{"id":"W1659750926","doi":"","title":"Block Substitutions and Their Properties","year":2006,"lang":"en","type":"article","venue":"","topic":"DNA and Biological Computing","field":"Biochemistry, Genetics and Molecular Biology","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Substitution (logic); Decidability; Closure (psychology); Hierarchy; Block (permutation group theory); Computer science; Mathematics; Type (biology); Theoretical computer science; Algebra over a field; Algorithm; Discrete mathematics; Programming language; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00003387438,0.00005209755,0.00004027223,0.000005872865,0.00006502376,0.00001342314,0.00003745454,0.00004319227,0.000003188929],"category_scores_gemma":[0.000008893029,0.00002845069,0.0000192866,0.00001908236,0.00006316527,5.687443e-7,0.00005107667,0.00001956462,0.000002840278],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000001092582,"about_ca_system_score_gemma":0.000006742629,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002737199,"about_ca_topic_score_gemma":0.00002628171,"domain_scores_codex":[0.9997185,0.00000968565,0.00005669391,0.0001151281,0.00001426708,0.00008565761],"domain_scores_gemma":[0.9998952,0.000001581035,0.000009561916,0.00006147185,0.00001639347,0.00001582039],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00000471511,0.00001787362,0.00316166,0.000002308598,0.000004014632,2.608481e-7,0.000002466785,0.00001689336,0.9944177,0.001004318,0.0004542893,0.0009135043],"study_design_scores_gemma":[0.0001731931,0.0001314915,0.01013024,0.000006067585,0.000003016307,0.00002467547,0.00004649689,0.0001737518,0.9204269,0.0004051437,0.068325,0.0001540218],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9879857,0.0009675265,0.0005465383,0.0001213963,0.00002237223,0.00003897139,0.000001021671,0.00001529453,0.01030118],"genre_scores_gemma":[0.9983748,0.00001525517,0.0001727242,0.0001216686,0.0001299607,0.000002104649,0.000008311798,0.000002047145,0.001173108],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07399078,"threshold_uncertainty_score":0.1160185,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01227236194107119,"score_gpt":0.1910393230670962,"score_spread":0.178766961126025,"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."}}