{"paper":{"title":"On Semantic Generalizations of the Bernays-Sch\\\"onfinkel-Ramsey Class with Finite or Co-finite Spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Abhisekh Sankaran, Supratik Chakraborty","submitted_at":"2010-02-23T15:57:36Z","abstract_excerpt":"Motivated by model-theoretic properties of the BSR class, we present a family of semantic classes of FO formulae with finite or co-finite spectra over a relational vocabulary \\Sigma. A class in this family is denoted EBS_\\Sigma(\\sigma), where \\sigma is a subset of \\Sigma. Formulae in EBS_\\Sigma(\\sigma) are preserved under substructures modulo a bounded core and modulo re-interpretation of predicates outside \\sigma. We study properties of the family EBS_\\Sigma = {EBS_\\Sigma(\\sigma) | \\sigma \\subseteq \\Sigma}, e.g. classes in EBS_\\Sigma are spectrally indistinguishable, EBS_\\Sigma(\\Sigma) is sem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4334","kind":"arxiv","version":2},"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"}