{"id":"W1513961548","doi":"10.3233/fun-2007-791-205","title":"A Propositional Proof System with Quantification Over Permutations","year":2007,"lang":"en","type":"article","venue":"Fundamenta Informaticae","topic":"Logic, programming, and type systems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Propositional variable; Propositional formula; Computer science; Propositional calculus; Mathematics; Discrete mathematics; Theoretical computer science; Intermediate logic","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":[0.0005372106,0.0001231881,0.0001220363,0.0001268709,0.000242511,0.0003534702,0.0003493297,0.00004699765,0.00001721635],"category_scores_gemma":[0.000007977153,0.00008898808,0.00003804664,0.0003005291,0.00005801726,0.001073568,0.00005969911,0.00008211587,0.0002288287],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001563627,"about_ca_system_score_gemma":0.0000907274,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002924614,"about_ca_topic_score_gemma":0.00001727946,"domain_scores_codex":[0.9986702,0.00002234143,0.0004087058,0.0001607047,0.0004596091,0.0002784626],"domain_scores_gemma":[0.99916,0.00004460284,0.000202792,0.0003656333,0.0001261047,0.0001008959],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001068358,0.00006070752,0.0009034903,0.0001584073,0.00002672129,0.00000687009,0.002180197,0.00006037368,0.00005493683,0.9908765,0.0003689334,0.00529217],"study_design_scores_gemma":[0.008056109,0.003697312,0.09804886,0.0004786166,0.0001932672,0.002753375,0.02547971,0.5868642,0.01078044,0.01088041,0.2492242,0.00354344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0061014,0.00001928762,0.9678443,0.0001699134,0.0002056505,0.000628794,0.000002161989,0.0002323301,0.02479618],"genre_scores_gemma":[0.98604,3.707253e-7,0.01336449,0.0001179709,0.00005280511,0.00007135873,0.00003535739,0.000006198114,0.0003114287],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9799961,"threshold_uncertainty_score":0.3628829,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01971584741629512,"score_gpt":0.2577705835148094,"score_spread":0.2380547360985143,"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."}}