{"id":"W1718957939","doi":"10.25088/complexsystems.14.1.29","title":"Sequences of Preimages in Elementary Cellular Automata","year":2003,"lang":"en","type":"article","venue":"Complex Systems","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Cellular automaton; Elementary proof; Mathematics; Automaton; Computer science; Artificial intelligence; Pure mathematics; Algorithm","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004207036,0.0002776749,0.0004752333,0.0009451116,0.0007120761,0.001466871,0.0007470994,0.0007142969,0.002156012],"category_scores_gemma":[0.004689455,0.0003241221,0.0003489376,0.0005099538,0.001830448,0.001464759,0.0006034643,0.0008905558,0.0004648257],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007004794,"about_ca_system_score_gemma":0.0004149157,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008285164,"about_ca_topic_score_gemma":0.0008476049,"domain_scores_codex":[0.9994585,0.0001146121,0.00004645865,0.0001310073,0.0001896979,0.00005974382],"domain_scores_gemma":[0.9982594,0.0009406825,0.0001887449,0.0002293297,0.0002559221,0.0001259657],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000196482,0.00005230541,0.003056047,0.0001241553,0.00001330402,0.000491344,0.0005553362,0.06725918,0.01462216,0.8718821,0.0008030456,0.04094463],"study_design_scores_gemma":[0.0000210571,0.00009716846,0.001067833,0.00004174841,0.00001414125,0.0004023486,0.0001217025,0.2996779,0.01231321,0.6822203,0.003983844,0.00003864088],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5111178,0.0009841585,0.4600796,0.000263367,0.00009657469,0.0001134463,0.0001981946,0.0009882177,0.02615868],"genre_scores_gemma":[0.9276168,0.0003424807,0.06783222,0.00005066291,0.00004062145,0.0001058628,0.0001894046,0.00006324721,0.003758763],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002156012,"threshold_uncertainty_score":0.007212579,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03495621961958453,"score_gpt":0.2603149986046281,"score_spread":0.2253587789850436,"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."}}