{"id":"W2523839178","doi":"10.1016/j.tcs.2017.05.001","title":"Functional clones and expressibility of partition functions","year":2017,"lang":"en","type":"article","venue":"Theoretical Computer Science","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Partition (number theory); Combinatorics; Functional analysis; Multiplication (music); Boolean function; Discrete mathematics; Constraint (computer-aided design); Set (abstract data type); Lattice (music); Computer science; Biology; Physics; Genetics","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":[0.003383621,0.0008656259,0.001376624,0.00250477,0.002425663,0.006696755,0.001971405,0.002320786,0.00398826],"category_scores_gemma":[0.01215494,0.001087368,0.001772102,0.002943715,0.005823379,0.01095475,0.004319939,0.003335864,0.0005535239],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002392763,"about_ca_system_score_gemma":0.001052991,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001441014,"about_ca_topic_score_gemma":0.0009903946,"domain_scores_codex":[0.996743,0.0007995878,0.0002225121,0.0006672372,0.0008531649,0.0007145162],"domain_scores_gemma":[0.9896871,0.006323983,0.0007212885,0.001671191,0.0009948267,0.0006015081],"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":[0.00003637655,0.00001389441,0.0003663976,0.00001655544,0.000007641393,0.0000776293,0.0005762835,0.0007963968,0.001062009,0.9937656,0.0001586484,0.003122586],"study_design_scores_gemma":[0.00002278552,0.00001586253,0.0002193389,0.00001084867,0.00002353824,0.0001644878,0.0001355352,0.004355849,0.001505085,0.9923099,0.00122204,0.00001460088],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.609338,0.0005696643,0.352722,0.00115864,0.00008559753,0.00005143947,0.0002465445,0.000701715,0.03512644],"genre_scores_gemma":[0.9668695,0.000292619,0.02320694,0.0001820788,0.00009292157,0.0000985469,0.0002503765,0.0002186765,0.008788346],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006696755,"threshold_uncertainty_score":0.01789451,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02092870772223816,"score_gpt":0.2655031272994424,"score_spread":0.2445744195772043,"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."}}