{"id":"W2997587333","doi":"10.1017/s1755020320000015","title":"CUT ELIMINATION AND NORMALIZATION FOR GENERALIZED SINGLE AND MULTI-CONCLUSION SEQUENT AND NATURAL DEDUCTION CALCULI","year":2020,"lang":"en","type":"article","venue":"The Review of Symbolic Logic","topic":"Logic, programming, and type systems","field":"Computer Science","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Natural deduction; Sequent; Sequent calculus; Cut-elimination theorem; Mathematics; Curry–Howard correspondence; Normalization (sociology); Calculus (dental); Mathematical proof; Discrete mathematics; Proof calculus","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":[0.004732994,0.0002898434,0.000916136,0.0023672,0.001085585,0.003254644,0.001487073,0.001067592,0.002392937],"category_scores_gemma":[0.00892412,0.0006559504,0.001206296,0.002143024,0.00485756,0.00487832,0.002101165,0.002964078,0.0007191271],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003216,"about_ca_system_score_gemma":0.00184858,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002119335,"about_ca_topic_score_gemma":0.00200151,"domain_scores_codex":[0.996115,0.00103886,0.000244736,0.0005978231,0.001758903,0.0002447463],"domain_scores_gemma":[0.9961063,0.00203447,0.0002419782,0.000707513,0.0007911885,0.000118411],"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":[0.000009139718,0.000009090082,0.0001627845,0.00007298234,0.00001640685,0.00008008116,0.0001707359,0.001359848,0.0004948011,0.9761938,0.000862708,0.0205677],"study_design_scores_gemma":[0.000009719455,0.000004749777,0.0002235172,0.00004374713,0.00001727155,0.0001348846,0.00002168498,0.01075368,0.001403735,0.9739597,0.01341316,0.00001408554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05148958,0.01346934,0.8805006,0.002582975,0.000428752,0.0001033941,0.0001456105,0.0008361076,0.05044368],"genre_scores_gemma":[0.6406659,0.0053143,0.340208,0.001102923,0.0005535358,0.0001760412,0.0002913289,0.000282586,0.01140547],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004732994,"threshold_uncertainty_score":0.02503079,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04934596361689004,"score_gpt":0.2914881138129571,"score_spread":0.2421421501960671,"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."}}