{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009442704,0.0001075284,0.0003938195,0.0004652894,0.00008339052,0.0001300359,0.001949282,0.00006398297,0.00002344801],"category_scores_gemma":[0.002061029,0.00007988117,0.0001656857,0.0005144882,0.0001549148,0.0002814582,0.0007347366,0.0005253365,0.00001937059],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007590622,"about_ca_system_score_gemma":0.0001776902,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006288794,"about_ca_topic_score_gemma":0.000002936039,"domain_scores_codex":[0.9965878,0.0003799648,0.0007795913,0.0001660834,0.001714849,0.0003717655],"domain_scores_gemma":[0.9954239,0.002309928,0.0003737181,0.0006103551,0.001114165,0.0001679474],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001504224,0.01025128,0.01628696,0.005983765,0.0006635499,0.0004868851,0.04519666,0.007596095,0.04720971,0.3594995,0.01577983,0.4908954],"study_design_scores_gemma":[0.0009353143,0.001674686,0.00638396,0.0004749417,0.00001316257,0.0005727404,0.0006164263,0.7515917,0.01668226,0.219092,0.001707657,0.0002551184],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.447892,0.000141291,0.5489659,0.0009412764,0.0001753413,0.0001214244,4.660321e-7,0.00001875024,0.001743646],"genre_scores_gemma":[0.5962268,0.000008123175,0.4035445,0.000006119524,0.0001358151,0.000001269727,3.104794e-8,0.000007338676,0.00006992268],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7439956,"threshold_uncertainty_score":0.3622284,"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."}}