{"id":"W67075882","doi":"10.1007/978-3-540-78913-0_9","title":"The Lattice of Contact Relations on a Boolean Algebra","year":2008,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Constraint Satisfaction and Optimization","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"Brock University","funders":"","keywords":"Boolean algebra; Two-element Boolean algebra; Free Boolean algebra; Boolean algebras canonically defined; Complete Boolean algebra; Algebra over a field; Set (abstract data type); Stone's representation theorem for Boolean algebras; Relation algebra; Computer science; Lattice (music); Mathematics; Theoretical computer science; Pure mathematics; Algorithm; Algebra representation; Programming language; Physics","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":[0.001400163,0.0006931974,0.001295883,0.002779283,0.003052867,0.007765388,0.001665068,0.001348341,0.01243368],"category_scores_gemma":[0.003124762,0.0009100951,0.0009916504,0.004436092,0.004650567,0.01047264,0.001894516,0.002954606,0.002081014],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001986205,"about_ca_system_score_gemma":0.001202335,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00172009,"about_ca_topic_score_gemma":0.001417889,"domain_scores_codex":[0.9977462,0.0006339707,0.0001802956,0.0003363034,0.0008738368,0.0002294103],"domain_scores_gemma":[0.9976528,0.001133742,0.000230056,0.0002743191,0.0003422585,0.0003669002],"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":[0.00001881039,0.00001126968,0.00004181928,0.00002378105,0.000003566833,0.00002743094,0.0001046118,0.0004415938,0.000307024,0.9942985,0.0006863766,0.004035291],"study_design_scores_gemma":[0.000009542196,0.000006460872,0.00003932886,0.000007607411,0.000002569631,0.0000459498,0.00005427445,0.001853986,0.0001858732,0.9935596,0.004227821,0.000006909552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1412895,0.003762058,0.5537685,0.0033255,0.0006781402,0.0001791245,0.00203435,0.00093645,0.2940264],"genre_scores_gemma":[0.8075438,0.002945739,0.129678,0.0007199384,0.001265019,0.0004536409,0.002071636,0.0003861992,0.05493613],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01243368,"threshold_uncertainty_score":0.0415948,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01419696534302546,"score_gpt":0.2304888217408191,"score_spread":0.2162918563977936,"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."}}