{"id":"W2031927644","doi":"10.1007/s11225-006-6610-7","title":"The Epsilon Calculus and Herbrand Complexity","year":2006,"lang":"en","type":"article","venue":"Studia Logica","topic":"Logic, programming, and type systems","field":"Computer Science","cited_by":35,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Sequent calculus; Mathematics; Calculus (dental); Natural deduction; Cut-elimination theorem; Operator (biology); Discrete mathematics; Algebra over a field; Pure mathematics; Proof calculus; Mathematical proof","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":[0.000345824,0.0001107702,0.0001438582,0.00001451015,0.0005858126,0.000243093,0.0004033566,0.00003991053,0.00000348017],"category_scores_gemma":[0.00002112194,0.00006052747,0.00004109022,0.000156344,0.0002045184,0.00008149619,0.0002425886,0.00008271155,0.00004293905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001596427,"about_ca_system_score_gemma":0.0000192888,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003932781,"about_ca_topic_score_gemma":0.000415473,"domain_scores_codex":[0.9990271,0.00008515724,0.0001595606,0.0002739595,0.0001746325,0.0002796437],"domain_scores_gemma":[0.9994204,0.0001127536,0.00006362917,0.0003145262,0.00004256967,0.00004611246],"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":[0.00000277391,0.00003278343,0.003270901,0.000004827153,0.000009661326,0.00001210489,0.0001407253,0.0000019611,0.00002147333,0.9861284,0.002674864,0.007699491],"study_design_scores_gemma":[0.0008000223,0.000275911,0.1527718,0.0000027111,0.00001212801,0.00004983806,0.0001468579,0.0012843,0.00008622347,0.4246717,0.4195467,0.0003517635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.04688468,0.01675142,0.4290733,0.00780057,0.002469783,0.001537977,0.000003092296,0.0009381126,0.4945411],"genre_scores_gemma":[0.997824,0.00003811323,0.001217546,0.00009546053,0.00009765064,0.00001957008,8.659405e-7,0.000003405739,0.0007033516],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9509394,"threshold_uncertainty_score":0.4505656,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03679857917696052,"score_gpt":0.2540852957107809,"score_spread":0.2172867165338204,"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."}}