{"paper":{"title":"Realizability in OCAs and AKSs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Mauricio Guillermo, Octavio Malherbe, Walter Ferrer Santos","submitted_at":"2015-12-24T18:37:54Z","abstract_excerpt":"In the context of the $\\mathcal{OCA}$ associated to an ${\\mathcal{AKS}}$ we introduce a closure operator and two associated maps that replace the closure and the maps defined in \\cite{kn:ocar}. We were motivated by the search of a full adjunction to the original implication map. We show that all the constructions from $\\mathcal{OCA}$s to triposes developped in \\cite{kn:ocar} can be also implemented in the new situation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07879","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}