":0.001162883,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005196931,"about_ca_topic_score_gemma":0.0008251073,"domain_scores_codex":[0.9984924,0.0003090541,0.0001126322,0.0004836278,0.0003154257,0.0002868813],"domain_scores_gemma":[0.9974953,0.0009587919,0.0002262718,0.0003723134,0.000427624,0.0005197358],"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":[0.0002109318,0.00005632485,0.002180103,0.0001437206,0.00003183486,0.0003246815,0.0007866429,0.001135032,0.005884224,0.9767805,0.001704459,0.01076151],"study_design_scores_gemma":[0.00007415605,0.0001653782,0.002202251,0.00009235366,0.00006655018,0.0009272906,0.0007647602,0.007020047,0.01215771,0.9576924,0.0187636,0.00007348099],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.633514,0.0006730648,0.2504886,0.001799385,0.0001960911,0.000199175,0.001731965,0.001055866,0.1103418],"genre_scores_gemma":[0.9264361,0.0001551204,0.05787377,0.0002596178,0.0000619959,0.0001365884,0.0009414772,0.0001190101,0.0140163],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009416392,"threshold_uncertainty_score":0.031501,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1271511295955995,"score_gpt":0.3782460264681889,"score_spread":0.2510948968725895,"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."}}