{"id":"W193481530","doi":"10.1007/978-3-642-19391-0_5","title":"On Language Decompositions and Primality","year":2011,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"semigroups and automata theory","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University; University of Manitoba","funders":"","keywords":"Concatenation (mathematics); Computer science; Primality test; Formal language; Prime (order theory); Abstract family of languages; Regular language; Inverse; Theoretical computer science; Algorithm; Arithmetic; Mathematics; Programming language; Combinatorics; Second-generation programming language; Fifth-generation programming language; Automaton","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005733319,0.000351746,0.0003277723,0.0004442762,0.0002124493,0.0003222367,0.001793507,0.0001873167,0.00003804054],"category_scores_gemma":[0.00003609097,0.0003049156,0.00007248927,0.0002252905,0.0005421909,0.0003566089,0.0009867218,0.0005007669,0.00005091761],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001053711,"about_ca_system_score_gemma":0.0001434234,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002487774,"about_ca_topic_score_gemma":0.0000225544,"domain_scores_codex":[0.9977553,0.0000311263,0.0002746421,0.001097827,0.0004366866,0.0004043671],"domain_scores_gemma":[0.9980858,0.0004174551,0.0001426856,0.001145676,0.00006132023,0.0001470932],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004462147,0.00003452298,0.00001658475,0.00002062922,0.00000713805,0.00009659588,0.001307896,0.000292227,0.000200181,0.4252412,0.00002006725,0.5727584],"study_design_scores_gemma":[0.0002254837,0.0002366944,0.0005889433,0.0003544885,0.000007420676,0.0001256806,1.593459e-7,0.05473113,0.002415417,0.9403587,0.0003027838,0.0006530814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001182839,0.0004283679,0.988022,0.0002993447,0.0006200433,0.0001954186,0.00000701406,0.0001856169,0.009059298],"genre_scores_gemma":[0.650158,0.00005421068,0.3448029,0.004241034,0.0002881961,0.000009606064,0.00000683926,0.00003906918,0.00040008],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6489752,"threshold_uncertainty_score":0.9999403,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01201828840534188,"score_gpt":0.2396859396020627,"score_spread":0.2276676511967209,"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."}}