{"id":"W43771048","doi":"10.1007/978-3-662-07003-1_10","title":"Fixed Point Logics and Complexity Classes","year":2004,"lang":"en","type":"book-chapter","venue":"","topic":"Formal Methods in Verification","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Reachability; Graph; Theoretical computer science; Computer science; Mathematics; Fixed point; Computation; Discrete mathematics; Algorithm","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":[0.0002930492,0.0002241166,0.0002475249,0.00009005272,0.00008515686,0.0001326458,0.0006096993,0.0002278118,0.0002226724],"category_scores_gemma":[0.00003900828,0.0001943554,0.00005915005,0.0000293482,0.0002089605,0.0002772998,0.0004016871,0.0002628384,0.0001176563],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009312727,"about_ca_system_score_gemma":0.00007843254,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002084439,"about_ca_topic_score_gemma":0.00001122994,"domain_scores_codex":[0.998877,0.00002188143,0.0002617158,0.0004430537,0.0002350905,0.0001612661],"domain_scores_gemma":[0.9989107,0.00005894752,0.000163731,0.0006966318,0.00008838339,0.00008165939],"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":[0.000001436684,0.000005301948,0.00000201479,0.00002228766,0.000007711375,0.000004058888,0.00004039314,0.000002700162,0.000008088504,0.9882174,0.000350785,0.01133782],"study_design_scores_gemma":[0.0001203461,0.00008408896,0.0002972352,0.00004683966,0.000007365835,0.00003303643,0.00000258346,0.002288939,0.0002051092,0.9472278,0.04938952,0.0002970775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.000002978043,0.00008262272,0.4915454,0.000265456,0.0002094782,0.0001151592,0.000003057917,0.0001519763,0.5076239],"genre_scores_gemma":[0.0004677873,0.0001260923,0.906751,0.0005176633,0.000056665,0.00000312679,0.000007012261,0.00001405877,0.09205665],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4155672,"threshold_uncertainty_score":0.7925581,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1277108677901948,"score_gpt":0.3037117558248579,"score_spread":0.1760008880346631,"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."}}