{"id":"W2170207118","doi":"10.1006/jcss.1999.1673","title":"Circuits and Expressions with Nonassociative Gates","year":2000,"lang":"en","type":"article","venue":"Journal of Computer and System Sciences","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":24,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Chicoutimi; McGill University","funders":"Santa Fe Institute; Natural Sciences and Engineering Research Council of Canada; McGill University; National Science Foundation","keywords":"Quasigroup; Mathematics; Multiplication (music); Iterated function; Group (periodic table); Abelian group; Semigroup; Counterexample; Expression (computer science); Discrete mathematics; Class (philosophy); Value (mathematics); Algebra over a field; Pure mathematics; Combinatorics; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0003964392,0.00006405071,0.0001642675,0.00006176896,0.0001243315,0.00009123277,0.00008594814,0.00002033378,0.000005344368],"category_scores_gemma":[8.733033e-7,0.00003761404,0.00001998923,0.0001087984,0.00007454914,0.0002087607,0.000005237293,0.00005565735,0.00000102372],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007228685,"about_ca_system_score_gemma":0.000009562734,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001198202,"about_ca_topic_score_gemma":6.240481e-7,"domain_scores_codex":[0.9994705,0.00004843578,0.0001726392,0.00005980188,0.0001539307,0.00009470501],"domain_scores_gemma":[0.9997415,0.00007560076,0.00005647844,0.0000300824,0.00002954287,0.00006677516],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"observational","study_design_scores_codex":[0.0001682637,0.0002644445,0.2490977,0.003023807,0.001671541,0.0007408786,0.09765932,0.1415035,0.01175906,0.06489587,0.008564355,0.4206512],"study_design_scores_gemma":[0.009125432,0.007505666,0.465309,0.02073532,0.0004032358,0.02438751,0.03786642,0.4035423,0.00489419,0.006014233,0.01706885,0.00314779],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9921815,0.001198179,0.002096385,0.00001979885,0.0001858805,0.00003754378,0.000001153991,0.00001825654,0.004261328],"genre_scores_gemma":[0.9995157,0.000039566,0.0003026207,0.000007621888,0.0001034579,6.179637e-7,3.006415e-8,0.000002685929,0.00002767401],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4175034,"threshold_uncertainty_score":0.1533856,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006162769610364968,"score_gpt":0.1818692598565428,"score_spread":0.1757064902461778,"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."}}