{"id":"W1650093283","doi":"10.1016/j.jcss.2016.01.001","title":"Separating OR, SUM, and XOR circuits","year":2016,"lang":"en","type":"article","venue":"Journal of Computer and System Sciences","topic":"Complexity and Algorithms in Graphs","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Academy of Finland","keywords":"Electronic circuit; Boolean circuit; Mathematics; Monotone polygon; Modulo; Rewriting; Netlist; Circuit complexity; Discrete mathematics; Boolean function; Arithmetic; Algorithm; Computer science","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":[0.0009889577,0.0009327742,0.0008653991,0.001155006,0.001102137,0.003063424,0.001117222,0.001232262,0.008560256],"category_scores_gemma":[0.006674705,0.0006027024,0.0009906003,0.001094432,0.001793073,0.007080052,0.002396732,0.002236148,0.001178367],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001003796,"about_ca_system_score_gemma":0.001258029,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009421073,"about_ca_topic_score_gemma":0.001530169,"domain_scores_codex":[0.9990095,0.0002475908,0.00008034871,0.0002163067,0.0002438727,0.0002023491],"domain_scores_gemma":[0.9967508,0.002084328,0.0002938987,0.0004910616,0.0002224175,0.0001574718],"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":[0.0004538229,0.00006686439,0.0006064721,0.0002007345,0.00005042988,0.0001286942,0.0001923781,0.01247112,0.004971848,0.901923,0.004078058,0.07485662],"study_design_scores_gemma":[0.00003561602,0.00003308208,0.0001651759,0.00003006986,0.00005364976,0.0001466449,0.00004890049,0.02696686,0.002969206,0.9649999,0.004532959,0.00001787462],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3431057,0.003543834,0.5479437,0.004198894,0.0005470722,0.0002026669,0.001093382,0.001078459,0.09828629],"genre_scores_gemma":[0.8517703,0.001991488,0.1106358,0.0008778329,0.0003879766,0.0001504213,0.0006948377,0.0002818848,0.03320946],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008560256,"threshold_uncertainty_score":0.02863693,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04163178691523718,"score_gpt":0.2759374201476482,"score_spread":0.234305633232411,"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."}}