{"id":"W2620989609","doi":"","title":"Inductive Proof Search Modulo","year":2007,"lang":"en","type":"article","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Logic, programming, and type systems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Prevention of Organ Failure","funders":"","keywords":"Modulo; Associative property; Completeness (order theory); Commutative property; Set (abstract data type); Mathematics; Automated theorem proving; Computer science; Substitution (logic); Discrete mathematics; Programming language; Algebra over a field; Pure mathematics","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":[0.008067247,0.0001654536,0.0001796393,0.0001645374,0.0003378017,0.0003568307,0.001482433,0.0001172962,0.00003149937],"category_scores_gemma":[0.0004009721,0.0001544384,0.00009171927,0.0007629081,0.0001590061,0.0003881996,0.000564047,0.0002766305,0.0001056108],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000864874,"about_ca_system_score_gemma":0.0001292989,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009023182,"about_ca_topic_score_gemma":0.0007973358,"domain_scores_codex":[0.9964594,0.001727768,0.0003272531,0.0005512479,0.000468778,0.0004655158],"domain_scores_gemma":[0.9962217,0.0005791053,0.0001594391,0.001455507,0.001387982,0.0001962293],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.000002721625,0.0002240436,0.002025653,0.00001796131,0.00001763959,0.00000781162,0.008920025,0.000003598881,0.001657782,0.7871358,0.0001839566,0.199803],"study_design_scores_gemma":[0.00207818,0.000006077047,0.03641653,0.000243655,0.00002798076,0.0001293242,0.001119198,0.04156039,0.6957211,0.08600091,0.1351859,0.001510677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02179579,0.0002302853,0.8711315,0.002340982,0.000195501,0.0002989891,8.113781e-7,0.0002402952,0.1037659],"genre_scores_gemma":[0.9475422,0.00001414585,0.04524498,0.0000703704,0.00003069638,0.00001665258,0.00001233655,0.00001480426,0.007053803],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9257464,"threshold_uncertainty_score":0.6297816,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02312942130467949,"score_gpt":0.2494912916792096,"score_spread":0.2263618703745301,"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."}}