{"id":"W104865677","doi":"","title":"Toward Solving Equations in Kleene Algebras","year":2007,"lang":"en","type":"article","venue":"New Trends in Software Methodologies, Tools and Techniques","topic":"Logic, programming, and type systems","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"","keywords":"Idempotence; Kleene algebra; Semiring; Mathematics; Sign (mathematics); Algebra over a field; Algebraic number; Identity (music); Algebraic equation; Kleene's recursion theorem; Resolution (logic); Applied mathematics; Zero (linguistics); Pure mathematics; Nonlinear system; Discrete mathematics; Computer science; Mathematical analysis","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":[0.004762332,0.0006287573,0.0008005191,0.001495583,0.001401505,0.003415489,0.001314086,0.001188956,0.003192072],"category_scores_gemma":[0.01186517,0.0006237637,0.002470823,0.00150154,0.003410506,0.00905603,0.003702724,0.005228464,0.0006909095],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00126277,"about_ca_system_score_gemma":0.001876607,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00207346,"about_ca_topic_score_gemma":0.002592302,"domain_scores_codex":[0.9966365,0.001193521,0.000250748,0.0004460867,0.001186675,0.0002863937],"domain_scores_gemma":[0.9955779,0.003091204,0.0003034622,0.0003405679,0.0005438565,0.0001429978],"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":[0.00002631037,0.0000504786,0.0004298041,0.0001783769,0.000040748,0.0001045048,0.0009592722,0.01073434,0.002863488,0.9618034,0.0007356374,0.02207369],"study_design_scores_gemma":[0.0000280633,0.00002623853,0.000139374,0.00008430638,0.00003678695,0.0000971618,0.0004162656,0.04024556,0.004865286,0.9414588,0.01257397,0.00002812879],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02972323,0.0007544563,0.9550079,0.001675146,0.00007965459,0.0001010854,0.00007421248,0.0002564493,0.01232787],"genre_scores_gemma":[0.2331707,0.002351814,0.7563625,0.0006289378,0.0002500877,0.0001583186,0.0002740801,0.0001649981,0.006638464],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004762332,"threshold_uncertainty_score":0.02518594,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2150909377911314,"score_gpt":0.3822149273770571,"score_spread":0.1671239895859257,"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."}}