{"paper":{"title":"An interpolant in predicate G\\\"odel logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Mai Gehrke, Matthias Baaz, Sam van Gool","submitted_at":"2018-03-08T08:48:08Z","abstract_excerpt":"A logic satisfies the interpolation property provided that whenever a formula {\\Delta} is a consequence of another formula {\\Gamma}, then this is witnessed by a formula {\\Theta} which only refers to the language common to {\\Gamma} and {\\Delta}. That is, the relational (and functional) symbols occurring in {\\Theta} occur in both {\\Gamma} and {\\Delta}, {\\Gamma} has {\\Theta} as a consequence, and {\\Theta} has {\\Delta} as a consequence. Both classical and intuitionistic predicate logic have the interpolation property, but it is a long open problem which intermediate predicate logics enjoy it. In 2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03003","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"}