{"paper":{"title":"The em-convex rewrite system","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.LO","math.MG"],"primary_cat":"cs.LO","authors_text":"Marius Buliga","submitted_at":"2018-07-05T15:40:55Z","abstract_excerpt":"We introduce and study em (or \"emergent\"), a lambda calculus style rewrite system inspired from dilations structures in metric geometry. Then we add a new axiom (convex) and explore its consequences. Although (convex) forces commutativity of the infinitesimal operations, Theorems 6.2, 8.9 and Proposition 8.7 appear as a lambda calculus style version of Gleason and Montgomery-Zippin solution to the Hilbert 5th problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02058","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"}