{"id":"W2095441824","doi":"10.1007/s11225-010-9294-y","title":"On the Proof-Theory of two Formalisations of Modal First-Order Logic","year":2010,"lang":"en","type":"article","venue":"Studia Logica","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Sequent; Sequent calculus; Mathematical proof; Cut-elimination theorem; Normal modal logic; Modal logic; Proof theory; Calculus (dental); Mathematics; Proof calculus; Modal; Natural deduction; Predicate logic; Structural proof theory; Dynamic logic (digital electronics); Predicate (mathematical logic); Discrete mathematics; Algebra over a field; Computer science; Pure mathematics; Programming language; Description 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004572568,0.001091857,0.00133631,0.002593032,0.002954087,0.006976961,0.0032752,0.003090716,0.009175087],"category_scores_gemma":[0.009333911,0.0009801997,0.002490384,0.002121367,0.008924989,0.01378684,0.004778886,0.006765421,0.001063097],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002995831,"about_ca_system_score_gemma":0.001629806,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001669705,"about_ca_topic_score_gemma":0.001642573,"domain_scores_codex":[0.9965953,0.001529647,0.0001822157,0.0003349337,0.0008299889,0.0005278335],"domain_scores_gemma":[0.9935399,0.004218464,0.0002800944,0.000842815,0.0006719104,0.0004468842],"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":[0.00001673804,0.00001226862,0.00003092005,0.00001855443,0.000004373481,0.00002244283,0.00014823,0.0002726866,0.0001197981,0.9977302,0.0003570161,0.001266691],"study_design_scores_gemma":[0.00002342171,0.00000831663,0.00004304569,0.00001402417,0.000007264992,0.00002574752,0.00005318506,0.001741355,0.0001903032,0.9955761,0.002308913,0.000008404351],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05955892,0.004400657,0.7709972,0.008650854,0.001346524,0.0002016345,0.0004735567,0.0008603903,0.1535103],"genre_scores_gemma":[0.7973654,0.001576608,0.1740051,0.00153838,0.0007135362,0.0002262913,0.0005181106,0.0003128168,0.02374367],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009175087,"threshold_uncertainty_score":0.03069377,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02698497281611857,"score_gpt":0.2651746369767692,"score_spread":0.2381896641606506,"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."}}