{"id":"W1569639046","doi":"10.1007/11538363_35","title":"A Propositional Proof System for Log Space","year":2005,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Logic, programming, and type systems","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Soundness; Proof complexity; Mathematical proof; Mathematics; Bounded function; Space (punctuation); Discrete mathematics; Combinatorics; Polynomial; Computer science; Mathematical analysis","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":[0.001518264,0.0006956921,0.0008493654,0.001488034,0.001533539,0.004150083,0.001826318,0.001197607,0.02255052],"category_scores_gemma":[0.003438557,0.001136794,0.00125003,0.001342375,0.001587941,0.006108877,0.003961704,0.003606527,0.005953027],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001379749,"about_ca_system_score_gemma":0.001997189,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001247874,"about_ca_topic_score_gemma":0.001868735,"domain_scores_codex":[0.9990539,0.0002606579,0.0001026071,0.0001708209,0.0003062208,0.0001057613],"domain_scores_gemma":[0.9981247,0.001129255,0.00007231703,0.0003287253,0.000246761,0.00009820054],"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":[0.0001865321,0.000154899,0.0003940076,0.0004691621,0.00005133567,0.0003019785,0.0006540254,0.005259059,0.007107039,0.7609545,0.0398213,0.1846461],"study_design_scores_gemma":[0.0001945644,0.00006740016,0.0002422793,0.0001318607,0.00008815117,0.0003475541,0.0001200031,0.04161196,0.008247674,0.8476043,0.1012762,0.00006788132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.005325537,0.0005447936,0.9659286,0.001093268,0.000314317,0.0001972935,0.001246114,0.01114195,0.01420811],"genre_scores_gemma":[0.1886791,0.0009886904,0.7752004,0.001105032,0.0004276463,0.0004649441,0.002770024,0.002278443,0.0280858],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02255052,"threshold_uncertainty_score":0.07543904,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01835986330296505,"score_gpt":0.2417337500079418,"score_spread":0.2233738867049767,"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."}}