{"id":"W3124826634","doi":"10.1109/ccc.1997.612315","title":"Circuits and expressions with non-associative gates","year":2002,"lang":"en","type":"preprint","venue":"","topic":"semigroups and automata theory","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Chengdu University of Information Technology","keywords":"Iterated function; Multiplication (music); Associative property; Semigroup; Abelian group; Mathematics; Expression (computer science); Discrete mathematics; Class (philosophy); Value (mathematics); Algebra over a field; Arithmetic; Computer science; Pure mathematics; Combinatorics","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":[0.0009921195,0.0005658444,0.0004726349,0.0005479744,0.001076086,0.002604867,0.0008640622,0.001046807,0.003428545],"category_scores_gemma":[0.003776682,0.000258541,0.001076539,0.0008132484,0.003988507,0.006274711,0.001629964,0.001548808,0.0003596602],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001339453,"about_ca_system_score_gemma":0.0006821479,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000836865,"about_ca_topic_score_gemma":0.0007876036,"domain_scores_codex":[0.998691,0.0003897449,0.0001040439,0.0003032157,0.0003027184,0.0002092485],"domain_scores_gemma":[0.9971964,0.001925939,0.0002859224,0.0002924389,0.0001911062,0.0001081082],"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":[0.00003899827,0.00002701774,0.000284459,0.00008211161,0.000009087761,0.0002026449,0.0004206827,0.01069482,0.002602769,0.9781285,0.0002506,0.007258224],"study_design_scores_gemma":[0.00001832334,0.00004292745,0.0001010827,0.00001225707,0.00001278228,0.0001167127,0.0001531744,0.03192726,0.006157212,0.9565051,0.004942554,0.00001064572],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4243123,0.001029965,0.5354733,0.001595883,0.0001058226,0.0002013268,0.0002582399,0.000301402,0.0367216],"genre_scores_gemma":[0.8963752,0.0005039502,0.0898513,0.0001847942,0.0001218237,0.0002414585,0.0002953743,0.00006096457,0.0123651],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003428545,"threshold_uncertainty_score":0.01146966,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01329980603729951,"score_gpt":0.2157967089046736,"score_spread":0.2024969028673741,"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."}}